Equations of circles(英文数学)
数学中英名词对照表
数学中英名词对照表以下是一些常见的数学中英名词对照表：1.数学(Mathematics):2.代数(Algebra):•代数方程(Algebraic equation)•多项式(Polynomial)•因子(Factor)•等式(Equation)•变量(Variable)•系数(Coefficient)3.几何(Geometry):•图形(Figure)•角度(Angle)•直线(Line)•圆(Circle)•面积(Area)•体积(Volume)•对称(Symmetry)4.统计学(Statistics):•数据(Data)•平均数(Mean)•中位数(Median)•众数(Mode)•标准差(Standard deviation)•概率(Probability)•抽样(Sampling)5.微积分(Calculus):•导数(Derivative)•积分(Integration)•极限(Limit)•微分方程(Differential equation)•曲线(Curve)•点斜式(Point-slope form)6.线性代数(Linear Algebra):•矩阵(Matrix)•行列式(Determinant)•向量(Vector)•特征值(Eigenvalue)•线性方程组(System of linear equations)•范数(Norm)7.数论(Number Theory):•质数(Prime number)•最大公约数(Greatest common divisor, GCD)•最小公倍数(Least common multiple, LCM)•同余(Congruence)•素因数分解(Prime factorization)8.逻辑学(Logic):•命题(Proposition)•范式(Normal form)•谓词(Predicate)•推理(Inference)•命题逻辑(Propositional logic)•谓词逻辑(Predicate logic)这只是数学中的一小部分术语对照表，数学领域非常广泛，涵盖了许多分支和专业术语。
数学专业英语词汇（Q）_数学物理英语词汇
quadrable 可求面积的quadrangle 四角形quadrangular 四角形的quadrangular prism 四角柱quadrant 象限quadrant of a circle 四分圆quadrantal 象限的quadrate 二次的quadratic 二次的quadratic convergence 二次收敛quadratic equation 二次方程quadratic form 二次形式quadratic formula 二次公式quadratic function 二次函数quadratic inequality 二次不等式quadratic interpolation 二次插值法quadratic mapping 二次映射quadratic mean 二次平均quadratic nonresidue 二次非剩余quadratic optimization 二次最优化quadratic programming 二次最优化quadratic reciprocity 二次互反性quadratic reciprocity law 二次互反律quadratic residue 二次剩余quadratic residue symbol 二次剩余记号quadrature 求积法quadrature formula 求积公式quadrature of the circle 求圆的面积quadric 二次的quadric surface 二次曲面quadrilateral 四边形;四边形的quadrillion 10quadruple 四倍的quadruple point 四重点qualitative 定性的qualitative analysis 定性分析quantifier 量词quantile of order p p分位数quantitative 定量的quantitative analysis 定量分析quantity 量quantum 量子quantum mechanics 量子力学quarter 四分之一quartic 四次的quartic curve 四次曲线quartic manifold 四次廖quartic surface 四次曲面quartic symmetry 四次对称quartile 四分位quas invertible element 拟正则元quasi 准quasi affine mapping 拟仿射映射quasi affine transformation 拟仿射映射quasi algebraically closed field 拟代数闭域quasi analytic class 拟解析类quasi analytic function 拟解析函数quasi analyticity 拟解析性quasi asymptote 拟渐近线quasi bounded 拟有界的quasi bounded function 拟有界函数quasi coherent 拟凝聚的quasi compactum 拟紧统quasi complement 拟补quasi complemented lattice 拟补格quasi complete 拟完备的quasi complete space 拟完备空间quasi complete topology 拟完备拓扑quasi complex 拟复形quasi complex manifold 拟复廖quasi component 拟分量quasi concave function 拟凹函数quasi concavity 拟凹性quasi conformality 拟保形quasi continuity 拟连续性quasi continuous 拟连续的quasi continuous function 拟连续函数quasi convergence 拟收敛quasi convex function 拟凸函数quasi convexity 拟凸性quasi coordinates 拟坐标quasi differential equation 拟微分方程quasi directed set 拟有向集quasi discrete space 拟离散空间quasi discrete spectrum 拟离散谱quasi distance 拟距离quasi equivalent 拟等价的quasi everywhere 拟处处quasi field 拟域quasi function 拟函数quasi geodesic 拟测地线quasi harmonic differential equation 拟低微分方程quasi homeomorphic space 拟同胚空间quasi homeomorphism 拟同胚quasi identity 拟恒等式quasi interior point 拟内点quasi invariant measure 拟不变测度quasi inverse element 拟逆元quasi inverse functor 拟逆函子quasi latin square 拟拉丁方quasi linear 拟线性的quasi linear equation 拟线性方程quasi local ring 拟局部环quasi metric 拟度量quasi metric space 拟度量空间quasi norm 拟范数quasi normal family 拟正规族quasi normal vectors 拟正规向量quasi normed linear space 拟赋范线性空间quasi normed space 拟赋范空间quasi open mapping 拟开映射quasi order 拟序quasi periodic 拟周期的quasi periodic function 拟周期函数quasi periodic set 拟周期集quasi periodicity 拟周期quasi plane curve 拟平面曲线quasi polynomial 拟多项式quasi random sampling 拟随机抽样quasi regular element 拟正则元quasi rotation 拟旋转quasi rotation group 拟旋转群quasi self adjoint operator 伪自伴随算子quasi semi order 拟半有序quasi solution 拟解quasi stationary 拟稳定的quasi stationary state 拟正常态quasi strongly connected graph 准强连通图quasi subvariety 拟子簇quasi symmetry 准对称quasi translation 拟平移quasi variational inequality 准变分不等式quasicompact space 拟紧空间quasiconformal mapping 拟保角映射quasigroup 拟群quasilength 拟长度quasilinear autonomous system 拟线性自控系统quasinilpotent operator 拟幂零算子quasis tochastic matrix 拟随机矩阵quasiuniform convergence 拟一致收敛quaternary number system 四进制数系quaternion 四元数quaternion algebra 四元数代数quaternion elliptic space 四元数椭圆空间quaternion field 四元数体quaternion function 四元数函数quaternion group 四元群quaternionic vector 四元数向量queue 排队queuing problem 排队问题queuing process 排队过程queuing theory 排队论quick access memory 快速存取存储器quinary digit 五进制数字quinary notation 五进记数法quintic curve 五次曲线quintic surface 五次曲面quintillion 10quod erat demonstrandum 证完quota sampling 配额抽样quotient 商quotient algebra 商代数quotient bundle 商丛quotient category 商范畴quotient chain complex 商链复形quotient criterion 达朗贝尔比例试验法quotient field 商域quotient group 商群quotient groupoid 商广群quotient manifold 商廖quotient measure 商测度quotient module 商模quotient object 商对象quotient representation 商表示quotient ring 商环quotient set 商集quotient sheaf 商层quotient space 商空间quotient symbol 商符号quotient topology 商拓扑。
SAT考试备考数学题目40. Circle Equation
2. A circle in the xy-plane has the equation x 17.5
15.3 18.1
Which of the following best describes the location of the center of the circle and the length of its
A. x
22 24
257
B. x
22 24
257
C. x
22 24
257
ቤተ መጻሕፍቲ ባይዱ
D. x
22 24
257
Correct answer:D Difficulty level:2
12. A circle in the xy-plane has a center at (-32.7,-9.08) and a radius of√10 .Which of the
2
C. x 2
D. x 2 Correct answer:D Difficulty level:4
25.A circle in the xy-plane has the equation: x
10 32 272 0
Which of the following best describes the location of the center of the circle and the length of its
16.A circle in the xy-plane has its center at (-2.8,6.1) and radius 4.2. Which of the following is an
equation of the circle?
Worksheets-Equations-of-Circles
Equation: ______________________
4. C origin and (-5, 2) ( )2 + ( )2 = ___2
Find r2 using the distance formula:
Equation: ______________________
Created by: D. Roesler Katy ISD
3. x 52 y 42 41
C=( , ) r = ______
Name __________________
Date __________
Period ______
Circles Worksheet Day #2
Put each equation in standard form and graph the circle.
( )2 + ( )2 = ___2 Equation: __________________________
2. C (-3, 4) r = 2 5 ( )2 + ( )2 = ___2
Equation: __________________________
Given the center and another point on the circle, write the equation.
To find r2 either plug in the point or use the distance formula, d x2 x1 2 y2 y1 2 .
3. C (4, -7) and (5, 3) ( )2 + ( )2 = ___2
Find r2 by plugging in the point ( , ):
数学专业英语词汇（N）_数学物理英语词汇
n ary relation n元关系n ball n维球n cell n维胞腔n chromatic graph n色图n coboundary n上边缘n cocycle n上循环n connected space n连通空间n dimensional column vector n维列向量n dimensional euclidean space n维欧几里得空间n dimensional rectangular parallelepiped n维长方体n dimensional row vector n维行向量n dimensional simplex n单形n dimensional skeleton n维骨架n disk n维圆盘n element set n元集n fold extension n重扩张n gon n角n graph n图n homogeneous variety n齐次簇n person game n人对策n simplex n单形n sphere bundle n球丛n th member 第n项n th partial quotient 第n偏商n th power operation n次幂运算n th root n次根n th term 第n项n times continuously differentiable n次连续可微的n times continuously differentiable function n次连续可微函数n tuple n组n tuply connected domain n重连通域n universal bundle n通用丛nabla 倒三角算子nabla calculation 倒三角算子计算nabla operator 倒三角算子napier's logarithm 讷代对数natural boundary 自然边界natural boundary condition 自然边界条件natural coordinates 自然坐标natural equation 自然方程natural equivalence 自然等价natural exponential function 自然指数函数natural frequency 固有频率natural geometry 自然几何natural injection 自然单射natural isomorphism 自然等价natural language 自然语言natural logarithm 自然对数natural mapping 自然映射natural number 自然数natural oscillation 固有振荡natural sine 正弦真数natural transformation 自然变换naught 零necessary and sufficient conditions 必要充分的条件necessary and sufficient statistic 必要充分统计量necessary condition 必要条件necessity 必然性negation 否定negation sign 否定符号negation symbol 否定符号negative 负数negative angle 负角negative binomial distribution 负二项分布negative complex 负复形negative correlation 负相关negative definite form 负定型negative definite hermitian form 负定埃尔米特形式negative definite quadratic form 负定二次形式negative function 负函数negative number 负数negative operator 负算子negative parity 负电阻negative part 负部分negative particular proposition 否定特称命题negative proposition 否定命题negative rotation 反时针方向旋转negative semidefinite 半负定的negative semidefinite eigenvalue problem 半负定特盏问题negative semidefinite form 半负定型negative semidefinite quadratic form 半负定二次形式negative sign 负号negative skewness 负偏斜性negative variation 负变差negligible quantity 可除量neighborhood 邻域neighborhood base 邻域基neighborhood basis 邻域基neighborhood filter 邻域滤子neighborhood retract 邻域收缩核neighborhood space 邻域空间neighborhood system 邻域系neighborhood topology 邻域拓扑neighboring vertex 邻近项点nephroid 肾脏线nerve 神经nested intervals 区间套net 网net function 网格函数net of curves 曲线网net of lines 直线网network 网络network analysis 网络分析network flow problem 网络潦题network matrix 网络矩阵neumann boundary condition 诺伊曼边界条件neumann function 诺伊曼函数neumann problem 诺伊曼问题neumann series 诺伊曼级数neutral element 零元素neutral line 中线neutral plane 中性平面neutral point 中性点newton diagram 牛顿多边形newton formula 牛顿公式newton identities 牛顿恒等式newton interpolation polynomial 牛顿插值多项式newton method 牛顿法newton potential 牛顿位势newtonian mechanics 牛顿力学nice function 佳函数nil ideal 零理想nil radical 幂零根基nilalgebra 幂零代数nilpotency 幂零nilpotent 幂零nilpotent algebra 幂零代数nilpotent element 幂零元素nilpotent group 幂零群nilpotent ideal 幂零理想nilpotent matrix 幂零矩阵nilpotent radical 幂零根基nine point circle 九点圆nine point finite difference scheme 九点有限差分格式niveau line 等位线niveau surface 等位面nodal curve 结点曲线nodal line 交点线nodal point 节点node 节点node locus 结点轨迹node of a curve 曲线的结点noetherian category 诺特范畴noetherian object 诺特对象nomogram 算图nomographic 列线图的nomographic chart 算图nomography 图算法non additivity 非加性non archimedean geometry 非阿基米德几何non archimedean valuation 非阿基米德赋值non countable set 不可数集non critical point 非奇点non denumerable 不可数的non denumerable set 不可数集non developable ruled surface 非可展直纹曲面non enumerable set 不可数集non euclidean geometry 非欧几里得几何学non euclidean motion 非欧几里得运动non euclidean space 非欧几里得空间non euclidean translation 非欧几里得平移non euclidean trigonometry 非欧几里得三角学non homogeneity 非齐non homogeneous chain 非齐次马尔可夫链non homogeneous markov chain 非齐次马尔可夫链non isotropic plane 非迷向平面non linear 非线性的non negative semidefinite matrix 非负半正定阵non oriented graph 无向图non parametric test 无分布检验non pascalian geometry 非拍斯卡几何non ramified extension 非分歧扩张non rational function 无理分数non relativistic approximation 非相对性近似non reversibility 不可逆性non singular 非奇的non stationary random process 不平稳随机过程non steady state 不稳定状态non symmetric 非对称的non symmetry 非对称non zero sum game 非零和对策nonabsolutely convergent series 非绝对收敛级数nonagon 九边形nonassociate 非结合的nonassociative ring 非结合环nonbasic variable 非基本变量noncentral chi squre distribution 非中心分布noncentral f distribution 非中心f分布noncentral t distribution 非中心t分布noncentrality parameter 非中心参数nonclosed group 非闭群noncommutative group 非交换群noncommutative ring 非交换环noncommutative valuation 非交换赋值noncommuting operators 非交换算子noncomparable elements 非可比元素nondegeneracy 非退化nondegenerate collineation 非退化直射变换nondegenerate conic 非退化二次曲线nondegenerate critical point 非退化临界点nondegenerate distribution 非退化分布nondegenerate set 非退化集nondense set 疏集nondenumerability 不可数性nondeterministic automaton 不确定性自动机nondiagonal element 非对角元nondiscrete space 非离散空间nonexistence 不存在性nonfinite set 非有限集nonholonomic constraint 不完全约束nonhomogeneity 非齐性nonhomogeneous 非齐次的nonhomogeneous linear boundary value problem 非齐次线性边值问题nonhomogeneous linear differential equation 非齐次线性微分方程nonhomogeneous linear system of differential equations 非齐次线性微分方程组nonisotropic line 非迷向线nonlimiting ordinal 非极限序数nonlinear equation 非线性方程nonlinear functional analysis 非线性泛函分析nonlinear lattice dynamics 非线性点阵力学nonlinear operator 非线性算子nonlinear optimization 非线性最优化nonlinear oscillations 非线性振动nonlinear problem 非线性问题nonlinear programming 非线性最优化nonlinear restriction 非线性限制nonlinear system 非线性系统nonlinear trend 非线性瞧nonlinear vibration 非线性振动nonlinearity 非线性nonlogical axiom 非逻辑公理nonlogical constant 非逻辑常数nonmeager set 非贫集nonmeasurable set 不可测集nonnegative divisor 非负除数nonnegative number 非负数nonnumeric algorithm 非数值的算法nonorientable contour 不可定向周线nonorientable surface 不可定向的曲面nonorthogonal factor 非正交因子nonparametric confidence region 非参数置信区域nonparametric estimation 非参数估计nonparametric method 非参数法nonparametric test 非参数检定nonperfect set 非完备集nonperiodic 非周期的nonperiodical function 非周期函数nonplanar graph 非平面图形nonprincipal character 非重贞nonrandom sample 非随机样本nonrandomized test 非随机化检验nonrational function 非有理函数nonremovable discontinuity 非可去不连续点nonrepresentative sampling 非代表抽样nonresidue 非剩余nonsense correlation 产生错觉相关nonsingular bilinear form 非奇双线性型nonsingular curve 非奇曲线nonsingular linear transformation 非退化线性变换nonsingular matrix 非退化阵nonspecial group 非特殊群nonstable 不稳定的nonstable homotopy group 非稳定的同伦群nonstandard analysis 非标准分析nonstandard model 非标准模型nonstandard numbers 非标准数nonsymmetric relation 非对称关系nonsymmetry 非对称nontangential 不相切的nontrivial element 非平凡元素nontrivial solution 非平凡解nonuniform convergence 非一致收敛nonvoid proper subset 非空真子集nonvoid set 非空集nonzero vector 非零向量norm 范数norm axioms 范数公理norm form 范形式norm of a matrix 阵的范数norm of vector 向量的模norm preserving mapping 保范映射norm residue 范数剩余norm residue symbol 范数剩余符号norm topology 范拓朴normability 可模性normal 法线normal algorithm 正规算法normal basis theorem 正规基定理normal bundle 法丛normal chain 正规链normal cone 法锥面normal congruence 法汇normal coordinates 正规坐标normal correlation 正态相关normal curvature 法曲率normal curvature vector 法曲率向量normal curve 正规曲线normal density 正规密度normal derivative 法向导数normal dispersion 正常色散normal distribution 正态分布normal distribution function 正态分布函数normal equations 正规方程normal error model 正规误差模型normal extension 正规开拓normal family 正规族normal force 法向力normal form 标准型normal form problem 标准形问题normal form theorem 正规形式定理normal function 正规函数normal homomorphism 正规同态normal integral 正规积分normal linear operator 正规线性算子normal mapping 正规映射normal matrix 正规矩阵normal number 正规数normal operator 正规算子normal order 良序normal plane 法面normal polygon 正规多角形normal polynomial 正规多项式normal population 正态总体normal probability paper 正态概率纸normal process 高斯过程normal sequence 正规序列normal series 正规列normal set 良序集normal simplicial mapping 正规单形映射normal solvable operator 正规可解算子normal space 正规空间normal surface 法曲面normal tensor 正规张量normal to the surface 曲面的法线normal valuation 正规赋值normal variate 正常变量normal variety 正规簇normal vector 法向量normality 正规性normalization 标准化normalization theorem 正规化定理normalize 正规化normalized basis 正规化基normalized function 规范化函数normalized variate 正规化变量normalized vector 正规化向量normalizer 正规化子normalizing factor 正则化因数normed algebra 赋范代数normed linear space 赋范线性空间normed space 赋范线性空间northwest corner rule 北午角规则notation 记法notation free from bracket 无括号记号notation of backus 巴科斯记号notion 概念nought 零nowhere convergent sequence 无处收敛序列nowhere convergent series 无处收敛级数nowhere dense 无处稠密的nowhere dense set 无处稠密点集nowhere dense subset 无处稠密子集nuclear operator 核算子nuclear space 核空间nucleus of an integral equation 积分方程的核null 零null class 零类null divisor 零因子null ellipse 零椭圆null function 零函数null hypothesis 虚假设null line 零线null matrix 零矩阵null method 衡消法null plane 零面null point 零点null ray 零射线null relation 零关系null representation 零表示null sequence 零序列null set 空集null solution 零解null system 零系null transformation 零变换null vector 零向量nullity 退化阶数nullring 零环nullspace 零空间number 数number defined by cut 切断数number defined by the dedekind cut 切断数number field 数域number interval 数区间number line 数值轴number notation 数记法number of partitions 划分数number of repetitions 重复数number of replications 重复数number of sheets 叶数number sequence 数列number set 数集number system 数系number theory 数论number variable 数变量numeration 计算numerator 分子numeric representation of information 信息的数值表示numerical 数值的numerical algorithm 数值算法numerical axis 数值轴numerical calculation 数值计算numerical coding 数值编码numerical coefficient 数字系数numerical computation 数值计算numerical constant 数值常数numerical data 数值数据numerical determinant 数字行列式numerical differentiation 数值微分numerical equality 数值等式numerical equation 数字方程numerical error 数值误差numerical example 数值例numerical function 数值函数numerical inequality 数值不等式numerical integration 数值积分法numerical invariant 不变数numerical mathematics 数值数学numerical method 数值法numerical model 数值模型numerical operator 数字算子numerical quadrature 数值积分法numerical series 数值级数numerical solution 数值解numerical solution of linear equations 线性方程组的数值解法numerical stability 数值稳定性numerical table 数表numerical value 数值numerical value equation 数值方程nutation 章动。
数学常用词汇中英文对照
数学常用词汇中英文对照数学常用词汇中英文对照代数部分1、有关基本运算：add，plus加subtract减difference差multiply,times乘product积divide除divisible可被整除的dividevenly被整除dividend被除数divisor因子，除数quotient商remainder余数factorial阶乘power乘方radicalsign,rootsign根号roundto四舍五入tothenearest四舍五入2.有关集合union并集proper subset真子集solution set解集3.有关代数式、方程和不等式algebraic term代数项like terms,similar terms同类项numerical coefficient数字系数literal coefficient字母系数inequality不等式triangle inequality三角不等式range值域original equation原方程equivalent equation同解方程等价方程linear equation线性方程4.有关分数和小数proper fraction真分数improper fraction假分数数学常用词汇中英文对照mixed number带分数numerator分子denominator分母decimal fraction纯小数infinite decimal无穷小数recurring decimal循环小数tenthsunit十分位5.基本数学概念arithmetic mean算术平均值weighted average加权平均值geometric mean几何平均数exponent指数，幂base乘幂的底数,底边cube立方数，xxsquare rootxxcube rootxxdigit数字constant常数variable变量inversefunction反函数linear一次的，线性的factorization因式分解absolute value绝对值，round off四舍五入6.有关数论natural number自然数positive number正数negative number负数odd integer,odd number奇数even integer,even number偶数integer,whole number整数positive whole number正整数negative whole number负整数consecutive number连续整数rea lnumber,rational number实数,有理数irrational(number)无理数inverse倒数prime number质数reciprocal倒数multiple倍数(prime)factor(质)因子ordinaryscale,decimalscale十进制nonnegative非负的tens十位units个位mode众数median中数7.数列arithmetic progression(sequence)等差数列geometric progression(sequence)等比数列8.其它approximate近似(anti)clockwise(逆)顺时针方向cardinal基数ordinal序数directproportion正比distinct不同的estimation估计，近似parenthes括号proportion比例permutation排列table表格trigonometric function三角函数unit单位,位几何部分1.所有的角alternate angle内错角corresponding angle同位角vertical angle对顶角数学常用词汇中英文对照central angle圆心角interior angle内角exterior angle外角supplement aryangles补角adjacent angle邻角acute angle锐角obtuse angle钝角right angle直角round angle周角straight angle平角included angle夹角2.所有的三角形equilateral triangle等边三角形scalene triangle不等边三角形isosceles triangle等腰三角形right trianglexxoblique斜三角形inscribed triangle内接三角形3.有关收敛的平面图形，除三角形外semicircle半圆concentric circles同心圆quadrilateral四边形pentagon五边形hexagon六边形heptagon七边形octagon八边形nonagonxx形decagon十边形polygon多边形parallelogram平行四边形equilateral等边形plane平面square正方形，平方rectangle长方形regular polygon正多边形rhombus菱形trapezoid梯形4.其它平面图形arc弧line,straight line直线line segment线段parallel lines平行线segment of a circle弧形5.有关立体图形cubexx，立方数rectangular solid长方体regular solid/regular polyhedron正多面体circular cylinder圆柱体cone圆锥sphere球体solid立体的6.有关图形上的附属物altitude高depthxxside边长circumference,perimeter周长radian弧度surface area表面积volume体积armxx的股cros ssection横截面center of acircle圆心chord弦radius半径angle bisector角平分线diagonal对角线diameter直径edge棱face of a solid立体的面hypotenuse斜边included side夹边leg三角形的直角边medianofatriangle三角形的中线base底边，底数oppositexx中的对边midpoint中点endpoint端点vertex(复数形式vertices)顶点tangent切线的transversal截线intercept截距数学常用词汇中英文对照7.有关坐标coordinate system坐标系rectangular coordinate直角坐标系origin原点abscissa横坐标ordinate纵坐标numberline数轴quadrant象限slope斜率8.其它plane geometry平面几何trigonometry三角学bisect平分circumscribe外切inscribe内切intersect相交perpendicular垂直pythagorean theorem勾股定理congruent全等的multilateral多边的1、单位类cent美分penny一美分硬币nickel5美分硬币dime一角硬币dozen打（12个）score廿(20个)Centigrade摄氏Fahrenheitxxquart夸脱gallon加仑(1gallon=4quart)yard码meter米micron微米inch英寸foot英尺minute分(角度的度量单位，60分=1度)squaremeasure平方单位制cubicmeter立方米pint品脱(干量或液量的单位)2.有关文字叙述题，主要是有关商业intercalaryyear(leapyear)闰年(366天) depreciation折旧down payment直接付款discount打折margin利润profit利润interest利息simple interest单利dividend红利decrease to减少到decrease by减少了increase to增加到increase by增加了denote表示list price标价markup涨价per capita每人ratio比率retail price零售价tie打平集合与简易逻辑集合（集）set非负整数集thesetofallnon-negativeintegers自然数集the set of all natural numbers正整数集the set of all positive integers整数集the set of all integers有理数集the set of all rational numbers实数集the set of all real numbers元素element属于belong to不属于not belong to有限集finite set无限集infinite set空集empty set包含inclusion, include包含于lie in子集subset数学常用词汇中英文对照真子集proper subset 交集intersection 并集union偶数集the set of all even numbers奇数集the set of all odd numbers含绝对值的不等式inequality with absolute value一元二次不等式one-variable quadratic inequality逻辑logic逻辑联结词logic connective或or且and非not真true假false真值表truth table原命题original proposition逆命题converse proposition否命题negative proposition逆否命题converse-negative proposition充分条件sufficient condition必要条件necessary condition充要条件sufficient and necessary condition……的充要条件是………if and only if…函数函数function自变量argument定义域domain值域range区间interval闭区间closed interval开区间open interval函数的图象graph of function 映射mapping象image原象inverse image单调monotone增函数increasing function减函数decreasing function单调区间monotone interval 反函数inverse function指数exponentn次方根n th root根式radical根指数radical exponent被开方数radicand指数函数exponential function对数logarithm自然对数natural logarithm对数函数logarithmic function数列数列sequence of number项term通项公式the formula of general term 有穷数列finite sequenceof number 无穷数列infinite sequence of number 递推公式recurrence formula等差数列arithmeticprogression，arithmetic series等差中项arithmetic mean等比数列geometricprogression，geometric series等比中项geometric mean三角函数三角函数trigonometric function始边initial side终边terminal side正角positive angle负角negative angle零角zero angle象限角quadrant angle弧度radian弧度制radian measure数学常用词汇中英文对照角度制degree measure正弦sinexxcosine正切tangent余切cotangent正割secant余割cosecant诱导公式induction formula正弦曲线sine curvexx曲线cosine curve最大值maximum最小值minimum周期period最小正周期minimal positive period周期函数periodic function振幅amplitude of vibration频率frequency相位phase初相initial phase反正弦arc sine反xxarc cosine反正切arc tangent平面向量有向线段directed line segment数量scalar quantity向量vector零向量zero vector相等向量equal vector共线向量collinear vectors平行向量parallel vectors向量的数乘multiplicationofvectorbyscalar 单位向量unit vector基底base基向量basevectors平移translation数量积innerproduct不等式算术平均数arithmetic mean几何平均数geometric mean综合法method of synthesis分析法method of analysis直线倾斜角angle of inclination斜率gradient点斜式point slope form截距intercept斜截式gradient intercept form两点式two-point form一般式general form夹角included angle线性规划linear programming约束条件constraint condition目标函数objective function可行域feasible region最优解optimal solution数学常用词汇中英文对照圆锥曲线曲线curve。
中小学数学代数几何常用概念中英文数学对照
中英文数学对照代数Algebra正数positive负数negative零zero数字digit/number整数integer分数fractions假分数proper fraction带分数mixture fractions/improper fraction 分子numerator分母denominator小数decimal百分数percentage/percent数字1one2two3three4four5five6six7seven8eight9nine10ten11eleven12twelve13thirteen14fourteen15fifteen16sixteen17seventeen18eighteen19nineteen20twenty100hundred1000thousand10000million1000000000billion奇数odd偶数even质数prime合数composite最大公约数maximum common factor 最小公倍数least common multiples加法addition减法subtraction乘法multiple除法division被除数dividend除数divisor商quotient和sum乘积product因数factor结合律association交换律communication分配律distribution因式分解factoring因子factors简化simplify等式/方程equation不等式inequation倒数receiption符号symbol约等于/近似approximately估算estimation实数real numbers有理数rational numbers无理数irrational numbers一元二次方程linear equations二元一次方程quadratic equations绝对值方程absolute equations方程的根root方程组system of equations变量variable常量constant多项式polynomial单项式monomial反比例函数inverse proportional function 正比例函数proportional function指数函数exponential function对数函数logarithmic function三角函数trigonometric function消元法elimination代入法substitute集合set并集union set交集intersection set空集empty set坐标轴axis横轴x-axis纵轴y-axis截距x,y-intercepts象限quadrant抛物线parabola顶点vertex准线directrix对称轴symmetric axis主轴Major axis副轴Minor axis水平对称轴horizontal symmetric axis垂直对称轴vertical symmetric axis数列sequence/series等差数列arithmetic sequence等比数列geometric sequence几何geometric点point线line面plane曲线curve多边形polygon平行四边形parallelogram菱形rhombus长方形rectangular正方形square梯形trapezoid三角形triangle斜三角形skew triangle正三角形right triangle等腰三角形isosceles triangle锐角三角形acute triangle直角三角形right triangle钝角三角形obtuse triangle凹多边形concave polygon凸多边形convex polygon对边opposite site邻边adjacent side斜边hypotenuse side对角线diagonal髙height底面base中线midline垂直平分线perpendicular bisector 垂直perpendicular平分bisector重心gravity垂心orthocenter角angle锐角acute angle直角right angle钝角obtuse angle圆circle半径radius直径diameter弦chord弧arc优弧major arc劣弧minor arc切线tangent line割线secant line长方形rectangle正方形square边side椭圆ellipse抛物线parabola双曲线hyperbola相交intersection相切tangent正交orthogonal立体图形solid立方体cube三棱柱triangular prism棱柱prism棱锥pyramid圆锥cone圆柱cylinder球sphere规则多边体不规则多边体勾股定理Pythagorean theorem 边长side length面积area周长perimeter/circumference 体积volume表面积surface area侧面积lateral area底面积base area斜边slant立方体的高altitude位似变化transformation位移translation水平平移horizontal shift垂直平移vertical shift对称reflection放大/缩小dilation strectch/compress 旋转rotation公式formula定理theorem矩阵matrix行列式determinant行row列column排列permutation组合combination概率probability极限limit导数derivative微分differential积分integral平均数average/mean方差variance标准差standard variance中位数median众数mode。
数学词汇中英文对照?（初中部分）图形与几何
数学词汇中英文对照（初中部分）图形与几何展开全文数学词汇中英文对照（初中部分）四、图形与几何几何学：geometry圆：circle圆心：the center of a circle半径：radius(pl.radii)直径：diameter圆周长：circumference of a circle圆周率：circumference ratio弧：arc圆心角：central angle圆的面积：area of a circle扇形：sector扇形统计图：sector diagram圆环：circular ring直线：line公理：axiom相交：intersection交点：intersection point射线：ray线段：line segment端点：end point大写字母：capital letter小写字母：lower-case letter延长线：extension line截取：intercept距离：distance角：angle边：side, edge始边：initial side终边：terminal side箭头：arrow体：solid长方体：cuboid面：surface(face)棱：edge长方形：rectangle平面：plane点：point几何图形：geometry figure平面图形：plane figure立体图形：solid figure平角：straight angle周角：round angle三角尺、三角板：triangular ruler量角器：protractor角平分线：angular bisector直角：right angle锐角：acute angle钝角：obtuse angle互为余角：complementary angle互为补角：supplementary angle度（数）：degree对顶角：vertical angles邻补角：adjacent angles on a straight line垂直（的）：perpendicular垂直于：be perpendicular to垂线：perpendicular line垂足：foot of perpendicular同位角：corresponding angles内错角：alternate interior angles同旁内角：interior angles on the same side 平行（的）：parallel平行线：parallel lines平行于：be parallel to定义：definition圆规：compasses中点：center (midpoint)直尺：ruler命题：proposition真命题：true proposition假命题：false proposition题设：hypothesis结论：conclusion定理：theorem推论：corollary, inference, deduction证明：proof欧几里得：Euclid三角形：triangle内角：interior angle中线：median高：altitude, height不等边三角形：scalene triangle等腰三角形：isosceles triangle等边三角形：equilateral triangle底边：base顶角：vertex angle底角：base angle锐角三角形：acute triangle直角三角形：right angled triangle 钝角三角形：obtuse triangle斜边：hypotenuse外角：exterior angle全等形：congruent figures对应边：corresponding sides对应角：corresponding angles全等三角形：congruent triangles 全等于：be congruent to逆命题：converse proposition逆定理：converse theorem垂直平分线：perpendicular bisector 对称点：symmetrical points对称轴：axis of symmetry轴对称：line symmetry四边形：quadrilateral凸四边形：convex quadrilateral对角线：diagonal多边形：polygon五边形：pentagon六边形：hexagon七边形：heptagon八边形：octagon九边形：nonagon十边形：decagon平行四边形：parallelogram矩形：rectangle菱形：rhombus正方形：square对称中心：centre of symmetry中心对称：central symmetry梯形：trapezium, trapezoid等腰梯形：isosceles trapezium面积：area比例线段：proportional line segments 黄金分割：golden cut相似形：similar figures相似三角形：similar triangles相似于：be similar to相似比：similarity ratio集合：set原点：origin长度：length元素：element属于：belong to不属于：not belong to有限集：finite set无限集：infinite set空集：empty set包含：contain包含于：lie in子集：subset真子集：proper subset补集（余集）：complementary set全集：universal set交集：intersection并集：union偶数集：a set of all the even numbers奇数集：a set of all the odd numbers逻辑：logic逻辑联结词：logical connective或：or且：and非：not真：true假：false真值表：truth table原命题：original proposition逆命题：inverse proposition否命题：negative proposition逆否命题：inverse and negative proposition 充分条件：sufficient condition必要条件：necessary condition充要条件：sufficient and necessary condition ……的充要条件是……：…if and only if …指数函数：exponential function对数：logarithm常用对数：common logarithm自然对数：natural logarithm对数函数：logarithmic function数列：sequence of numbers项：term通项公式：the formula of general term有穷数列：finite sequence of numbers无穷数列：infinite sequence of numbers递推公式：recurrence formula等差数列：arithmetic progression公差：common difference等差中项：arithmetic mean等比数列：geometric progression 公比：common ratio等比中项：geometric mean三角函数：trigonometric function 始边：initial side终边：terminal side正角：positive angle负角：negative angle零角：zero angle象限角：quadrant angle弧度：radian弧度制：radian measure角度制：degree measure正弦：sine余弦：cosine正切：tangent正割：secant余割：cosecant诱导公式：induction formula正弦曲线：sine curve余弦曲线：cosine curve最大值：maximum最小值：minimum周期：period最小正周期：minimal positive period 周期函数：periodic function振幅：amplitude of vibration频率：frequency初相：initial phase反正弦：arc sine反余弦：arc cosine反正切：arc tangent有向线段：directed line segment数量：vector零向量：zero vector相等向量：equal vectors共线向量：collinear vectors平行向量：parallel vectors实数与向量的积：multiplication of vector by scalar 单位向量：unit vector基底：base基向量：base vectors平移：translation正弦定理：sine theorem余弦定理：cosine theorem。
数学词汇中英文对照(初中部分)函数与分析
数学词汇中英文对照（初中部分）函数与分析函数 - function自变量 - independent variable因变量 - dependent variable定义域 - domain值域 - range平移 - translation对称 - symmetry增减性 - increasing and decreasing奇函数 - odd function偶函数 - even function单调性 - monotonicity极值 - extremum最大值 - maximum最小值 - minimum零点 - root连续 - continuous导数 - derivative微分 - differentiation相切 - tangency极限 - limit趋向 - approach无穷大 - infinity连续性 - continuity 导数 - derivative子集 - subset可导 - differentiable 几何 - geometry恒等式 - identity等价 - equivalent趋向 - approach分数 - fraction根号 - square root乘方 - exponentiation 十进制 - decimal圆 - circle直线 - line全等 - congruent合 - union交 - intersection差 - difference因式 - factor分母 - denominator系统 - system解方程 - solve equation化简 - simplify平行四边形 - parallelogram 三角形 - triangle直角 - right angle等腰 - isosceles锐角 - acute angle钝角 - obtuse angle扇形 - sector弦 - chord切线 - tangent余弦 - cosine正弦 - sine正切 - tangent余切 - cotangent三角函数 - trigonometric functions 平均值 - mean中位数 - median众数 - mode均值 - average标准差 - standard deviation统计 - statistics折线图 - line graph柱状图 - bar graph饼图 - pie chart概率 - probability样本 - sample总体 - population相似 - similar透视 - perspective角度 - angle母线 - axis原点 - origin顶点 - vertex周长 - perimeter面积 - area体积 - volume计算 - calculation乘法 - multiplication 除法 - division加法 - addition减法 - subtraction。
美国数学大联盟常用英文词汇
美国数学大联盟常用英文词汇一、基础数学词汇1. Arithmetic 算术2. Algebra 代数3. Geometry 几何4. Trigonometry 三角学5. Calculus 微积分6. Statistics 统计学7. Probability 概率论8. Combinatorics 组合数学9. Number theory 数论10. Set theory 集合论二、代数词汇1. Variable 变量2. Equation 方程3. Inequality 不等式4. Function 函数5. Graph 图像6. Polynomial 多项式7. Factorization 因式分解8. Exponent 指数9. Logarithm 对数10. Matrix 矩阵三、几何词汇1. Point 点2. Line 线3. Plane 平面4. Angle 角度5. Triangle 三角形6. Quadrilateral 四边形7. Circle 圆8. Perimeter 周长9. Area 面积10. Volume 体积四、三角学词汇1. Sine 正弦2. Cosine 余弦3. Tangent 正切4. Cosecant 余割5. Secant 正割6. Cotangent 余切7. Arcsine 反正弦8. Arccosine 反余弦9. Arctangent 反正切10. Radian 弧度五、微积分词汇1. Derivative 导数2. Integral 积分3. Limit 极限4. Series 级数5. Sequence 数列6. Differentiation 微分7. Integration 积分8. Differential equation 微分方程9. Taylor series 泰勒级数10. Fourier series 傅里叶级数六、统计学词汇1. Data 数据2. Sample 样本3. Population 总体4. Mean 平均值5. Median 中位数6. Mode 众数7. Standard deviation 标准差8. Variance 方差9. Probability distribution 概率分布10. Hypothesis testing 假设检验七、概率论词汇1. Event 事件2. Probability 概率3. Random variable 随机变量4. Probability space 概率空间5. Conditional probability 条件概率6. Bayes' theorem 贝叶斯定理7. Independence 独立性8. Law of large numbers 大数定律9. Central limit theorem 中心极限定理10. Random walk 随机游走八、组合数学词汇1. Permutation 排列2. Combination 组合3. Binomial coefficient 二项式系数4. Pascal's triangle 帕斯卡三角形5. Catalan number 卡塔兰数6. Fibonacci sequence 斐波那契数列7. Partition 分割8. Graph theory 图论9. Ramsey theory 拉姆齐理论10. Combinatorial design 组合设计九、数论词汇1. Prime number 质数2. Composite number 合数3. Divisor 因数4. GCD 最大公约数5. LCM 最小公倍数6. Modular arithmetic 模运算7. Fermat's little theorem 费马小定理8. Euler's theorem 欧拉定理9. Chinese remainder theorem 中国剩余定理10. RSA encryption RSA加密十、集合论词汇1. Set 集合2. Element 元素3. Union 并集4. Intersection 交集5. Complement 补集6. Power set 幂集7. Cartesian product 笛卡尔积8. Function 函数9. Relation 关系10. Equivalence relation 等价关系美国数学大联盟常用英文词汇一、基础数学词汇1. Arithmetic 算术2. Algebra 代数3. Geometry 几何4. Trigonometry 三角学5. Calculus 微积分6. Statistics 统计学7. Probability 概率论8. Combinatorics 组合数学9. Number theory 数论10. Set theory 集合论二、代数词汇1. Variable 变量2. Equation 方程3. Inequality 不等式4. Function 函数5. Graph 图像6. Polynomial 多项式7. Factorization 因式分解8. Exponent 指数9. Logarithm 对数10. Matrix 矩阵三、几何词汇1. Point 点2. Line 线3. Plane 平面4. Angle 角度5. Triangle 三角形6. Quadrilateral 四边形7. Circle 圆8. Perimeter 周长9. Area 面积10. Volume 体积四、三角学词汇1. Sine 正弦2. Cosine 余弦3. Tangent 正切4. Cosecant 余割5. Secant 正割6. Cotangent 余切7. Arcsine 反正弦8. Arccosine 反余弦9. Arctangent 反正切10. Radian 弧度五、微积分词汇1. Derivative 导数2. Integral 积分3. Limit 极限4. Series 级数5. Sequence 数列6. Differentiation 微分7. Integration 积分8. Differential equation 微分方程9. Taylor series 泰勒级数10. Fourier series 傅里叶级数六、统计学词汇1. Data 数据2. Sample 样本3. Population 总体4. Mean 平均值5. Median 中位数6. Mode 众数7. Standard deviation 标准差8. Variance 方差9. Probability distribution 概率分布10. Hypothesis testing 假设检验七、概率论词汇1. Event 事件2. Probability 概率3. Random variable 随机变量4. Probability space 概率空间5. Conditional probability 条件概率6. Bayes' theorem 贝叶斯定理7. Independence 独立性8. Law of large numbers 大数定律9. Central limit theorem 中心极限定理10. Random walk 随机游走八、组合数学词汇1. Permutation 排列2. Combination 组合3. Binomial coefficient 二项式系数4. Pascal's triangle 帕斯卡三角形5. Catalan number 卡塔兰数6. Fibonacci sequence 斐波那契数列7. Partition 分割8. Graph theory 图论9. Ramsey theory 拉姆齐理论10. Combinatorial design 组合设计九、数论词汇1. Prime number 质数2. Composite number 合数3. Divisor 因数4. GCD 最大公约数5. LCM 最小公倍数6. Modular arithmetic 模运算7. Fermat's little theorem 费马小定理8. Euler's theorem 欧拉定理9. Chinese remainder theorem 中国剩余定理10. RSA encryption RSA加密十、集合论词汇1. Set 集合2. Element 元素3. Union 并集4. Intersection 交集5. Complement 补集6. Power set 幂集7. Cartesian product 笛卡尔积8. Function 函数9. Relation 关系10. Equivalence relation 等价关系十一、数学竞赛相关词汇1. Contest 竞赛2. Problem 问题3. Solution 解答4. Strategy 策略5. Practice 练习6. Challenge 挑战7. Competition 比赛8. Award 奖项9. Medal 奖牌10. Rank 排名十二、数学教育相关词汇1. Curriculum 课程2. Lesson 课3. Exercise 练习4. Homework 作业5. Test 测试6. Assessment 评估7. Instruction 指导8. Resource 资源9. Tool 工具10. Technique 技巧十三、数学研究相关词汇1. Research 研究2. Theory 理论3. Hypothesis 假设4. Proof 证明5. Result 结果6. Experiment 实验7. Observation 观察8. Analysis 分析9. Conclusion 结论10. Publication 发表十四、数学应用相关词汇1. Application 应用2. Model 模型3. Algorithm 算法4. Simulation 模拟5. Optimization 优化6. Data 数据7. Analysis 分析8. Solution 解答9. Design 设计10. Evaluation 评估十五、数学文化相关词汇1. History 历史2. Development 发展3. Influence 影响4. Mathematician 数学家5. Theory 理论6. Concept 概念7. Idea 思想8. Innovation 创新9. Tradition 传统10. Legacy 遗产通过掌握这些常用英文词汇，你将能够更好地理解和参与美国数学大联盟的数学竞赛、教育、研究以及应用等领域的讨论和交流。
数学中英文词汇对照表
数学中英文词汇对照表第一篇：数学中英文词汇对照表集合 set非负整数集the set of all non-negative integers 自然数集 the set of all natural numbers 整数集 the set of all positive integers 有理数集 the set of all rational numbers 实数集the set of all real numbers 元素 element 属于 belong to不属于 not belong to 有限集 finite set 无限集 infinite set 空集empty set 包含 inclusion ,include 包含于 lie in 子集 subset 真子集proper subset 补集（余集）complementary set 全集 universe 交集 intersection 偶数集 the set of all even numbers 奇数集 the set of all odd numbers 含绝对值的不等式inequality with absolute value 一元二次不等式 one-variable quadratic inequality 逻辑 logic 逻辑联结词 logical connective 或 or 且 and 非 not 真 true 假 false 真值表truth table 原命题original proposition 逆命题converse proposition 否命题negative proposition 逆否命题converse-negative proposition 充分条件sufficient condition 必要条件necessary condition ……的充要条件是………if and only if… 函数function 自变量argument 定义域domain 值域range 区间interval 闭区间closed interval 开区间open interval 函数的图像graph of function 映射mapping 象image 原象inverse image 单调monotone 增函数increasing function 减函数 decreasing function 单调区间 monotone interval 反函数inverse function 指数exponent N次方根nth root 根式radical 根指数radical exponent 被开方数radicand 指数函数exponential function 对数logarithm 常用对数common logarithm 自然对数natural logarithm 对数函数logarithmic function 数列sequence of number 项term 通项公式the formula of general term 有穷数列finite sequence of number 无穷数列infinitesequence of number 递推公式recurrence formula 等差数列arithmetic progression 公差arithmetic series 等差中项common difference 等比中项arithmetic mean 等比数列geometric progression, geometric series 公比common ratio 等比中项geometric mean 三角函数 trigonometric function 始边 initial side 终边 terminal side 正角 positive angle 负角 negative angle 零角zero angel 象限角quadrant angle 弧度radian 弧度制radian measure 角度制degree measure 正弦sine 余弦cosine 正切tangent 余切cotangent 正割secant 余割cosecant 诱导公式induction formula 正弦曲线sine curve 余弦曲线cosine curve 最大值maximum 最小值minimum 周期period 最小正周期minimal positive period 周期函数periodic function 振幅amplitude of vibration 频率frequency 相位 phase 初相 initial phase 反正弦 arc sine 反余弦arc cosine 反正切arc tangent 有向线段directed line segment 向量 vector零向量zero vector 单位向量unit vector 平行向量parallel vectors 相等向量 equal vectors 共线向量 collinear vectors 实数与向量的积multiplication of vector by scalar 基底base 数量积translation 正弦定理 inner product 余弦定理 sine theorem 算术平均数arithmetic mean 几何平均数method of compare 比较法method of compare 综合法 method of synthesis 分析法 method of analysis 倾斜角 gradient 斜率 point slope form 点斜式 gradient intercept form 截距general form 斜截式included angle 两点式two-point form 一般式 general form 夹角included angle 线性规划linear programming 约束条件constraint condition 目标函数objective function 可行域 feasible region 最优解 optimal solution 曲线curve 坐标法method of coordinate 解析几何analytic geometry 笛卡儿 Descartes 标准方程 standard equation 一般方程general equation 参数方程 parameter equation 参数 parameter 圆锥曲线 point conic 椭圆 ellipse 焦点 focus, focal points 焦距 focallength 长轴 major axis 短轴 minor axis 离心率 eccentricity 双曲线hyperbola 实轴real axis 虚轴imaginary axis 渐近线asymptote 抛物线parabola 准线 directrix 直线 line 平面 plane 几何体 geometric solid 平面图形plane figure 立体图形slid figure 相交直线intersecting lines 平行直线 parallel lines 异面直线 skew lines 垂线perpendicular line 垂足foot of a oblique line 垂线段perpendicular line segment 公垂线 common perpendicular line 公垂线段 common perpendicular segment 垂面 perpendicular plane 射影 projection 斜线 oblique line 斜足foot of a oblique line 斜线段 oblique line segment 半平面 semi-plane 二面角 dihedral angle 平面角 plane angle 直二面角 right dihedral angle 棱柱 prism 底面base 顶点 vertex 面 face 棱 edge 侧面 lateral face 侧棱 lateral edge 斜棱柱 oblique prism 直棱柱 right prism 正棱柱 regular prism 平行六面体 parallelepiped 长方体 rectangular prism 正方体 cube 棱锥pyramid 正棱锥regular pyramid 多面体polyhedron 凸多面体convex polyhedron 正多面体regular polyhedron 简单多面体simple polyhedron 球 solid sphere, spheroid 球心 center of a solid sphere 球面 sphere 分类计数原理 classified enumeration principle 分步计数原理 fractional enumeration principle 排列 arrangement, permutation 排列数number of arrangements 全排列total arrangement 阶乘 factorial 组合 combination 组合数 number of combination 二项式定理binomial theorem 二项式系数binomial coefficient 二项式展开式binomial expansion 必然事件certain event 不可能事件 impossible event 随机事件 random event 试验trial 频率frequency 等可能事件equiprobability event 基本事件elementary event 概率 probability 互斥事件 exclusive events 对立事件 complementary events相互独立事件mutually independent events 独立重复试验independent repeated trials 概率 probability 统计 statistics 随机变量 random variable 离散型随机变量discrete random variable 概率分布probability distribution 分布列distribution series 数学期望mathematical expectation 方差variance 标准差standard deviation 抽样方法sampling method 简单随机抽样simple random sampling 系统抽样systematic sampling 总体分布population sampling 估计estimation 正态分布normal distribution 标准正态分布 standard normal distribution 线性回归linear regression 相关 correlation 回归分析 regression analysis 散点图 scatter diagram 回归直线 regression straight line 线性回归分析 liner regression analysis 相关系数 correlation coefficient 假设检验 hypothesis testing 归纳法 induction 数学归纳法 mathematical induction 完全归纳法complete induction 不完全归纳法incomplete induction 极限 limit 无穷大 infinitely great 无穷等比数列 infinite geometric sequence 左极限 left limit 右极限 right limit 连续（的）continuous 连续函数continuous function 导数derivative 可导的differentiable 变化率rate of change 导函数derived function 复合函数 composite function 极大值 maximum value 极小值minimum value 极值extreme value 虚数单位imaginary unit 复数complex number 复数集set of complex numbers 虚数imaginary number 纯虚数 purely imaginary number 复数的代数形式 algebraic form of complex number 实部 real part 虚部imaginary part 复平面complex plane 实轴real axis 虚轴imaginary axis 模modulus 辐角argument 复数的三角形式trigonometric form of complex number 棣莫弗公式De Moivre’s Formula 分式fraction 通分changing fractions to a common denominator 约分 reduction of a fraction 分式方程fractional equation 反比例函数inverse proportional function 双曲线 hyperbola 定理 theorem 平行四边形parallelogram 矩形rectangle 菱形rhombus 正方形square 梯形trapezium 等腰梯形 isosceles trapezium 重心 barycenter 加权平均数weighted average 权weight 中位数median 众数mode 极差range 方差 variance 平面图形 plane figure 展开图 net 体 solid 面surface 线 line 点 point 相交 intersection 交点 point of intersection 中点 center 距离 distance 角 angle 度 degree 角的平分线 angular bisector 余角complementary angle 补角补角supplementary angle第二篇：重要历史词汇中英文对照表重要历史词汇中英文对照表作者：陈亮重要词汇中英文对照表马可·波罗Marco Polo达·迦马Vasco Da Gama麦哲伦Ferdinand Magellan印第安人Indian乔托米开朗琪罗拉菲尔马基雅维利塞万提斯伽利略中世纪哥伦布商业革命殖民主义奴隶贸易文艺复兴人文主义但丁达·芬奇莎士比亚哥白尼宗教改革马丁·路德闵采尔胡格诺派加尔文派亨利八世圈地运动都铎王朝斯图亚特王朝詹姆士一世查理一世英国国教清教徒克伦威尔护国公查理二世詹姆士二世GiottoBuonarroti Michelangelo Raphael Niccolò MachiavelliMiguel de CervantesGalileoMedieval PeriodChristopher Columbus Commercial Revolution colonialismslave trade Renaissance humanismDanteLeonardo da Vinci William Shakespeare Nicolaus Copernicus The Reformation Martin Luther Thomas Müntzer Huguenots CalvinistsHenry Ⅷenclosure movement House of Tudor House of Stuart James ⅠCharles Ⅰthe Anglican Church PuritanOliver Cromwell Lord Protector Charles ⅡJames Ⅱ辉格党托利党光荣革命《权利法案》君主立宪制波旁王朝哈布斯堡王朝重商主义路易十四WhigToryGlorious RevolutionBill of Rights Constitutional Monarchy House of Bourbon House of Habsburg mercantilismLouis ⅩⅣ彼得大帝腓特烈二世凡尔赛宫约瑟夫二世开明专制英国东印度公司《航海条例》七年战争启蒙运动霍布斯洛克伏尔泰孟德斯鸠卢梭狄德罗百科全书派第三等级路易十六三级会议国民议会制宪议会巴士底监狱法国大革命《人权宣言》、Peter the GreatFrederick ⅡThe Palace of VersaillesJoseph Ⅱenlightened despotismBritish East India Company Navigation ActsSeven Years’ WarEnlightenmentThomas HobbesJohn LockeVoltaireCharles Louis de Secondat Montesquieu Jean Jacques RousseauDenis DiderotEncyclopediststhe Third EstateLouis ⅩⅥthe Estate-GeneralNational AssemblyConstituent Assemblythe BastilleFrench RevolutionDeclaration of the Rights of Man andof the Citizen雅各宾派the Jacobins罗伯斯庇尔Maximilien de Robespierre 热月政变督政府雾月政变拿破仑执政府法兰西第一帝国《拿破仑法典》滑铁卢战役杰斐逊富兰克林《常识》大陆会议乔治·华盛顿《独立宣言》杜桑·卢维杜尔伊达尔哥玻利瓦尔圣马丁幕府武士锁国令丰臣秀吉巴布尔莫卧儿帝国阿克巴工业革命飞梭珍妮纺纱机骡机水力织布机瓦特富尔顿史蒂芬孙蒸汽时代亚当·斯密Thermidorian ReactionDirectory GovernmentCoup d' Etat of BrumaireNapoleon Bonapartethe Consulatethe First French Empirethe Code NapoleonBattle of WaterlooThomas JeffersonBenjamin FranklinCommon SenseThe Continental CongressGeorge WashingtonDeclaration of Independence Toussaint-Louverture Miguel Hidalgo y CostillaSimón BolívarJosé de San MartínShogunatesamuraiSedusion OrdersToyotomi Hideyoshi Baberthe Mughal Empire AkbarIndustrial Revolution flying-shuttle spinning-jenny spinning-mulewater-frameJames WattRobert Fulton George Stephenson the Age of Steam Adam Smith《国富论》The Wealth of Nations 维也纳会议the Congress of Vienna 维也纳体系Vienna System神圣同盟Holy Alliance四国同盟（1813）Quadruple Alliance卢德运动Luddite movement马克思Karl Marx恩格斯Friedrich Engels《共产党宣言》The Communist Manifesto 共产主义者同盟科学社会主义马克思主义国际工人协会第一国际巴黎公社西进运动自由州蓄奴州《宅地法》林肯《解放黑人奴隶宣言》美国内战俾斯麦铁血政策明治维新克里米亚战争奥斯曼帝国巴布教西门子东宫十月革命红军战时共产主义新经济政策非暴力不合作运动（文明不服从运动）甘地Communist LeagueScientific SocialismMarxismInternational Working-men's Association First InternationalCommune of ParisWestward MovementFree StateSlave StateHomestead ActAbraham LincolnEmancipation Proclamation Civil War(U.S.) Otto von BismarchIron and BloodMeiji RestorationCrimean Warthe Ottoman EmpireBābismErnst Werner von Siemens Winter Palace October RevolutionRed ArmyWartime CommunismNew Economic Policycivil disobedienceA.Kemal AtatürkM.K.Gandhi印度国民大会党苏联五年计划巴黎和会三巨头威尔逊十四点Indian National CongressUnion of Socialist Soviet Republics (USSR)J.StalinFive-Year PlanParis Peace ConferenceBig ThreeWoodrow WilsonThe Fourteen Points《凡尔赛和约》国际联盟国际联盟盟约华盛顿会议英联邦自治领法西斯党马克道威斯计划《洛迦诺公约》大危机新政富兰克林·罗斯福《国家工业复兴法》德国民族社会主义纳粹希特勒国会纵火案西班牙内战国际纵队美国的中立法《反共产国际协定》轴心国绥靖政策慕尼黑协定慕尼黑阴谋《苏德互不侵犯条约》闪击战东方战线马奇诺防线自由法国戴高乐不列颠之战Treaty of VersaillesThe League of NationsCovenant of the League of NationsWashington Conferencethe British Commonwealth of Nations Self Governing DominionFascist PartyMarkDawes PlanLocarno PactThe Great DepressionNew DealF.D.RooseveltThe National Industrial Recovery Acts Nation Socialist Workers’PartyNaziAdolf HitlerReichstag FireSpanish Civil WarInternational BrigadesAmerican Neutrality ActsAnti-Comintern PactAxis PowersPolicy of AppeasementThe Munich AgreementMunich schemeTreaty of Non-AggressionBetween Soviet Union and GermanyBlitzkriegEastern FrontMaginot LineFree FrenchCharles de GaulleBattle of Britain丘吉尔Winston Churchill珍珠港Pearl Harbour《大西洋宪章》Atlantic Charter《联合国家宣言》Declaration by Union Nations 中途岛Midway Island诺曼底Normandy开罗会议Cairo Conference《开罗宣言》Cairo Declaration德黑兰会议雅尔塔会议《波茨坦公告》杜鲁门《联合国宪章》联合国大会安理会冷战马歇尔计划北大西洋公约组织华沙条约组织德意志联邦共和国德意志民主共和国柏林墙越南战争朝鲜战争欧洲共同体欧洲煤钢联营欧洲经济共同体欧洲原子能联营马丁·路德·金民权运动越南民主共和国古巴导弹危机中东战争Teheran ConferenceYalta ConferenceThe Potsdam ProclamationHarry S.TrumanCharter of the United NationsThe General Assembly of the United NationsThe Security CouncilCold WarThe Marshall PlanThe North Atlantic TreatyOrganization(NATO)The Warsaw Pact OrganizationGerman Federal RepublicGerman Democratic RepublicBerlin WallVietnam WarKorean WarEuropean CommunitiesEuropean Coal and Steel Community European Economic CommunityEuropean Atomic Energy Community Martin Luther King, Jr.Civil Rights MovementThe Democratic Republic of Vietnam Cuban Missile CrisisMiddle East War尼赫鲁J.Nehru巴勒斯坦Palestine自由军官组织Free Officer's Organization亚非会议The Afro-Asian Conference不结盟运动Non-Aligned Movement第三世界the Third World纳米比亚Namibia77国集团Group of 77石油输出国组织Organization of Petroleum Exporting 戈尔巴乔夫白俄罗斯俄罗斯联邦独立国家联合体欧洲联盟霸权主义《全面禁止核试验条约》经济全球化亚太经济合作组织知识经济可持续发展存在主义汤因比经济学凯恩斯未来学萧伯纳海明威毕加索爵士乐摇滚乐好莱坞卓别林Countries(OPEC)GorbachevByelorussiaThe Russian Federation Commonwealth of Independent States (CIS)European UnionhegemonismComprehensiveNuclear-Test-Ban Treatyeconomic globalizationAsia-Pacific Economic Cooperation (APEC)knowledge economysustainable development existentialismA.J.T oynbeeeconomicsJ.M.KeynesfuturologyG.B.ShawE.HemingwayP.Picassojazzrock and rollHollywoodC.Chaplin第三篇：管理学—应用词汇中英文对照表蔚海蓝天管理学词汇中英文对照Accountability 责任感Achievement-oriented leadership 成就取向型领导Activity ratio 活动比率Adaptive organization(horizontal corporation)自适应组织Administrative management 行政管理Affiliation needs 归属的需要Aggregate planning 综合计划Alternative courses of action 可供选择的行动Artifacts 人工环境Assessment center 评价中心Assets 资产Attitudes 态度Authority 职权Autonomy 自治Balance sheet 资产负债表BCG matrix 波士顿咨询集团矩阵Behavior modification 行为修正Behavioral approach 行为法Behavioral decision model 行为决策模型Boundary-spanning roles 跨界角色Bounded rationality 有限理性Brainstorming 头脑风暴法Breakeven analysis 头脑风暴法Budgets 预算Bureaucratic control 官僚控制Bureaucratic management 官僚管理Business ethics 商业道德Business portfolio matrix 商业资产组合矩阵 Business strategy 商业策略Cash cows 金钱牛Chain of command 指挥链Changing 变革Charismatic authority 魅力权威模式Classical perspective 古典管理理论Closed system 封闭系统Code of ethics 伦理规范Coercive power 强制力Cohesiveness 凝聚力Communication 沟通Communication network 沟通网Compensation 报酬Competitive advantage 竞争优势Computer-aided software engineering(CASE)计算机辅助设计Conceptual skill 概念能力Concurrent control 并行控制Constraints 强制，约束Contingency approaches 随即制宜法Contingency perspective 权变观Contingency planning 随即计划Continuous schedule of reinforcement 连续性奖励Continuous-flow production system 连续生产系统controlling 控制职能Controls 控制Corporate social responsibility 公司社会责任Corporate strategy 公司战略Cost leadership strategy 成本领先战略Current assets 流动资产Current liabilities 流动负债Customer divisional structure 消费者多样化结构Data 数据Debt ratios 负债比率Decision making 决策Decision support system(DSS)决策制定系统Decision tree 决策树(体系)Decision varialbes 决策变量decisional roles 决策角色Decoding 解码Delegation 授权Delphi technique 魔鬼提倡法Devil's advocacy 唱反调的人Dialectical inquiry 辩证探求法Differention strategy 差异化战略Directive leadership 指示领导Diversity 多样化Divisional structure 部门是结构Dogs 瘦狗Downward communication 下行沟通Dynamic network 动态网络Economic feasibility 经济可行性Effectiveness 效果Efficiency 效率Electronic data interchange(EDI)EDI电子数据交换Electronic funds transfer(EFT)电子资金转换Electronic mail(e-mail)电子邮件Employee assistance programs(EAPs)员工辅助项目顾问Employee-centered work redesign 员工工作再设计Employment test 就业测试Empowering employees 职工授权Encoding 编码End users 终极用户Entropy 衰退趋势Escalation of commitment 递增效忠Esteem needs 尊重的需要Ethical behavior 道德表现Ethical dilemma 伦理困境Ethics 伦理Expectancy 期望Expected monetary value(EMV)预期货币价值Expected value 预期价值Expert power 专家权力Expert system 专家系统External communication 外部环境External customer 外部顾客External forces 外部力量Extinction 废止Feedback 反馈Feedback 反馈Feedback 反馈Feedback(corrective)control 反馈校正控制 Feedback controls 反馈控制Feedforward(preventive)control 前馈预防控制Feedforward controls 前馈控制Fixed assets 固定资产Fixed-interval schedule 定时给奖Fixed-position layout 定位式布置Fixed-ratio schedule 定比给奖Focus strategy 集中战略Force-field analysis 立场分析Formal groups 正式群体Functional manager 职能管理者Functional strategy 职能管理者Functional structure 职能式战略GE matrix 职能式结构General environment 一般环境General manager 总经理Generic strategies 一般性策略Geographic divisional structure 全球多样化战略Global strategy 全球化战略Goal setting 目标结构Goals 目标Grand strategy 主战略Grapevine 藤状网络式沟通Group 群体Groupthink 群体思想Groupware 群件Halo-and-horn effect 月晕效应Hawthorne effect 关注作用Human resource information systems(HRISs)人力资源信息系统Human resource management 人力资源管理 Human resource planning 人力资源计划Human rights approach 人权方法Human skills 人工技巧Hybrid layout 混合式布置Hygiene factors 保健因素hyperchange 极度改变Income statement 损益表Informal groups 非正式群体Information 信息Information overload 信息过量Information power 信息权力Information technology 信息技术Informational roles 信息角色Inputs 投入Instrumental values 工具价值Instrumentality 媒介;工具;手段Intangible costs 无形成本Integrating mechanisms 结合机制Interdependence 互相依赖Internal customer 内部顾客Internal forces 内力Internal network 内部网络Interpersonal roles 人际交往能力Intuition 直觉Jargon 行话Job analysis 工作分析;工种分析Job depth 工作深度Job description 工作说明Job description 工作说明Job design 工作设计Job enlargement 工作扩大化Job enrichment 工作丰富化Jobrotation 岗位轮换Job satisfaction 工作满意Job scope 工作丰富化Job specifications 工作规范;操作规程Job-shop production system 职务专业化Justice approach 公正合理观Just-in-time(JIT)inventory management 及时存货系统Labor-management relations 劳工管理关系Language systems and metaphors 语言习惯Lateral communication 横向沟通Law of effect 效应法则Law of requisite variety 必要多样性定律Leadership 领导Leadership substitutes 领导替代leading 领导Least preferred coworker(LPC)scale 最不喜欢的同事Legitimate power 法定权利Liabilities 负债Line personnel 线形人事管理Liquidity ratios 流动率Local-area network(LAN)局域网Locus of control 控制点Locus of decision making 局域网Long-term liabilities 长期债务Machiavellian personality 马基雅弗利人格理论Management 管理Management by exception 例外管理Management by objectives(MBO)目标管理责任制Management information system(MIS)信息管理系统Managers 经理Master production schedule 主生产排程Matket growth rate 市场增长率Matrix structure 矩阵结构Mechanistic systems 机械式组织Medium 载体Messages 消息Motivation 激励Motivator factors 激励因素Multidomestic strategy 多元化策略Myths 虚构的故事Need for achievement 成就需要Negative reinforcement 消极强化Network structure 网络结构Noise 噪声Nominal group technique(NGT)名义群体技术Nonprogrammed decision 非程序化决策Nonverbalcommunicationa 非语言沟通Norms 标准;规范;典范;限额Objectives 目标Objectives function 目标函数Open system 开放系统Operational feasibility 造作可行性Operational plan 作业计划Operational planing 作业计划职能Opportunity 机遇Oral communication 口头交流Organic(clan)control 有机控制Organic system 有机系统organization 组织安排Organizational change 组织变革Organizational control 组织控制Organizational culture 组织文化Organizational design 住址决策Organizational development(OD)组织发展Organizational feasibility 组织可行性Organizational mission 组织使命Organizational structure 组织结构Organizing 组织Orientation 定位Outputs 产出Owner's equity 所有者权益Partial schedule of reinforcement 间断性奖励Participative leadership 参与型领导Participative management 参与管理Path-goal model 途径-目标模型Payoff table 决定(因素)表;结算表;成果表Payoffs 发工资Performance appraisal 绩效考评Personality 性格PERT(program Evaluation and review technique)计划审评技术Physiological needs 生理的需要Plan 计划planning 计划,部署Policies 政策Pooled interdependence 共有相互依存Positive reinforcement 正强化Power 权利Problem 问题Procedures 程序Process consultation 过程咨询Process layout 工艺式布置Product divisional structure 生产部门式结构 Product layout 产品式布置Productivity 生产力Profitability ratios 收益比率Programmed decision 程序化决策Programs 规划Project production system 工程生产系统Projects 项目Protected class 受保护一类Punishment 惩罚Quality assurance 质量保证Quality circle QC小组Quality control 质量管理;质量控制Quality management 质量管理Question marks 问号Rational-economic decision model 理性经济决策模型Rational-legal authority 法理权威模式Reciprocal interdependence 交互性的互赖性Recruitment 招聘Reengineering 工程再造Referent power 指示权力Refreezing 再冻结阶段Relationship orientation 关系导向Relationship-orientation roles 关系导向角色Relative market share 相关市场份额Repetitive, assembly-line, or mass-production system 重复性、流水线、大量生产系统Responsibility 职责Restraining forces 阻力Reward power 奖励权力Rites 仪式Robotics 机器人技术Roles 任务，角色Rules 规则Satisficing 满意性Scalar principle 等级原则Schedules of reinforcement 强化时间表Scientific management 科学管理Security needs 安全的需要Selection 选拔Selective perception 选择性理解Self-actualization needs 自我实现需要Self-esteem 自尊Self-management teams 自我管理小组Self-management teams 自我管理小组Self-monitoring 自我控制Self-oriented roles 自我取向角色Sequential interdependence 顺序式互赖Sexual harassment 性骚扰Single-use plans 一次性计划Skill vareity 多种技能SLT model 情境领导模型Social context 社会关联性Span of control 控制幅度，管理幅度Special-purpose team 特殊目标小组Stable environment 环境稳定Stable network 稳固网络Staff personnel 员工人事管理Staffing 人员雇佣；职工配备Stakeholders 利益相关者Standing plans 长设计划Stars 明星States of nature 自然状态Stereotyping 典型化Stories 事迹Strategic analysis 战略分析Strategic control 战略控制Strategic decision-making matrix 战略决策矩阵Strategic goals 战略目标Strategic plan 战略计划Strategic plan 战略计划Strategic planning 战略计划职能Strategic planning 战略计划职能Strategy formulation 战略制定Strategy Implementation 战略实施Supportive leadership 支持型领导Survey feedback 调查反馈Synergy 共同作用Systems analysis 系统分析Systems development life cycle(SDLC)发展周期系统Tangible costs 可收回成本Task environment 任务环境Task identity 任务说明Task orientation 任务导向型Task significance 任务重要性Task-oriented roles 任务导向型角色Team building 团队建设Technical feasibility 技术可行性Technical skills 技术技能Telecommuting 远程办公Terminal values 终极价值Theory X(管理)X理论Theory Y(管理)Y理论Theory Z(管理)Z理论Total quality management(TQM)TQM全面质量管理Total quality management(TQM)TQM全面质量管理Traditional authority 传统权威模式Training 培训Trait approach 特征途径Transactional leadership 执行性领导Transformation process 变革过程Turbulent environments 动荡环境Type A orientation A 型意向者Type B orientation B型意向者Unfreezing 解冻Unity of command 统一指挥Upward communication 上行沟通Utility approach 功利主义观Valence 效价Validity 效度Values 价值Variable-ratio schedule 变动比率增时制Variance reporting 视频会议Videoconferencing 视频会议Vigilance 警戒Whistleblower 揭发Wide-area network(WAN)局域网Written communication 笔头交流第四篇：铁路专业部分常用词汇中英文对照表铁路专业部分常用词汇中英文对照一、职务名词1.路局MD(Managing Director): 总局长DMD(Deputy Managing Director): 副总局长CS（Corporate Secretary）: 公司秘书MPCA（Manager Planning and Corporate Affairs）: 企划部经理CME(Chief Mechanical Engineer)：机辆总工CCE（Chief Civil Engineer）：工务总工FM(Finance Manager)：财务经理MM （Marketing Manager）：市场经理 TM（Traffic Manager）：运输经理 SM（Supplies Manager）：物资经理 SM（Safety Manager）：安全经理HRM（Human Resources Manager）：人事经理HPR （Head Public Relations）：公关部主管HIT（Head Information Technology）：信息部主管 CIA（Chief Internal Auditor）：内审主管 Chief Pension Officer：退休金主管 Chief Controller ：调度长 2.分局、站段及工厂RGM(Regional General Manager): 分局总经理 RME（Regional Mechanical Engineer）：分局机辆总工RCE（Regional Civil Engineer）：分局工务总工S&T(Signaling & Telecommunication)Engineer: 电务（信号与通信）工程师Head Commercial ：商业主管Head Human Resources ：人事主管Chief AdministrationOfficer：行政主管 Area Manager：区域经理WM（Workshop Manager）: 工厂经理 SM（Station Master）：站长Senior Passenger Officer ：客运主管DPC（District Police Commander）: 地区警察指挥官二、部门和组织名词或惯称 Head Office ：路局或总部CRET（Chinese Railway Expert Team）：中国铁路专家协调组Regional Office：分局 Area Office：区域办事处 Workshop：工厂CSP(concrete Sleeper Plant)：轨枕厂 Quarry ：采石场TTC（TAZARA Training Center）：坦赞铁路局培训中心Locomotive Depot：机务段Rolling Stock Depot：车辆段Marshalling Yard：编组场Construction Unit：房建队Board of Directors:董事会 Board Committee：董事会委员会Committee meeting：委员会会议或预备会Council of Ministers: 部长理事会 Union：工会三、设备名称 1.机车Locomotive Mainline/shunting locomotive: 干线/调车机车DFH Locomotive：东方红机车Diesel Engine：柴油机 Traction Motor：牵引电机 Wheel set：轮对 Bogie：转向架Running Part：走行部Axle: 车轴Coupler：车钩Valve：阀Bearing: 轴承Brake shoe：闸瓦Cow Catcher：排障器Vacuum horse：真空软管 Air pipe：风管Control system：控制系统 Battery：蓄电池DE（Diesel Electric）：柴油电传 DH（Diesel Hydraulic）：柴油液传Driver’s Cab：驾驶室 Crank Shaft：曲轴Locomotive failure：机故 2.Wagon：货车DSO（Down Side Open wagon）: 低帮车CDSO(Container Down Side Open wagon): 低帮集装箱货车HSO(High Side Open):高帮车Co(Covered wagon)：棚车F(Flat wagon)：平板车FT(Flat Tank wagon)：平板罐车 JTW(Jumbo Tank wagon)：大型罐车 CF(Container Flat wagon)：集装箱平车 WW(Well Wagon)：井型车 BV(Brake Van)：守车LS(Livestock wagon)：牲畜车 B(Ballast wagon)：石渣车R(Refrigeration wagon)：冷藏车 3.Coach：客车1st Class Coach：一等车厢（软卧）2nd Class Coach：二等车厢（硬卧）3rd Class Coach：三等车厢（硬座）MD’s Coach: 总局长专用车Super Seat：软座车厢Dining/buffet Car：餐车Lounge Car：酒吧车 Luggage Van：行李车 4.其它设备 Gantry crane：龙门吊 Trolley：轨道车 Reversing Gear：换向机构 Rescue crane：救援吊车Re-railing Equipment：复救设备 Forklift：叉车Mobile crane：汽车吊 Air compressor：空压机 Mono block：轮饼 Coupler knuckle：钩舌 Wooden sleeper：木枕Concrete sleeper：混凝土轨枕Bridge sleeper：桥枕Turnout：道岔Semaphore signal：臂板信号机 Interlocking equipment: 联锁设备Semi-automatic block system：半自动闭塞 Head Crane：桥式吊车 Drop Table：落车台Flaw detection machine：探伤仪Triple valve：三通阀Generator：发电机 Shop ：车间Second crusher：二级破碎机四、运输词汇Financial year：财政 Passenger train：客车 Freight train: 货车Commuter train：通勤车 Up train:上行列车 Down train：下行列车 Fuel：燃油Locomotive routing：机车交路Locomotive availability：机车完好率Timetable：时刻表Arrival time：抵达时间 Departure time：出发时间 Freight traffic：货运量Passenger ridership：客运量 Parcel：行包tonne-km：吨公里turnaround time：周转时间 punctuality：正点率 interchange：过轨level crossing：平交道口good shed：货场weighbridge：轨道衡 copper：铜 manganese：锰 coal：煤fertilizer：化肥 timber：木材 maize：玉米wheat flour：面粉 molasses：糖稀 container：集装箱 sulphur：硫磺general cargo：杂货 accident：事故 derail：脱轨 capsize：倾覆五、其它专有名词或短语Ministry of transport: 交通部Immigration office：移民局Exemption: 豁免证/工作许可PS（Permanent Secretary）：常秘cemetery：公墓 Protocol：议定书Concession：特许经营Concessionaire：特许经营者/特许经营单位Manpower position：员工人数 Clearance：清关Shipping documents：海运文件 Bill of Lading: 提货单 Packing List：装箱单 Insurance：保险Commercial Invoice：商务发票 Production meeting：生产交班会 minutes：会议记录MOU（Memorandum of Understanding）：谅解备忘录Invitation letter：邀请函Motor vehicle license: 机动车辆证/上路许可financial statement：财务报表 quarter：季度 Turnover：营业额 Revenue：收入 Expenditure：支出 Pension：退休金 Rates: 费率Freight tariff: 货运价格 Passenger fare：客车票价 Permanent way：工务线路speed restricted area：限速地段 land slide: 滑坡tamping machine：捣固机light/heavy motor trolley: 轻型/重型轨道车ballast：道砟curve: 曲线 culvert：涵洞 tunnel：隧道 gradient: 坡度 gauge：轨距/限界motive power：动力（设备）single locomotive operation：单机牵引MU(multiple unit)operation：多机牵引 axle load：轴重 Cummins：康明斯Transmission type：传动类型 Hydraulic transmission：液力传动 Piston：活塞Air brake: 空气制动Vacuum brake：真空制动H.F.(High Frequency)radio: 高频电台 Microwave：微波 Optic fiber：光纤 Light repair: 小修 Medium repair：中修Rehabilitation/overhaul：大修 Spare part：零配件Kilimanjaro passenger train：乞力马扎罗号客车Mukuba passenger train：姆库巴号客车Compartment：客车包厢 VIP lounge：贵宾室 Control order：调度令 Booking office：售票处第五篇：高中历史重要词汇中英文对照表<历史>重要词汇中英文对照表马可·波罗Marco Polo 达·迦马Vasco Da Gama 麦哲伦Ferdinand Magellan 印第安人Indian 乔托Giotto米开朗琪罗Buonarroti Michelangelo 拉菲尔Raphael马基雅维利Niccolò Machiavelli 塞万提斯Miguel de Cervantes 伽利略Galileo中世纪Medieval Period 哥伦布Christopher Columbus 商业革命Commercial Revolution 殖民主义colonialism 奴隶贸易slave trade 文艺复兴Renaissance 人文主义humanism 但丁Dante达·芬奇Leonardo da Vinci 莎士比亚William Shakespeare 哥白尼Nicolaus Copernicus 宗教改革The Reformation 马丁·路德Martin Luther 闵采尔Thomas Müntzer 胡格诺派Huguenots 加尔文派Calvinists 亨利八世Henry Ⅷ圈地运动enclosure movement 都铎王朝House of Tudor 斯图亚特王朝House of Stuart 詹姆士一世James Ⅰ 查理一世Charles Ⅰ英国国教。
amc常用数学词汇
amc常用数学词汇一、代数（Algebra）相关。
1. Variable（变量）- 发音：[ˈveəriəbl]- 词性：名词。
- 例句：In the equation y = 2x+3, x and y are variables.2. Coefficient（系数）- 发音：[ˌkəʊɪˈfɪʃnt]- 词性：名词。
- 例句：In the term 3x, the coefficient of x is 3.3. Equation（方程）- 发音：[ɪˈkweɪʒn]- 词性：名词。
- 例句：The equation x^2+2x - 3=0is a quadratic equation.4. Function（函数）- 发音：[ˈfʌŋkʃn]- 词性：名词。
- 例句：The function y = f(x) represents a relationship between x and y.5. Polynomial（多项式）- 发音：[ˌpɒlɪˈnəʊmiəl]- 词性：名词。
- 例句：x^3+2x^2- 5x + 1is a polynomial.二、几何（Geometry）相关。
1. Point（点）- 发音：[pɔɪnt]- 词性：名词。
- 例句：A point has no size or shape. We can represent a point as A.2. Line（直线）- 发音：[laɪn]- 词性：名词。
- 例句：A line extends infinitely in both directions.3. Line Segment（线段）- 发音：[laɪn ˈseɡmənt]- 词性：名词。
- 例句：A line segment has two endpoints, such as ¯AB.4. Ray（射线）- 发音：[reɪ]- 词性：名词。
圆的数学定义 英语
圆的数学定义英语Title: The Mathematical Definition of a Circle: A Journey into Geometric PerfectionIn the realm of mathematical geometry, circles hold a unique and captivating place, their elegance and simplicity defying the boundaries of Euclidean space. A circle, by definition, is a two-dimensional shape that forms when all points equidistant from a central point are connected, creating a continuous, circular boundary. This fundamental concept has been studied and revered for centuries, its influence permeating various aspects of mathematics, physics, and art.The circle's mathematical definition begins with its radius, a line segment that connects the center to any point on its circumference. The radius, denoted by 'r,' defines its size and determines the curvature of the circle. The center, often represented by the symbol 'O,' is the point from which all radii emanate. The distance from the center to any point on the circle is the same, a fundamental property that sets it apart from other shapes.The radius is not the only measure in a circle's definition.Circumference, denoted by 'C,' is the total length of the boundary, calculated using the formula 2πr, where π (pi) is a mathematical constant approximately equal to 3.14159. This circumference is the path that a point would take if it were to travel once around the circle. The area, denoted by 'A,' is the region enclosed by the circle, calculated using the formula πr². This area is a measure of the space occupied by the circle.The circle's relationship with other geometric shapes is also crucial. It is the only shape that is both a regular polygon (all sides and angles are equal) and a polygon with the highest number of sides (infinitely many). It is also the parent shape for other shapes like ellipses and ovals, which can be obtained by stretching or compressing a circle.In the realm of algebra, circles play a significant role in equations. The equation of a circle with center (h, k) and radius r is given by (x - h)² + (y - k)² = r². This equation, kn own as the circle's equation in standard form, allows us to find the points that lie on the circle's circumference or determine if a given point lies within it.The circle's symmetries are another fascinating aspect. It is a perfect shape, with every point being equidistant from its center, resulting in 180-degree rotational symmetry. This property is reflected in its reflection across any diameter, which bisects the circle and creates another identical circle.In the context of calculus, circles are central to the study of limits and derivatives. The derivative of the circumference with respect to the radius, for instance, is 2π, reflecting the constant rate of change in the circle's circumference as its radius changes.Lastly, circles have profound implications in physics, particularly in the study of motion. In circular motion, an object moves along a circle with a constant speed, its path described by the equation of a circle. This motion is a fundamental part of understanding circular orbits in celestial mechanics.In conclusion, the mathematical definition of a circle is not just a geometric construct, but a fundamental concept that underpins the understanding of the universe. Its simplicity and elegance have inspired countless mathematical discoveries and applications, from the elegant equations of algebra to the principles of physics. As we delve deeper into the realm of mathematics, the circle remains a constant reminder of the harmony and balance inherent in nature's designs.。
初中数学英语词汇
初中数学英语词汇基础概念 (fundamentals)axiom，公理theorem，定理prove，证明，名词形式为proofhypothesis，假设 (名词)assume，假设 (动词)condition，条件proposition，命题statement，陈述，声明代数 (algebra)实数与小数real number，实数rational number，有理数/比例数irrational number，无理数/非比例数round，取整round off，四舍五入round up，向上取整，如4.1被round up后是5 round down，向下取整，如4.9被round down后是4 decimal，十进制的，小数number line，数轴origin，原点tenths digit，十分位，如12.345中，4为十分位percentile，百分位，如12.345中，5为百分位多项式base，底数exponent，指数power，乘方root，根square，平方square root，平方根cube，立方cube root，立方根term，项monomial，单项式polynomial，多项式binomial，二项式coefficient，系数numerical coefficient，数字系数literal coefficient，字母系数unknown，未知数expand，展开expanded form，展开式simplify，化简evaluate，求值方程equation，等式，方程inequation，不等式constant，常量，不变的variable，变量linear，一次的，线性的linear/simple/first-order equation，一次方程几何 (geometry)基础概念figure，图形plot，画图，标点point/dot，点line，线radial，射线segment，线段endpoint，端点midpoint，中点plane，面face/surface，表面parallel，平行perpendicular，垂直intersect，相交area，面积volume，体积height/attitude，高perimeter，周长bisect，二等分displace/translate，位移/平移rotate，旋转symmetry，对称symmetric，对称的axis，轴coincide，重合fold，折叠overlap，重叠touch，接触三角形angle，角 (注意与corner不一样) degree，角度right angle，直角side，边base，底边vertex，顶点，复数形式为verticesequilateral triangle，等边三角形isosceles triangle，等腰三角形right(-angled) triangle，直角三角形arm/leg，直角边hypotenuse，斜边Pythagorean theorem，毕达哥拉斯定理/勾股定理median，中线opposite side，对边similar，相似congruent，全等多边形polygon，多边形quadrilateral，四边形pentagon，五边形hexagon，六边形octagon，八边形parallelogram，平行四边形equilateral，等边的rectangle，矩形/长方形square，正方形rhombus/diamond，菱形trapezoid，梯形right trapezoid，直角梯形isosceles trapezoid，等腰梯形regular polygon，正多边形opposite corner，对角圆与立体circle，圆circumference，圆周长semicircle，半圆pie/sector，扇形ring，环形arc，弧concentric circles，同心圆center/centre，圆心radius，半径，复数为radii diameter，直径tangent，切线inscribe，内接cube，立方体edge，边/棱(circular) cylinder，圆柱体rectangular solid，长方体under surface/base face，底面其它adjacent，相邻clockwise，顺时针counter-clockwise，逆时针数论 (number theory)数与数字natural number，自然数integer，整数，又称whole number positive number，正数negative number，负数absolute value，绝对值odd number，奇数even number，偶数prime number，质数/素数composite number，合数factor/divisor，因数/约数factorization，因数分解greatest common divisor，最大公约数least common multiple，最小公倍数digit，数字(0~9)thousands/hundreds/tens/units digit，千/百/十/个位consecutive，连续的加减乘除plus/add，加sum/total，和carry，进位minus/subtract，减difference/remainder，差multiply/times，乘product，乘积divide，除divisible，可被整除的quotient，商remainder，余数perfect square，完全平方分数与比inverse/reciprocal，倒数ratio，比例common ratio，公比fraction，分数，占比numerator，分子denominator，分母least common denominator，最小公分母其它factorial，阶乘series，数列sequence，序列successive，后续的，后继的概率 (probability)permutation，排列combination，组合arrange/rearrange，排放/重排probability，概率die/dice，骰子fair，公平的，公正的draw，取出，抽出survey，调查average/mean，平均数mode，众数median，中值bar graph，柱形(统计)图pie graph，扇形(统计)图集合 (set)set，集合element，元素subset，子集union，联合，并集intersection，相交，交集distinct，不同的identical，相同的商业 (commercial)margin/profit，利润loss，损失gain，收益cost，成本，花费sale，促销，如10%-off sale，即为九折促销discount，折扣，如10% discount为九折coin，硬币head，硬币头像面tail，硬币背面penny，一分钱硬币nickel，五分钱硬币dime，一角钱硬币quarter，四分之一元(即25分钱)硬币face value，面值，例如一元钱的面值就是一元，但是如果是古董一元钱，其价值(value)可能有上千元change，零钱，找零其它 (others)cardinal，基数，如1、2、3……ordinal，序数，如第一、第二、第三……decrease，减少increase，增加in proportion，成比例direct proportion，正比parentheses，括号function，函数coordinate，坐标Venn diagram，文氏图sufficient，充分的necessary，必要的tile，片/块spinner，转盘revolution，(转)一圈approximate，大约的，近似的estimate，估计，估算* 进阶 *代数 (algebra)decimal point，小数点decimal fraction，纯小数infinite decimal，无穷小数recurring decimal，循环小数root/radical sign，根号extraction/evolution，开方logarithm，对数quadratic/second-order equation，二次方程cubic/third-order equation，三次方程quatic/fourth-order equation，四次方程几何 (geometry)acute angle，锐角obtuse angle，钝角straight angle，平角round angle，周角included angle，夹角interior angle，内角exterior angle，外角supplementary angle，补角complementary angle，余角vertical angle，对顶角corresponding angle，同位角alternate angle，内错角adjacent angle，邻角scalene triangle，不等边三角形acute triangle，锐角三角形obtuse triangle，钝角三角形angle bisector，角平分线heptagon，七边形nonagon/enneagon，九边形decagon，十边形hexagram，六芒星sphere，球体hemisphere，半球cone，圆锥数论 (number theory)null/zero/nought，零addend，加数augend/summand，被加数minuend，被减数subtrahend，减数multiplicand/faciend，被乘数multiplicator/multiplier，乘数dividend，被除数divisor，除数 (注意greatest common divisor) proper fraction，真分数improper fraction，假分数mixed number，带分数。
初中数学名词中英文对照
初中数学名词中英文对照一、数学基本名词1. 数学（Mathematics）：研究数量、结构、变化以及空间和随机性等概念的一门学科。
2. 数学符号（Mathematical notation）：用于表示数学概念、运算、关系和变量的特殊符号或标记。
3. 数（Number）：表示数量、大小或顺序的概念。
4. 计算（Computation）：使用数学运算符号进行数值计算的过程。
5. 公式（Formula）：用符号表示数学关系的语句。
6. 方程（Equation）：含有一个或多个未知数的等式。
7. 几何（Geometry）：研究空间形状、大小和属性的数学分支。
8. 代数（Algebra）：使用符号和变量来表示数值关系和运算的数学分支。
二、数的基本概念1. 自然数（Natural number）：从1开始的正整数。
2. 整数（Integer）：包括负整数、零和正整数的集合。
3. 有理数（Rational number）：可以表示为两个整数的比值的数。
4. 实数（Real number）：包括有理数和无理数的集合。
5. 虚数（Imaginary number）：表示为实数与虚数单位i的乘积的数。
三、基本运算1. 加法（Addition）：将两个或多个数合并为一个数的运算。
2. 减法（Subtraction）：从一个数中减去另一个数的运算。
3. 乘法（Multiplication）：将两个或多个数相乘的运算。
4. 除法（Division）：将一个数分成若干等分的运算。
5. 幂（Exponentiation）：将一个数乘以自身若干次的运算。
四、几何形状1. 点（Point）：空间中没有大小和形状的位置。
2. 直线（Line）：由一组无限延伸的点构成的路径。
3. 面（Surface）：由一组相邻的线构成的平坦区域。
4. 角（Angle）：由两条射线共享一个端点而形成的图形。
5. 圆（Circle）：由等距离于中心的点构成的闭合曲线。
常用数学词汇英语翻译
常用数学词汇abscissa 横坐标absolute complement 绝对补集absolute error 绝对误差absolute inequality 绝不等式absolute maximum 绝对极大值absolute minimum 绝对极小值absolute monotonic 绝对单调absolute value 绝对值accelerate 加速acceleration 加速度acceleration due to gravity 重力加速度; 地心加速度accumulation 累积accumulative 累积的accuracy 准确度act on 施于action 作用; 作用力acute angle 锐角acute-angled triangle 锐角三角形add 加addition 加法addition formula 加法公式addition law 加法定律addition law(of probability) （概率）加法定律additive inverse 加法逆元; 加法反元additive property 可加性adjacent angle 邻角adjacent side 邻边adjoint matrix 伴随矩阵algebra 代数algebraic 代数的algebraic equation 代数方程algebraic expression 代数式algebraic fraction 代数分式；代数分数式algebraic inequality 代数不等式algebraic number 代数数algebraic operation 代数运算algebraically closed 代数封闭algorithm 算法系统; 规则系统alternate angle （交）错角alternate segment 内错弓形alternating series 交错级数alternative hypothesis 择一假设; 备择假设; 另一假设altitude 高；高度；顶垂线；高线ambiguous case 两义情况；二义情况amount 本利和；总数analysis 分析；解析analytic geometry 解析几何angle 角angle at the centre 圆心角angle at the circumference 圆周角angle between a line and a plane 直 与平面的交角angle between two planes 两平面的交角angle bisection 角平分angle bisector 角平分线 ；分角线angle in the alternate segment 交错弓形的圆周角angle in the same segment 同弓形内的圆周角angle of depression 俯角angle of elevation 仰角angle of friction 静摩擦角; 极限角angle of greatest slope 最大斜率的角angle of inclination 倾斜角angle of intersection 相交角；交角angle of projection 投射角angle of rotation 旋转角angle of the sector 扇形角angle sum of a triangle 三角形内角和angles at a point 同顶角angular displacement 角移位angular momentum 角动量angular motion 角运动angular velocity 角速度annum(X% per annum) 年（年利率X%）anti-clockwise direction 逆时针方向；返时针方向anti-clockwise moment 逆时针力矩anti-derivative 反导数; 反微商anti-logarithm 逆对数；反对数anti-symmetric 反对称apex 顶点approach 接近；趋近approximate value 近似值approximation 近似；略计；逼近Arabic system 阿刺伯数字系统arbitrary 任意arbitrary constant 任意常数arc 弧arc length 弧长arc-cosine function 反余弦函数arc-sin function 反正弦函数arc-tangent function 反正切函数area 面积Argand diagram 阿根图, 阿氏图argument (1)论证; (2)辐角argument of a complex number 复数的辐角argument of a function 函数的自变量arithmetic 算术arithmetic mean 算术平均；等差中顶；算术中顶arithmetic progression 算术级数；等差级数arithmetic sequence 等差序列arithmetic series 等差级数arm 边array 数组; 数组arrow 前号ascending order 递升序ascending powers of X X 的升幂assertion 断语; 断定associative law 结合律assumed mean 假定平均数assumption 假定；假设asymmetrical 非对称asymptote 渐近asymptotic error constant 渐近误差常数at rest 静止augmented matrix 增广矩阵auxiliary angle 辅助角auxiliary circle 辅助圆auxiliary equation 辅助方程average 平均；平均数；平均值average speed 平均速率axiom 公理axiom of existence 存在公理axiom of extension 延伸公理axiom of inclusion 包含公理axiom of pairing 配对公理axiom of power 幂集公理axiom of specification 分类公理axiomatic theory of probability 概率公理论axis 轴axis of parabola 拋物线的轴axis of revolution 旋转轴axis of rotation 旋转轴axis of symmetry 对称轴back substitution 回代bar chart 棒形图；条线图；条形图；线条图base （1）底；（2）基；基数base angle 底角base area 底面base line 底线base number 底数；基数base of logarithm 对数的底basis 基Bayes' theorem 贝叶斯定理bearing 方位（角）；角方向（角）bell-shaped curve 钟形图belong to 属于Bernoulli distribution 伯努利分布Bernoulli trials 伯努利试验bias 偏差；偏倚biconditional 双修件式; 双修件句bijection 对射; 双射; 单满射bijective function 对射函数; 只射函数billion 十亿bimodal distribution 双峰分布binary number 二进数binary operation 二元运算binary scale 二进法binary system 二进制binomial 二项式binomial distribution 二项分布binomial expression 二项式binomial series 二项级数binomial theorem 二项式定理bisect 平分；等分bisection method 分半法；分半方法bisector 等分线 ；平分线Boolean algebra 布尔代数boundary condition 边界条件boundary line 界（线）；边界bounded 有界的bounded above 有上界的；上有界的bounded below 有下界的；下有界的bounded function 有界函数bounded sequence 有界序列brace 大括号bracket 括号breadth 阔度broken line graph 折线图calculation 计算calculator 计算器；计算器calculus (1) 微积分学; (2) 演算cancel 消法；相消canellation law 消去律canonical 典型; 标准capacity 容量cardioid 心脏Cartesian coordinates 笛卡儿坐标Cartesian equation 笛卡儿方程Cartesian plane 笛卡儿平面Cartesian product 笛卡儿积category 类型；范畴catenary 悬链Cauchy sequence 柯西序列Cauchy's principal value 柯西主值Cauchy-Schwarz inequality 柯西- 许瓦尔兹不等式central limit theorem 中心极限定理central line 中线central tendency 集中趋centre 中心；心centre of a circle 圆心centre of gravity 重心centre of mass 质量中心centrifugal force 离心力centripedal acceleration 向心加速度centripedal force force 向心力centroid 形心；距心certain event 必然事件chain rule 链式法则chance 机会change of axes 坐标轴的变换change of base 基的变换change of coordinates 坐标轴的变换change of subject 主项变换change of variable 换元；变量的换characteristic equation 特征(征)方程characteristic function 特征(征)函数characteristic of logarithm 对数的首数; 对数的定位部characteristic root 特征(征)根chart 图；图表check digit 检验数位checking 验算chord 弦chord of contact 切点弦circle 圆circular 圆形；圆的circular function 圆函数；三角函数circular measure 弧度法circular motion 圆周运动circular permutation 环形排列; 圆形排列; 循环排列circumcentre 外心；外接圆心circumcircle 外接圆circumference 圆周circumradius 外接圆半径circumscribed circle 外接圆cissoid 蔓叶class 区；组；类class boundary 组界class interval 组区间；组距class limit 组限；区限class mark 组中点；区中点classical theory of probability 古典概率论classification 分类clnometer 测斜仪clockwise direction 顺时针方向clockwise moment 顺时针力矩closed convex region 闭凸区域closed interval 闭区间coaxial 共轴coaxial circles 共轴圆coaxial system 共轴系coded data 编码数据coding method 编码法co-domain 上域coefficient 系数coefficient of friction 摩擦系数coefficient of restitution 碰撞系数; 恢复系数coefficient of variation 变差系数cofactor 余因子; 余因式cofactor matrix 列矩阵coincide 迭合；重合collection of terms 并项collinear 共线collinear planes 共线面collision 碰撞column (1)列；纵行；(2) 柱column matrix 列矩阵column vector 列向量combination 组合common chord 公弦common denominator 同分母；公分母common difference 公差common divisor 公约数；公约common factor 公因子；公因子common logarithm 常用对数common multiple 公位数；公倍common ratio 公比common tangent 公切 commutative law 交换律comparable 可比较的compass 罗盘compass bearing 罗盘方位角compasses 圆规compasses construction 圆规作图compatible 可相容的complement 余；补余complement law 补余律complementary angle 余角complementary equation 补充方程complementary event 互补事件complementary function 余函数complementary probability 互补概率complete oscillation 全振动completing the square 配方complex conjugate 复共轭complex number 复数complex unmber plane 复数平面complex root 复数根component 分量component of force 分力composite function 复合函数; 合成函数composite number 复合数；合成数composition of mappings 映射构合composition of relations 复合关系compound angle 复角compound angle formula 复角公式compound bar chart 综合棒形图compound discount 复折扣compound interest 复利；复利息compound probability 合成概率compound statement 复合命题; 复合叙述computation 计算computer 计算机；电子计算器concave 凹concave downward 凹向下的concave polygon 凹多边形concave upward 凹向上的concentric circles 同心圆concept 概念conclusion 结论concurrent 共点concyclic 共圆concyclic points 共圆点condition 条件conditional 条件句；条件式conditional identity 条件恒等式conditional inequality 条件不等式conditional probability 条件概率cone 锥；圆锥（体）confidence coefficient 置信系数confidence interval 置信区间confidence level 置信水平confidence limit 置信极限confocal section 共焦圆锥曲congruence (1)全等；(2)同余congruence class 同余类congruent 全等congruent figures 全等图形congruent triangles 全等三角形conic 二次曲 ; 圆锥曲conic section 二次曲 ; 圆锥曲conical pendulum 圆锥摆conjecture 猜想conjugate 共轭conjugate axis 共轭conjugate diameters 共轭轴conjugate hyperbola 共轭(直)径conjugate imaginary / complex number 共轭双曲 conjugate radical 共轭虚/复数conjugate surd 共轭根式; 共轭不尽根conjunction 合取connective 连词connector box 捙接框consecutive integers 连续整数consecutive numbers 连续数；相邻数consequence 结论；推论consequent 条件；后项conservation of energy 能量守恒conservation of momentum 动量守恒conserved 守恒consistency condition 相容条件consistent 一贯的；相容的consistent estimator 相容估计量constant 常数constant acceleration 恒加速度constant force 恒力constant of integration 积分常数constant speed 恒速率constant term 常项constant velocity 怛速度constraint 约束；约束条件construct 作construction 作图construction of equation 方程的设立continued proportion 连比例continued ratio 连比continuity 连续性continuity correction 连续校正continuous 连续的continuous data 连续数据continuous function 连续函数continuous proportion 连续比例continuous random variable 连续随机变量contradiction 矛盾converge 收敛convergence 收敛性convergent 收敛的convergent iteration 收敛的迭代convergent sequence 收敛序列convergent series 收敛级数converse 逆(定理)converse of a relation 逆关系converse theorem 逆定理conversion 转换convex 凸convex polygon 凸多边形convexity 凸性coordinate 坐标coordinate geometry 解析几何；坐标几何coordinate system 坐标系系定理；系；推论coplanar 共面coplanar forces 共面力coplanar lines 共面co-prime 互质; 互素corollary 系定理; 系; 推论correct to 准确至；取值至correlation 相关correlation coefficient 相关系数correspondence 对应corresponding angles (1)同位角；(2)对应角corresponding element 对应边corresponding sides 对应边cosecant 余割cosine 余弦cosine formula 余弦公式cost price 成本cotangent 余切countable 可数countable set 可数集countably infinite 可数无限counter clockwise direction 逆时针方向；返时针方向counter example 反例counting 数数；计数couple 力偶Carmer's rule 克莱玛法则criterion 准则critical point 临界点critical region 临界域cirtical value 临界值cross-multiplication 交叉相乘cross-section 横切面；横截面；截痕cube 正方体；立方；立方体cube root 立方根cubic 三次方；立方；三次(的)cubic equation 三次方程cubic roots of unity 单位的立方根cuboid 长方体；矩体cumulative 累积的cumulative distribution function 累积分布函数cumulative frequecy 累积频数；累积频率cumulative frequency curve 累积频数曲cumulative frequcncy distribution 累积频数分布cumulative frequency polygon 累积频数多边形；累积频率直方图curvature of a curve 曲线的曲率curve 曲线curve sketching 曲线描绘(法)curve tracing 曲线描迹(法)curved line 曲线curved surface 曲面curved surface area 曲面面积cyclic expression 输换式cyclic permutation 圆形排列cyclic quadrilateral 圆内接四边形cycloid 旋输线; 摆线cylinder 柱；圆柱体cylindrical 圆柱形的damped oscillation 阻尼振动data 数据De Moivre's theorem 棣美弗定理De Morgan's law 德摩根律decagon 十边形decay 衰变decay factor 衰变因子decelerate 减速decelaration 减速度decile 十分位数decimal 小数decimal place 小数位decimal point 小数点decimal system 十进制decision box 判定框declarative sentence 说明语句declarative statement 说明命题decoding 译码decrease 递减decreasing function 递减函数；下降函数decreasing sequence 递减序列；下降序列decreasing series 递减级数；下降级数decrement 减量deduce 演绎deduction 推论deductive reasoning 演绎推理definite 确定的；定的definite integral 定积分definition 定义degenerated conic section 降级锥曲线degree (1) 度; (2) 次degree of a polynomial 多项式的次数degree of accuracy 准确度degree of confidence 置信度degree of freedom 自由度degree of ODE 常微分方程次数degree of precision 精确度delete 删除; 删去denary number 十进数denominator 分母dependence (1)相关; (2)应变dependent event(s) 相关事件; 相依事件; 从属事件dependent variable 应变量; 应变数depreciation 折旧derivable 可导derivative 导数derived curve 导函数曲线derived function 导函数derived statistics 推算统计资料; 派生统计资料descending order 递降序descending powers of x x的降序descriptive statistics 描述统计学detached coefficients 分离系数(法) determinant 行列式deviation 偏差; 变差deviation from the mean 离均差diagonal 对角线diagonal matrix 对角矩阵diagram 图; 图表diameter 直径diameter of a conic 二次曲线的直径difference 差difference equation 差分方程difference of sets 差集differentiable 可微differential 微分differential coefficient 微商; 微分系数differential equation 微分方程differential mean value theorem 微分中值定理differentiate 求...的导数differentiate from first principle 从基本原理求导数differentiation 微分法digit 数字dimension 量; 量网; 维(数)direct impact 直接碰撞direct image 直接像direct proportion 正比例direct tax, direct taxation 直接税direct variation 正变(分)directed angle 有向角directed line 有向直线directed line segment 有向线段directed number 有向数direction 方向; 方位direction angle 方向角direction cosine 方向余弦direction number 方向数direction ratio 方向比directrix 准线Dirichlet function 狄利克来函数discontinuity 不连续性discontinuous 间断(的);连续(的); 不连续(的) discontinuous point 不连续点discount 折扣discrete 分立; 离散discrete data 离散数据; 间断数据discrete random variable 间断随机变数discrete uniform distribution 离散均匀分布discriminant 判别式disjoint 不相交的disjoint sets 不相交的集disjunction 析取dispersion 离差displacement 位移disprove 反证distance 距离distance formula 距离公式distinct roots 相异根distincr solution 相异解distribution 公布distributive law 分配律diverge 发散divergence 发散(性)divergent 发散的divergent iteration 发散性迭代divergent sequence 发散序列divergent series 发散级数divide 除dividend (1)被除数；(2)股息divisible 可整除division 除法division algorithm 除法算式divisor 除数；除式；因子divisor of zero 零因子dodecagon 十二边形domain 定义域dot 点dot product 点积double angle 二倍角double angle formula 二倍角公式double root 二重根dual 对偶duality (1)对偶性; (2) 双重性due east/ south/ west /north 向东/ 南/ 西/ 北dynamics 动力学eccentric angle 离心角eccentric circles 离心圆eccentricity 离心率echelon form 梯阵式echelon matrix 梯矩阵edge 棱；边efficient estimator 有效估计量effort 施力eigenvalue 本征值eigenvector 本征向量elastic body 弹性体elastic collision 弹性碰撞elastic constant 弹性常数elastic force 弹力elasticity 弹性element 元素elementary event 基本事件elementary function 初等函数elementary row operation 基本行运算elimination 消法elimination method 消去法；消元法ellipse 椭圆ellipsiod 椭球体elliptic function 椭圆函数elongation 伸张；展empirical data 实验数据empirical formula 实验公式empirical probability 实验概率；经验概率empty set 空集encoding 编码enclosure 界限end point 端点energy 能; 能量entire surd 整方根epicycloid 外摆线equal 相等equal ratios theorem 等比定理equal roots 等根equal sets 等集equality 等(式)equality sign 等号equation 方程equation in one unknown 一元方程equation in two unknowns (variables) 二元方程equation of a straight line 直线方程equation of locus 轨迹方程equiangular 等角(的)equidistant 等距(的)equilateral 等边(的)equilateral polygon 等边多边形equilateral triangle 等边三角形equilibrium 平衡equiprobable 等概率的equiprobable space 等概率空间equivalence 等价equivalence class 等价类equivalence relation 等价关系equivalent 等价(的)error 误差error allowance 误差宽容度error estimate 误差估计error term 误差项error tolerance 误差宽容度escribed circle 旁切圆estimate 估计；估计量estimator 估计量Euclidean algorithm 欧几里德算法Euclidean geometry 欧几里德几何Euler's formula 尤拉公式；欧拉公式evaluate 计值even function 偶函数even number 偶数evenly distributed 均匀分布的event 事件exact 真确exact differential form 恰当微分形式exact solution 准确解；精确解；真确解exact value 法确解；精确解；真确解example 例excentre 外心exception 例外excess 起exclusive 不包含exclusive disjunction 不包含性析取exclusive events 互斥事件exercise 练习exhaustive event(s) 彻底事件existential quantifier 存在量词expand 展开expand form 展开式expansion 展式expectation 期望expectation value, expected value 期望值；预期值experiment 实验；试验experimental 试验的experimental probability 实验概率explicit function 显函数exponent 指数exponential function 指数函数exponential order 指数阶; 指数级express…in terms of…以………表达expression 式；数式extension 外延；延长；扩张；扩充extension of a function 函数的扩张exterior angle 外角external angle bisector 外分角external point of division 外分点extreme point 极值点extreme value 极值extremum 极值face 面factor 因子；因式；商factor method 因式分解法factor theorem 因子定理；因式定理factorial 阶乘factorization 因子分解；因式分解factorization of polynomial 多项式因式分解fallacy 谬误FALSE 假(的)falsehood 假值family 族family of circles 圆族family of concentric circles 同心圆族family of straight lines 直线族feasible solution 可行解；容许解Fermat's last theorem 费尔马最后定理Fibonacci number 斐波那契数；黄金分割数Fibonacci sequence 斐波那契序列fictitious mean 假定平均数figure (1)图(形)；(2)数字final velocity 末速度finite 有限finite dimensional vector space 有限维向量空间finite population 有限总体finite probability space 有限概率空间finite sequence 有限序列finite series 有限级数finite set 有限集first approximation 首近似值first derivative 一阶导数first order differential equation 一阶微分方程first projection 第一投影; 第一射影first quartile 第一四分位数first term 首项fixed deposit 定期存款fixed point 定点fixed point iteration method 定点迭代法fixed pulley 定滑轮flow chart 流程图focal axis 焦轴focal chord 焦弦focal length 焦距focus(foci) 焦点folium of Descartes 笛卡儿叶形线foot of perpendicular 垂足for all X 对所有Xfor each /every X 对每一Xforce 力forced oscillation 受迫振动form 形式；型formal proof 形式化的证明format 格式；规格formula(formulae) 公式four leaved rose curve 四瓣玫瑰线four rules 四则four-figure table 四位数表fourth root 四次方根fraction 分数；分式fraction in lowest term 最简分数fractional equation 分式方程fractional index 分数指数fractional inequality 分式不等式free fall 自由下坠free vector 自由向量; 自由矢量frequency 频数；频率frequency distribution 频数分布；频率分布frequency distribution table 频数分布表frequency polygon 频数多边形；频率多边形friction 摩擦; 摩擦力frictionless motion 无摩擦运动frustum 平截头体fulcrum 支点function 函数function of function 复合函数；迭函数functional notation 函数记号fundamental theorem of algebra 代数基本定理fundamental theorem of calculus 微积分基本定理gain 增益；赚；盈利gain perent 赚率；增益率；盈利百分率game （1）对策；（2）博奕Gaussian distribution 高斯分布Gaussian elimination 高斯消去法general form 一般式；通式general solution 通解；一般解general term 通项generating function 母函数; 生成函数generator (1)母线; (2)生成元geoborad 几何板geometric distribution 几何分布geometric mean 几何平均数；等比中项geometric progression 几何级数；等比级数geometric sequence 等比序列geometric series 等比级数geometry 几何；几何学given 给定；已知global 全局; 整体global maximum 全局极大值; 整体极大值global minimum 全局极小值; 整体极小值golden section 黄金分割grade 等级gradient (1)斜率；倾斜率；(2)梯度grand total 总计graph 图像；图形；图表graph paper 图表纸graphical method 图解法graphical representation 图示；以图样表达graphical solution 图解gravitational acceleration 重力加速度gravity 重力greatest term 最大项greatest value 最大值grid lines 网网格线group 组；grouped data 分组数据；分类数据grouping terms 并项；集项growth 增长growth factor 增长因子half angle 半角half angle formula 半角公式half closed interval 半闭区间half open interval 半开区间harmonic mean (1) 调和平均数; (2) 调和中项harmonic progression 调和级数head 正面（钱币）height 高（度）helix 螺旋线hemisphere 半球体；半球heptagon 七边形Heron's formula 希罗公式heterogeneous (1)参差的; (2)不纯一的hexagon 六边形higher order derivative 高阶导数highest common factor(H.C.F) 最大公因子；最高公因式；最高公因子Hindu-Arabic numeral 阿刺伯数字histogram 组织图；直方图；矩形图Holder's Inequality 赫耳德不等式homogeneous 齐次的homogeneous equation 齐次方程Hooke's law 虎克定律horizontal 水平的；水平horizontal asymptote 水平渐近线horizontal component 水平分量horizontal line 横线 ；水平线horizontal range 水平射程hyperbola 双曲线hyperbolic function 双曲函数hypergeometric distribution 超几何分布hypocycloid 内摆线hypotenuse 斜边hypothesis 假设hypothesis testing 假设检验hypothetical syllogism 假设三段论hypotrochoid 次内摆线idempotent 全幂等的identical 全等；恒等identity 等（式）identity element 单位元identity law 同一律identity mapping 恒等映射identity matrix 恒等矩阵identity relation 恒等关系式if and only if/iff 当且仅当；若且仅若if…, then 若….则；如果…..则illustration 例证；说明image 像点；像image axis 虚轴imaginary circle 虚圆imaginary number 虚数imaginary part 虚部imaginary root 虚根imaginary unit 虚数单位impact 碰撞implication 蕴涵式；蕴含式implicit definition 隐定义implicit function 隐函数imply 蕴涵；蕴含impossible event 不可能事件improper fraction 假分数improper integral 广义积分; 非正常积分impulse 冲量impulsive force 冲力incentre 内力incircle 内切圆inclination 倾角；斜角inclined plane 斜面included angle 夹角included side 夹边inclusion mapping 包含映射inclusive 包含的；可兼的inclusive disjunction 包含性析取；可兼析取inconsistent 不相的(的)；不一致(的) increase 递增；增加increasing function 递增函数increasing sequence 递增序列increasing series 递增级数increment 增量indefinite integral 不定积分idenfinite integration 不定积分法independence 独立；自变independent equations 独立方程independent event 独立事件independent variable 自变量；独立变量indeterminate (1)不定的；(2)不定元；未定元indeterminate coefficient 不定系数；未定系数indeterminate form 待定型；不定型index,indices 指数；指index notation 指数记数法induced operation 诱导运算induction hypothesis 归纳法假设inelastic collision 非弹性碰撞inequality 不等式；不等inequality sign 不等号inertia 惯性；惯量infer 推断inference 推论infinite 无限；无穷infinite dimensional 无限维infinite population 无限总体infinite sequence 无限序列；无穷序列infinite series 无限级数；无穷级数infinitely many 无穷多infinitesimal 无限小；无穷小infinity 无限(大)；无穷(大)inflection (inflexion) point 拐点；转折点inherent error 固有误差initial approximation 初始近似值initial condition 原始条件；初值条件initial point 始点；起点initial side 始边initial value 初值；始值initial velocity 初速度initial-value problem 初值问题injection 内射injective function 内射函数inner product 内积input 输入input box 输入inscribed circle 内切圆insertion 插入insertion of brackets 加括号instantaneous 瞬时的instantaneous acceleration 瞬时加速度instantaneous speed 瞬时速率instantaneous velocity 瞬时速度integer 整数integrable 可积integrable function 可积函数integral 积分integral index 整数指数integral mean value theorem 积数指数integral part 整数部份integral solution 整数解integral value 整数值integrand 被积函数integrate 积；积分；......的积分integrating factor 积分因子integration 积分法integration by parts 分部积分法integration by substitution 代换积分法；换元积分法integration constant 积分常数interaction 相互作用intercept 截距；截段intercept form 截距式intercept theorem 截线定理interchange 互换interest 利息interest rate 利率interest tax 利息税interior angle 内角interior angles on the same side of the transversal 同旁内角interior opposite angle 内对角intermediate value theorem 介值定理internal bisector 内分角internal division 内分割internal energy 内能internal force 内力internal point of division 内分点interpolating polynomial 插值多项式interpolation 插值inter-quartile range 四分位数间距intersect 相交intersection (1)交集；(2)相交；(3)交点interval 区间interval estimation 区间估计；区域估计intuition 直观invalid 失效；无效invariance 不变性invariant (1)不变的；(2)不变量；不变式inverse 反的；逆的inverse circular function 反三角函数inverse cosine function 反余弦函数inverse function 反函数；逆函数inverse cosine function 反三角函数inverse function 反函数；逆映射inverse mapping 反向映射；逆映射inverse matrix 逆矩阵inverse problem 逆算问题inverse proportion 反比例；逆比例inverse relation 逆关系inverse sine function 反正弦函数inverse tangent function 反正切函数inverse variation 反变(分)；逆变(分)invertible 可逆的invertible matrix 可逆矩阵irrational equation 无理方程irrational number 无理数irreducibility 不可约性irregular 不规则isomorphism 同构isosceles triangle 等腰三角形iterate (1)迭代值; (2)迭代iteration 迭代iteration form 迭代形iterative function 迭代函数iterative method 迭代法jet propulsion 喷气推进joint variation 联变(分)；连变(分)kinetic energy 动能kinetic friction 动摩擦known 己知L.H.S. 末项L'Hospital's rule 洛必达法则Lagrange interpolating polynomial 拉格朗日插值多项代Lagrange theorem 拉格朗日定理Lami's law 拉密定律Laplace expansion 拉普拉斯展式last term 末项latent root 本征根; 首通径lattice point 格点latus rectum 正焦弦; 首通径law 律；定律law of conservation of momentum 动量守恒定律law of indices 指数律；指数定律law of inference 推论律law of trichotomy 三分律leading coefficient 首项系数leading diagonal 主对角线least common multiple, lowest common multiple (L.C.M) 最小公倍数；最低公倍式least value 最小值left hand limit 左方极限lemma 引理lemniscate 双纽线length 长(度)letter 文字；字母like surd 同类根式like terms 同类项limacon 蜗牛线limit 极限limit of sequence 序列的极限limiting case 极限情况limiting friction 最大静摩擦limiting position 极限位置line 线；行line of action 作用力线line of best-fit 最佳拟合line of greatest slope 最大斜率的直 ；最大斜率line of intersection 交线line segment 线段linear 线性；一次linear convergence 线性收敛性linear differeantial equation 线性微分方程linear equation 线性方程；一次方程linear equation in two unknowns 二元一次方程；二元线性方程linear inequality 一次不等式；线性不等式linear momentum 线动量linear programming 线性规划linearly dependent 线性相关的linearly independent 线性无关的literal coefficient 文字系数literal equation 文字方程load 负荷loaded coin 不公正钱币loaded die 不公正骰子local maximum 局部极大(值)local minimum 局部极小(值)locus, loci 轨迹logarithm 对数logarithmic equation 对数方程logarithmic function 对数函数logic 逻辑logical deduction 逻辑推论；逻辑推理logical step 逻辑步骤long division method 长除法loop 回路loss 赔本；亏蚀loss per cent 赔率；亏蚀百分率lower bound 下界lower limit 下限lower quartile 下四分位数lower sum 下和lower triangular matrix 下三角形矩阵lowest common multiple(L.C.M) 最小公倍数machine 机械Maclaurin expansion 麦克劳林展开式Maclaurin series 麦克劳林级数magnitude 量；数量；长度；大小major arc 优弧；大弧major axis 长轴major sector 优扇形；大扇形major segment 优弓形；大弓形mantissa 尾数mantissa of logarithm 对数的尾数；对数的定值部many to one 多个对一个many-sided figure 多边形many-valued 多值的map into 映入map onto 映上mapping 映射marked price 标价Markov chain 马可夫链mass 质量mathematical analysis 数学分析mathematical induction 数学归纳法mathematical sentence 数句mathematics 数学matrix 阵; 矩阵matrix addition 矩阵加法matrix equation 矩阵方程matrix multiplication 矩阵乘法matrix operation 矩阵运算maximize 极大maximum absolute error 最大绝对误差maximum point 极大点maximum value 极大值mean 平均(值)；平均数；中数mean deviation 中均差；平均偏差mean value theorem 中值定理measure of dispersion 离差的量度measurement 量度mechanical energy 机械能median (1)中位数；(2)中线meet 相交；相遇mensuration 计量；求积法method 方法method of completing square 配方法method of interpolation 插值法; 内插法method of least squares 最小二乘法; 最小平方法method of substitution 代换法；换元法method of successive substitution 逐次代换法; 逐次调替法method of superposition 迭合法metric unit 十进制单位mid-point 中点mid-point formula 中点公式mid-point theorem 中点定理million 百万minimize 极小minimum point 极小点minimum value 极小值Minkowski Inequality 闵可夫斯基不等式minor (1)子行列式；(2)劣；较小的minor arc 劣弧；小弧minor axis 短轴minor of a determinant 子行列式minor sector 劣扇形；小扇形minor segment 劣弓形；小弓形minus 减minute 分mixed number(fraction) 带分数modal class 众数组mode 众数model 模型modulo (1)模; 模数; (2)同余modulo arithmetic 同余算术modulus 模; 模数modulus of a complex number 复数的模modulus of elasticity 弹性模(数)moment arm (1)矩臂; (2)力臂moment of a force 力矩moment of inertia 贯性矩momentum 动量monomial 单项式monotone 单调monotonic convergence 单调收敛性monotonic decreasing 单调递减monotonic decreasing function 单调递减函数monotonic function 单调函数monotonic increasing 单调递增monotonic increasing function 单调递增函数motion 运动movable pulley 动滑轮multinomial 多项式multiple 倍数multiple angle 倍角multiple-angle formula 倍角公式multiple root 多重根multiplicand 被乘数multiplication 乘法multiplication law (of probability) (概率)乘法定律multiplicative inverse 乘法逆元multiplicative property 可乘性multiplicity 重数multiplier 乘数；乘式multiply 乘multi-value 多值的mulually disjoint 互不相交mutually exclusive events 互斥事件mutually independent 独立; 互相独立mutually perpendicular lines 互相垂直n factorial n阶乘n th derivative n阶导数n th root n次根；n次方根n the root of unity 单位的n次根Napierian logarithm 纳皮尔对数; 自然对数natural logarithm 自然对数natural number 自然数natural surjection 自然满射necessary and sufficient condition 充要条件necessary condition 必要条件negation 否定式negative 负negative angle 负角negative binomial distribution 负二项式分布negative index 负指数negative integer 负整数negative number 负数negative vector 负向量; 负矢量neighborhood 邻域net 净(值)net force 净力Newton-Cote's rule 牛顿- 高斯法则Newton-Raphson's method 牛顿- 纳逊方法Newton's formula 牛顿公式Newton's law of motion 牛顿运动定律Newton's method 牛顿方法n-gon n边形nonagon 九边形non-collinear 不共线non-commutative 非交换的。
高等数学名词（中英文）
高等数学名词（中英文）高等数学名词(中英文)第一章函数与极限Chapter1 Function and Limit 集合set元素element子集subset空集empty set并集union交集intersection差集difference of set基本集basic set补集complement set直积direct product笛卡儿积Cartesian product开区间open interval闭区间closed interval半开区间half open interval有限区间finite interval区间的长度length of an interval无限区间infinite interval领域neighborhood领域的中心centre of a neighborhood 领域的半径radius of a neighborhood 左领域left neighborhood右领域right neighborhood映射mappingX到Y的映射mapping of X ontoY 满射surjection单射injection一一映射one-to-one mapping双射bijection算子operator变化transformation函数function逆映射inverse mapping复合映射composite mapping自变量independent variable 因变量dependent variable定义域domain函数值value of function函数关系function relation值域range自然定义域natural domain单值函数single valued function多值函数multiple valued function单值分支one-valued branch函数图形graph of a function绝对值函数absolute value符号函数sigh function整数部分integral part阶梯曲线step curve当且仅当if and only if(iff)分段函数piecewise function上界upper bound下界lower bound有界boundedness无界unbounded函数的单调性monotonicity of a function 单调增加的increasing单调减少的decreasing单调函数monotone function函数的奇偶性parity(odevity) of a function 对称symmetry偶函数even function奇函数odd function函数的周期性periodicity of a function周期period反函数inverse function直接函数direct function复合函数composite function中间变量intermediate variable函数的运算operation of function基本初等函数basic elementary function 初等函数elementary function幂函数power function指数函数exponential function对数函数logarithmic function三角函数trigonometric function反三角函数inverse trigonometric function 常数函数constant function双曲函数hyperbolic function双曲正弦hyperbolic sine双曲余弦hyperbolic cosine双曲正切hyperbolic tangent反双曲正弦inverse hyperbolic sine反双曲余弦inverse hyperbolic cosine反双曲正切inverse hyperbolic tangent极限limit数列sequence of number收敛convergence收敛于a converge to a发散divergent极限的唯一性uniqueness of limits收敛数列的有界性boundedness of a convergent sequence子列subsequence函数的极限limits of functions函数当x趋于x0时的极限limit of functions as x approaches x0左极限left limit右极限right limit单侧极限one-sided limits水平渐近线horizontal asymptote无穷小infinitesimal无穷大infinity铅直渐近线vertical asymptote夹逼准则squeeze rule单调数列monotonic sequence高阶无穷小infinitesimal of higher order低阶无穷小infinitesimal of lower order同阶无穷小infinitesimal of the same order等阶无穷小equivalent infinitesimal 函数的连续性continuity of a function增量increment函数在x0连续the function is continuous at x0左连续left continuous右连续right continuous区间上的连续函数continuous function函数在该区间上连续function is continuous on an interval不连续点discontinuity point第一类间断点discontinuity point of the first kind第二类间断点discontinuity point of the second kind初等函数的连续性continuity of the elementary functions定义区间defined interval最大值global maximum value (absolute maximum)最小值global minimum value (absolute minimum)零点定理the zero point theorem介值定理intermediate value theorem第二章导数与微分Chapter2 Derivative and Differential速度velocity匀速运动uniform motion平均速度average velocity瞬时速度instantaneous velocity圆的切线tangent line of a circle切线tangent line切线的斜率slope of the tangent line位置函数position function导数derivative可导derivable函数的变化率问题problem of the change rate of a function 导函数derived function左导数left-hand derivative右导数right-hand derivative单侧导数one-sided derivatives在闭区间[a, b]上可导is derivable on the closed interval [a,b] 切线方程tangent equation角速度angular velocity成本函数cost function边际成本marginal cost链式法则chain rule隐函数implicit function显函数explicit function二阶函数second derivative三阶导数third derivative高阶导数nth derivative莱布尼茨公式Leibniz formula对数求导法log- derivative参数方程parametric equation相关变化率correlative change rata微分differential可微的differentiable函数的微分differential of function自变量的微分differential of independent variable微商differential quotient间接测量误差indirect measurement error绝对误差absolute error相对误差relative error第三章微分中值定理与导数的应用Chapter3 Mean Value Theorem ofDifferentials and the Application ofDerivatives罗马定理Rolle’s theorem费马引理Fermat’s lemma拉格朗日中值定理Lagrange’s mean value theorem驻点stationary point稳定点stable point 临界点critical point辅助函数auxiliary function拉格朗日中值公式Lagrange’s mean value formula柯西中值定理Cauchy’s mean value theorem 洛必达法则L’Hospital’s Rule0/0型不定式indeterminate form of type 0/0 不定式indeterminate form泰勒中值定理Taylor’s mean value theorem 泰勒公式T aylorformula余项remainder term拉格朗日余项Lagrange remainder term麦克劳林公式Ma claurin’s formula佩亚诺公式Peano remainder term凹凸性concavity凹向上的concave upward, cancave up凹向下的，向上凸的concave downward’ concave down 拐点inflection point函数的极值extremum of function极大值local(relative) maximum最大值global(absolute) mximum极小值local(relative) minimum最小值global(absolute) minimum目标函数objective function曲率curvature弧微分arc differential平均曲率average curvature曲率园circle of curvature曲率中心center of curvature曲率半径radius of curvature渐屈线evolute渐伸线involute根的隔离isolation of root隔离区间isolation interval切线法tangent line method第四章不定积分Chapter4 Indefinite Integrals原函数primitive function(anti-derivative)积分号sign of integration被积函数integrand积分变量integral variable积分曲线integral curve积分表table of integrals换元积分法integration by substitution分部积分法integration by parts分部积分公式formula of integration by parts 有理函数rational function真分式proper fraction假分式improper fraction第五章定积分Chapter5 Definite Integrals曲边梯形trapezoid with曲边curve edge窄矩形narrow rectangle曲边梯形的面积area of trapezoid with curved edge积分下限lower limit of integral积分上限upper limit of integral积分区间integral interval分割partition积分和integral sum可积integrable矩形法rectangle method积分中值定理mean value theorem of integrals函数在区间上的平均值average value of a function on an integvals牛顿－莱布尼茨公式Newton-Leibniz formula微积分基本公式fundamental formula of calculus换元公式formula for integration by substitution递推公式recurrence formula反常积分improper integral 反常积分发散the improper integral is divergent反常积分收敛the improper integral is convergent无穷限的反常积分improper integral on an infinite interval无界函数的反常积分improper integral of unbounded functions绝对收敛absolutely convergent第六章定积分的应用Chapter6 Applications of the DefiniteIntegrals元素法the element method面积元素element of area平面图形的面积area of a luane figure直角坐标又称“笛卡儿坐标(Cartesian coordinates)”极坐标polar coordinates抛物线parabola椭圆ellipse旋转体的面积volume of a solid of rotation旋转椭球体ellipsoid of revolution, ellipsoid of rotation曲线的弧长arc length of acurve可求长的rectifiable光滑smooth功work水压力water pressure引力gravitation变力variable force第七章空间解析几何与向量代数Chapter7 Space Analytic Geometry andVector Algebra向量vector自由向量free vector单位向量unit vector零向量zero vector相等equal平行parallel向量的线性运算linear poeration of vector三角法则triangle rule平行四边形法则parallelogram rule交换律commutative law结合律associative law负向量negative vector差difference分配律distributive law空间直角坐标系space rectangular coordinates坐标面coordinate plane卦限octant向量的模modulus of vector向量a与b的夹角angle between vector a and b方向余弦direction cosine方向角direction angle向量在轴上的投影projection of a vector onto an axis数量积，外积，叉积scalar product,dot product,inner product 曲面方程equation for a surface球面sphere旋转曲面surface of revolution母线generating line轴axis圆锥面cone顶点vertex旋转单叶双曲面revolution hyperboloids of one sheet旋转双叶双曲面revolution hyperboloids of two sheets柱面cylindrical surface ,cylinder圆柱面cylindrical surface准线directrix抛物柱面parabolic cylinder二次曲面quadric surface 椭圆锥面dlliptic cone椭球面ellipsoid单叶双曲面hyperboloid of one sheet双叶双曲面hyperboloid of two sheets旋转椭球面ellipsoid of revolution椭圆抛物面elliptic paraboloid旋转抛物面paraboloid of revolution双曲抛物面hyperbolic paraboloid马鞍面saddle surface椭圆柱面elliptic cylinder双曲柱面hyperbolic cylinder抛物柱面parabolic cylinder空间曲线space curve空间曲线的一般方程general form equations of a space curve 空间曲线的参数方程parametric equations of a space curve 螺转线spiral螺矩pitch投影柱面projecting cylinder投影projection平面的点法式方程pointnorm form eqyation of a plane法向量normal vector平面的一般方程general form equation of a plane两平面的夹角angle between two planes点到平面的距离distance from a point to a plane空间直线的一般方程general equation of a line in space方向向量direction vector直线的点向式方程pointdirection form equations of a line方向数direction number直线的参数方程parametric equations of a line两直线的夹角angle between two lines垂直perpendicular直线与平面的夹角angle between a line and a planes平面束pencil of planes平面束的方程equation of a pencil of planes 行列式determinant系数行列式coefficient determinant第八章多元函数微分法及其应用Chapter8 Differentiation of Functions ofSeveral Variables and Its Application一元函数function of one variable多元函数function of several variables内点interior point外点exterior point边界点frontier point,boundary point聚点point of accumulation开集openset闭集closed set连通集connected set开区域open region闭区域closed region有界集bounded set无界集unbounded setn维空间n-dimentional space二重极限double limit多元函数的连续性continuity of function of seveal连续函数continuous function不连续点discontinuity point一致连续uniformly continuous偏导数partial derivative对自变量x的偏导数partial derivative with respect to independent variable x高阶偏导数partial derivative of higher order 二阶偏导数second order partial derivative混合偏导数hybrid partial derivative全微分total differential偏增量oartial increment偏微分partial differential 全增量total increment可微分differentiable必要条件necessary condition充分条件sufficient condition叠加原理superpostition principle全导数total derivative中间变量intermediate variable隐函数存在定理theorem of the existence of implicit function 曲线的切向量tangent vector of a curve法平面normal plane向量方程vector equation向量值函数vector-valued function切平面tangent plane法线normal line方向导数directional derivative梯度gradient数量场scalar field梯度场gradient field向量场vector field势场potential field引力场gravitational field引力势gravitational potential曲面在一点的切平面tangent plane to a surface at a point曲线在一点的法线normal line to a surface at a point无条件极值unconditional extreme values条件极值conditional extreme values拉格朗日乘数法Lagrange multiplier method 拉格朗日乘子Lagrange multiplier经验公式empirical formula最小二乘法method of least squares均方误差mean square error第九章重积分Chapter9 Multiple Integrals二重积分double integral可加性additivity累次积分iterated integral体积元素volume element三重积分triple integral直角坐标系中的体积元素volume element in rectangular coordinate system柱面坐标cylindrical coordinates柱面坐标系中的体积元素volume element in cylindrical coordinate system球面坐标spherical coordinates球面坐标系中的体积元素volume element in spherical coordinate system反常二重积分improper double integral曲面的面积area of a surface质心centre of mass静矩static moment密度density形心centroid转动惯量moment of inertia参变量parametric variable第十章曲线积分与曲面积分Chapter10 Line (Curve) Integrals andSurface Integrals对弧长的曲线积分line integrals with respect to arc hength第一类曲线积分line integrals of the first type对坐标的曲线积分line integrals with respect to x,y,and z第二类曲线积分line integrals of the second type有向曲线弧directed arc单连通区域simple connected region复连通区域complex connected region格林公式Green formula第一类曲面积分surface integrals of the first type对面的曲面积分surface integrals with respect to area 有向曲面directed surface对坐标的曲面积分surface integrals with respect to coordinate elements第二类曲面积分surface integrals of the second type有向曲面元element of directed surface高斯公式gauss formula拉普拉斯算子Laplace operator格林第一公式Green’s first formula通量flux散度divergence斯托克斯公式Stokes formula环流量circulation旋度rotation,curl第十一章无穷级数Chapter11 Infinite Series一般项general term部分和partial sum余项remainder term等比级数geometric series几何级数geometric series公比common ratio调和级数harmonic series柯西收敛准则Cauchy convergence criteria, Cauchy criteria for convergence正项级数series of positive terms达朗贝尔判别法D’Alembert test柯西判别法Cauchy test交错级数alternating series绝对收敛absolutely convergent条件收敛conditionally convergent柯西乘积Cauchy product函数项级数series of functions发散点point of divergence收敛点point of convergence收敛域convergence domain和函数sum function幂级数power series幂级数的系数coeffcients of power series阿贝尔定理Abel Theorem收敛半径radius of convergence收敛区间interval of convergence泰勒级数Taylor series麦克劳林级数Maclaurin series二项展开式binomial expansion近似计算approximate calculation舍入误差round-off error,rounding error欧拉公式Euler’s formula魏尔斯特拉丝判别法Weierstrass test三角级数trigonometric series振幅amplitude角频率angular frequency初相initial phase矩形波square wave谐波分析harmonic analysis直流分量direct component基波fundamental wave二次谐波second harmonic三角函数系trigonometric function system傅立叶系数Fourier coefficient傅立叶级数Forrier series周期延拓periodic prolongation正弦级数sine series余弦级数cosine series奇延拓odd prolongation偶延拓even prolongation傅立叶级数的复数形式complex form of Fourier series第十二章微分方程Chapter12 Differential Equation解微分方程solve a differential equation常微分方程ordinary differential equation偏微分方程partial differential equation,PDE 微分方程的阶order of a differential equation 微分方程的解solution of adifferential equation 微分方程的通解general solution of a differential equation初始条件initial condition微分方程的特解particular solution of a differential equation 初值问题initial value problem微分方程的积分曲线integral curve of a differential equation 可分离变量的微分方程variable separable differential equation 隐式解implicit solution隐式通解inplicit general solution衰变系数decay coefficient衰变decay齐次方程homogeneous equation一阶线性方程linear differential equation of first order非齐次non-homogeneous齐次线性方程homogeneous linear equation 非齐次线性方程non-homogeneous linear equation常数变易法method of variation of constant 暂态电流transient state current稳态电流steady state current伯努利方程Bernoulli equation全微分方程total differential equation积分因子integrating factor高阶微分方程differential equation of higher order悬链线catenary高阶线性微分方程linear differential equation of higher order 自由振动的微分方程differential equation of free vibration强迫振动的微分方程differential equation of forced oscillation 串联电路的振荡方程oscillation equation of series circuit二阶线性微分方程second order lineardifferential equation线性相关linearly dependence线性无关linearly independence二阶常系数齐次线性微分方程second order homogeneous linear differential equation with constant coefficient二阶变系数齐次线性微分方程second order homogeneous linear differential equation with variable coefficient特征方程characteristic equation无阻尼自由振动的微分方程differential equation of free vibration with zero damping 固有频率natural frequency 简谐振动simple harmonic oscillation,simple harmonic vibration 微分算子differential operator待定系数法method of undetermined coefficient共振现象resonance phenomenon欧拉方程Euler equation幂级数解法power series solution数值解法numerial solution勒让德方程Legendre equation微分方程组system of differential equations常系数线性微分方程组system of linear differential equations with constant coefficientV、X、Z:Value of function ：函数值Variable ：变数Vector ：向量Velocity ：速度Vertical asymptote ：垂直渐近线Volume ：体积X-axis ：x轴x-coordinate ：x坐标x-intercept ：x截距Zero vector ：函数的零点Zeros of a polynomial ：多项式的零点T:Tangent function ：正切函数Tangent line ：切线Tangent plane ：切平面Tangent vector ：切向量Total differential ：全微分Trigonometric function ：三角函数Trigonometric integrals ：三角积分Trigonometric substitutions ：三角代换法Tripe integrals ：三重积分S:Saddle point ：鞍点Scalar ：纯量Secant line ：割线Second derivative ：二阶导数Second Derivative Test ：二阶导数试验法Second partial derivative ：二阶偏导数Sector ：扇形Sequence ：数列Series ：级数Set ：集合Shell method ：剥壳法Sine function ：正弦函数Singularity ：奇点Slant asymptote ：斜渐近线Slope ：斜率Slope-intercept equation of a line ：直线的斜截式Smooth curve ：平滑曲线Smooth surface ：平滑曲面Solid of revolution ：旋转体Space ：空间Speed ：速率Spherical coordinates ：球面坐标Squeeze Theorem ：夹挤定理Step function ：阶梯函数Strictly decreasing ：严格递减Strictly increasing ：严格递增Sum ：和Surface ：曲面Surface integral ：面积分Surface of revolution ：旋转曲面Symmetry ：对称R:Radius of convergence ：收敛半径Range of a function ：函数的值域Rate of change ：变化率Rational function ：有理函数Rationalizing substitution ：有理代换法Rational number ：有理数Real number ：实数Rectangular coordinates ：直角坐标Rectangular coordinate system ：直角坐标系Relative maximum and minimum ：相对极大值与极小值Revenue function ：收入函数Revolution , solid of ：旋转体Revolution , surface of ：旋转曲面Riemann Sum ：黎曼和Riemannian geometry ：黎曼几何Right-hand derivative ：右导数Right-hand limit ：右极限Root ：根P、Q:Parabola ：拋物线Parabolic cylinder ：抛物柱面Paraboloid ：抛物面Parallelepiped ：平行六面体Parallel lines ：并行线Parameter ：参数Partial derivative ：偏导数Partial differential equation ：偏微分方程Partial fractions ：部分分式Partial integration ：部分积分Partiton ：分割Period ：周期Periodic function ：周期函数Perpendicular lines ：垂直线Piecewise defined function 分段定义函数Plane ：平面Point of inflection ：反曲点Polar axis ：极轴Polar coordinate ：极坐标Polar equation ：极方程式Pole ：极点Polynomial ：多项式Positive angle ：正角Point-slope form ：点斜式Power function ：幂函数Product ：积Quadrant ：象限Quotient Law of limit 极限的商定律Quotient Rule ：商定律M、N、O:Maximum and minimum values ：极大与极小值Mean Value Theorem ：均值定理Multiple integrals ：重积分Multiplier ：乘子Natural exponential function 自然指数函数Natural logarithm function 自然对数函数Natural number ：自然数Normal line ：法线Normal vector ：法向量Number ：数Octant ：卦限Odd function ：奇函数One-sided limit ：单边极限Open interval ：开区间Optimization problems ：最佳化问题Order ：阶Ordinary differential equation ：常微分方程Origin ：原点Orthogonal ：正交的L:Laplace transform ：Leplace 变换Law of Cosines ：余弦定理Least upper bound ：最小上界Left-hand derivative ：左导数Left-hand limit ：左极限Lemniscate ：双钮线Length ：长度Level curve ：等高线L'Hospital's rule 洛必达法则Limacon ：蚶线Limit ：极限Linear approximation：线性近似Linear equation ：线性方程式Linear function ：线性函数Linearity ：线性Linearization ：线性化Line in the plane ：平面上之直线Line in space ：空间之直线Lobachevski geometry 罗巴切夫斯基几何Local extremum ：局部极值Local maximum and minimum 局部极大值与极小值Logarithm ：对数Logarithmic function ：对数函数I:Implicit differentiation ：隐求导法Implicit function ：隐函数Improper integral ：瑕积分Increasing/Decreasing Test 递增或递减试验法Increment ：增量Increasing Function ：增函数Indefinite integral ：不定积分Independent variable ：自变数Indeterminate from ：不定型Inequality ：不等式Infinite point ：无穷极限Infinite series ：无穷级数Inflection point ：反曲点Instantaneous velocity ：瞬时速度Integer ：整数Integral ：积分Integrand ：被积分式Integration ：积分Integration by part ：分部积分法Intercepts ：截距Intermediate value of Theorem 中间值定理Interval ：区间Inverse function ：反函数Inverse trigonometric function反三角函数Iterated integral ：逐次积分H:Higher mathematics 高等数学/高数E、F、G、H:Ellipse ：椭圆Ellipsoid ：椭圆体Epicycloid ：外摆线Equation ：方程式Even function ：偶函数Expected Valued ：期望值Exponential Function ：指数函数Exponents , laws of ：指数率Extreme value ：极值Extreme Value Theorem ：极值定理Factorial ：阶乘First Derivative Test ：一阶导数试验法First octant ：第一卦限Focus ：焦点Fractions ：分式Function ：函数Fundamental Theorem of Calculus ：微积分基本定理Geometric series ：几何级数Gradient ：梯度Graph ：图形Green Formula ：格林公式Half-angle formulas ：半角公式Harmonic series ：调和级数Helix ：螺旋线Higher Derivative ：高阶导数Horizontal asymptote ：水平渐近线Horizontal line ：水平线Hyperbola ：双曲线Hyper boloid ：双曲面D:Decreasing function ：递减函数Decreasing sequence ：递减数列Definite integral ：定积分Degree of a polynomial ：多项式之次数Density ：密度Derivative ：导数of a composite function ：复合函数之导数of a constant function ：常数函数之导数directional ：方向导数domain of ：导数之定义域of exponential function ：指数函数之导数higher ：高阶导数partial ：偏导数of a power function ：幂函数之导数of a power series ：羃级数之导数of a product ：积之导数of a quotient ：商之导数as a rate of change ：导数当作变率right-hand ：右导数second ：二阶导数as the slope of a tangent 导数看成切线之斜率Determinant ：行列式Differentiable function 可导函数Differential ：微分Differential equation ：微分方程partial ：偏微分方程Differentiation ：求导法implicit ：隐求导法partial ：偏微分法term by term ：逐项求导法Directional derivatives ：方向导数Discontinuity ：不连续性Disk method ：圆盘法Distance ：距离Divergence ：发散Domain ：定义域Dot product ：点积Double integral ：二重积分change of variable in二重积分之变数变换in polar coordinates ：极坐标二重积分C:Calculus ：微积分differential ：微分学integral ：积分学Cartesian coordinates ：笛卡儿坐标一般指直角坐标Cartesian coordinates system 笛卡儿坐标系Cauch’s Mean Value Theorem 柯西均值定理Chain Rule ：连锁律Change of variables ：变数变换Circle ：圆Circular cylinder ：圆柱Closed interval ：封闭区间Coefficient ：系数Composition of function ：函数之合成Compound interest ：复利Concavity ：凹性Conchoid ：蚌线Cone ：圆锥Constant function ：常数函数Constant of integration ：积分常数Continuity ：连续性at a point ：在一点处之连续性of a function ：函数之连续性on an interval ：在区间之连续性from the left ：左连续from the right ：右连续Continuous function ：连续函数Convergence ：收敛interval of ：收敛区间radius of ：收敛半径Convergent sequence ：收敛数列series ：收敛级数Coordinate：s：坐标Cartesian ：笛卡儿坐标cylindrical ：柱面坐标polar ：极坐标rectangular ：直角坐标spherical ：球面坐标Coordinate axes ：坐标轴Coordinate planes ：坐标平面Cosine function ：余弦函数Critical point ：临界点Cubic function ：三次函数Curve ：曲线Cylinder：圆柱Cylindrical Coordinates ：圆柱坐标A、B:Absolute convergence ：绝对收敛Absolute extreme values ：绝对极值Absolute maximum and minimum 绝对极大与极小Absolute value ：绝对值Absolute value function ：绝对值函数Acceleration ：加速度Antiderivative ：反导数Approximate integration ：近似积分Approximation ：逼近法by differentials ：用微分逼近linear ：线性逼近法by Simpson’s Rule ：Simpson法则逼近法by the Trapezoidal Rule 梯形法则逼近法Arbitrary constant ：任意常数Arc length ：弧长Area ：面积under a curve ：曲线下方之面积between curves ：曲线间之面积in polar coordinates ：极坐标表示之面积of a sector of a circle ：扇形之面积of a surface of a revolution 旋转曲面之面积Asymptote ：渐近线horizontal ：水平渐近线slant ：斜渐近线vertical ：垂直渐近线Average speed ：平均速率Average velocity ：平均速度Axes, coordinate ：坐标轴Axes of ellipse ：椭圆之轴Binomial series ：二项级数微积分专有名词中英文对照absolutely convergent 绝对收敛absolute value 绝对值algebraic function 代数函数analytic geometry 解析几何antiderivative 不定积分approximate integration 近似积分approximation 近似法、逼近法arbitrary constant 任意常数arithmetic series/progression (AP)算数级数asymptotes (vertical and horizontal)(垂直/水平)渐近线average rate of change 平均变化率base 基数binomial theorem 二项式定理，二项展开式Cartesian coordinates 笛卡儿坐标(一般指直角坐标)Cartesian coordinates system 笛卡儿坐标系Cauch’s Mean Value Theorem 柯西均值定理chain rule 链式求导法则calculus 微积分学closed interval integral 闭区间积分coefficient 系数composite function 复合函数conchoid 蚌线continuity (函数的)连续性concavity (函数的)凹凸性conditionally convergent 有条件收敛continuity 连续性critical point 临界点cubic function 三次函数cylindrical coordinates 圆柱坐标decreasing function 递减函数decreasing sequence 递减数列definite integral 定积分derivative 导数determinant 行列式differential coefficient 微分系数differential equation 微分方程directional derivative 方向导数discontinuity 不连续性discriminant (二次函数)判别式disk method 圆盘法divergence 散度divergent 发散的domain 定义域dot product 点积double integral 二重积分ellipse 椭圆ellipsoid 椭圆体epicycloid 外摆线Euler's method (BC)欧拉法expected valued 期望值exponential function 指数函数extreme value heorem 极值定理factorial 阶乘finite series 有限级数fundamental theorem of calculus 微积分基本定理geometric series/progression (GP)几何级数gradient 梯度Green formula 格林公式half-angle formulas 半角公式harmonic series 调和级数helix 螺旋线higher derivative 高阶导数horizontal asymptote 水平渐近线horizontal line 水平线hyperbola 双曲线hyper boloid 双曲面implicit differentiation 隐函数求导implicit function 隐函数improper integral 广义积分、瑕积分increment 增量increasing function 增函数indefinite integral 不定积分independent variable 自变数inequality 不等式ndeterminate form 不定型infinite point 无穷极限infinite series 无穷级数infinite series 无限级数inflection point (POI) 拐点initial condition 初始条件instantaneous rate of change 瞬时变化率integrable 可积的integral 积分integrand 被积分式integration 积分integration by part 分部积分法intercept 截距intermediate value of Theorem ：中间值定理inverse function 反函数irrational function 无理函数iterated integral 逐次积分Laplace transform 拉普拉斯变换law of cosines 余弦定理least upper bound 最小上界left-hand derivative 左导数left-hand limit 左极限L'Hospital's rule 洛必达法则limacon 蚶线linear approximation 线性近似法linear equation 线性方程式linear function 线性函数linearity 线性linearization 线性化local maximum 极大值local minimum 极小值logarithmic function 对数函数MacLaurin series 麦克劳林级数maximum 最大值mean value theorem (MVT)中值定理minimum 最小值method of lagrange multipliers 拉格朗日乘数法modulus 绝对值multiple integral 多重积分multiple 倍数multiplier 乘子octant 卦限open interval integral 开区间积分optimization 优化法，极值法origin 原点orthogonal 正交parametric equation (BC)参数方程partial derivative 偏导数partial differential equation 偏微分方程partial fractions 部分分式piece-wise function 分段函数parabola 抛物线parabolic cylinder 抛物柱面paraboloid ：抛物面parallelepiped 平行六面体parallel lines 并行线parameter ：参数partial integration 部分积分partiton ：分割period ：周期periodic function 周期函数perpendicular lines 垂直线piecewise defined function 分段定义函数plane 平面point of inflection 反曲点point-slope form 点斜式polar axis 极轴polar coordinates 极坐标polar equation 极坐标方程pole 极点polynomial 多项式power series 幂级数product rule 积的求导法则quadrant 象限quadratic functions 二次函数quotient rule 商的求导法则radical 根式radius of convergence 收敛半径range 值域(related) rate of change with time (时间)变化率rational function 有理函数reciprocal 倒数remainder theorem 余数定理Riemann sum 黎曼和Riemannian geometry 黎曼几何right-hand limit 右极限Rolle's theorem 罗尔(中值)定理root 根rotation 旋转secant line 割线second derivative 二阶导数second derivative test 二阶导数试验法second partial derivative 二阶偏导数series 级数shell method (积分)圆筒法sine function 正弦函数singularity 奇点slant 母线slant asymptote 斜渐近线slope 斜率slope-intercept equation of a line 直线的斜截式smooth curve 平滑曲线smooth surface 平滑曲面solid of revolution 旋转体symmetry 对称性substitution 代入法、变量代换tangent function 正切函数tangent line 切线tangent plane 切(平)面tangent vector 切矢量taylor's series 泰勒级数three-dimensional analytic geometry 空间解析几何total differentiation 全微分trapezoid rule 梯形(积分)法则。
英语数学词汇
Algebraic Equation代数方程Elementary Operations-Addition基础混算-加法Elementary Operations-Subtaction基础混算-减法Elementary Operations-Multiplication 基础混算-乘法Elementary Operations-Division基础混算-除法Elementary Operation基础四则混算Decimal Operations小数混算Fractional Operations分数混算Convert fractional no. into decimal no. 分数转小数Convert fractional no. into percentage. 分数转百分数Convert decimal no. into percentage. 小数转百分数Convert percentage into decimal no. 百分数转小数Percentage百分数Numerals数字符号Common factors and multiples公因子及公倍数Sorting数字排序Area图形面积Perimeter图形周界Change Units : Time单位转换-时间Change Units : Weight单位转换-重量Change Units :Length单位转换-长度Directed Numbers有向数Fractional Operations分数混算Decimal Operations小数混算Convert fractional no. into decimal no. 分数转小数Convert fractional no. into percentage.分数转百分数Convert decimal no. into percentage.小数转百分数Convert percentage into decimal no.百分数转小数Percentage百分数Indices指数Algebraic Substitution代数代入Polynomials多项式Co-Geometry坐标几何学Solving Linear Equation解一元线性方程Solving Simultaneous Equation解联立方程Slope直线斜率Equation of Straight Line直线方程x-intercept ( Equation of St. Line )直线x轴截距y-intercept ( Equation of St. Line )直线y轴截距Factorization因式分解Quadratic Equation二次方程x-intercept ( Quadratic Equation )二次曲线x轴截距Geometry几何学Inequalities不等式Rate and Ratio比和比例Bearing方位角Trigonometry三角学Probability概率Statistics-Graph统计学-统计图表Statistics-Measure of central tendency统计学-量度集中趋势Salary Tax薪俸税Bridging Game汉英对对碰Indices指数Function函数Rate and Ratio比和比例Trigonometry三角学Inequalities不等式Linear Programming线性规划Co-Geometry坐标几何学Slope直线斜率Equation of Straight Line直线方程x-intercept ( Equation of St. Line )直线x轴截距y-intercept ( Equation of St. Line )直线y轴截距Factorization因式分解Quadratic Equation二次方程x-intercept ( Quadratic Equation )二次曲线x轴截距Method of Bisection分半方法Polynomials多项式Probability概率Statistics-Graph统计学-统计图表Statistics-Measure of central tendency统计学-量度集中趋势Statistics-Measure of dispersion统计学-量度分布Statistics-Normal Distribution统计学-正态分布Surds根式Probability概率Statistics-Measure of dispersion 统计学-量度离差Statistics-Normal Distribution统计学-正态分布Statistics-Binomial Distribution 统计学Statistics-Poisson Distribution 统计学Statistics-Geometric Distribution 统计学Co-Geometry坐标几何学Sequence序列十万Hundred thousand三位数3-digit number千Thousand千万Ten million小数Decimal分子Numerator分母Denominator分数Fraction五位数5-digit number公因子Common factor公倍数Common multiple中国数字Chinese numeral平方Square平方根Square root古代计时工具Ancient timing device古代记时工具Ancient time-recording device 古代记数方法Ancient counting method古代数字Ancient numeral包含Grouping四位数4-digit number四则计算Mixed operations (The four operations)加Plus加法Addition加法交换性质Commutative property of addition未知数Unknown百分数Percentage百万Million合成数Composite number多位数Large number因子Factor折扣Discount近似值Approximation阿拉伯数字Hindu-Arabic numeral定价Marked price括号Bracket计算器Calculator差Difference真分数Proper fraction退位Decomposition除Divide除法Division除数Divisor乘Multiply乘法Multiplication乘法交换性质Commutative property of multiplication乘法表Multiplication table乘法结合性质Associative property of multiplication被除数Dividend珠算Computation using Chinese abacus倍数Multiple假分数Improper fraction带分数mixed number现代计算工具Modern calculating devices售价Selling price万Ten thousand最大公因子Highest Common Factor (H.C.F.)最小公倍数Lowest Common Multiple (L.C.M.)减Minus / Subtract减少Decrease减法Subtraction等分Sharing等于Equal进位Carrying短除法Short division单数Odd number循环小数Recurring decimal零Zero算盘Chinese abacus亿Hundred million增加Increase质数Prime number积Product整除性Divisibility双数Even number罗马数字Roman numeral数学 mathematics, maths(BrE), math(AmE) 公理 axiom定理 theorem计算 calculation运算 operation证明 prove假设 hypothesis, hypotheses(pl.)命题 proposition算术 arithmetic加 plus(prep.), add(v.), addition(n.)被加数 augend, summand加数 addend和 sum减 minus(prep.), subtract(v.), subtraction(n.) 被减数 minuend减数 subtrahend差 remainder乘 times(prep.), multiply(v.), multiplication(n .)被乘数 multiplicand, faciend乘数 multiplicator积 product除 divided by(prep.), divide(v.), division(n.) 被除数 dividend除数 divisor商 quotient等于 equals, is equal to, is equivalent to大于 is greater than小于 is lesser than大于等于 is equal or greater than小于等于 is equal or lesser than运算符 operator平均数mean算术平均数arithmatic mean几何平均数geometric mean n个数之积的n 次方根倒数（reciprocal） x的倒数为1/x有理数 rational number无理数 irrational number实数 real number虚数 imaginary number数字 digit数 number自然数 natural number整数 integer小数 decimal小数点 decimal point分数 fraction分子 numerator分母 denominator比 ratio正 positive负 negative零 null, zero, nought, nil十进制 decimal system二进制 binary system十六进制 hexadecimal system权 weight, significance进位 carry截尾 truncation四舍五入 round下舍入 round down上舍入 round up有效数字 significant digit无效数字 insignificant digit代数 algebra公式 formula, formulae(pl.)单项式 monomial多项式 polynomial, multinomial系数 coefficient未知数 unknown, x-factor, y-factor, z-factor等式，方程式 equation一次方程 simple equation二次方程 quadratic equation三次方程 cubic equation四次方程 quartic equation不等式 inequation阶乘 factorial对数 logarithm指数，幂 exponent乘方 power二次方，平方 square三次方，立方 cube四次方 the power of four, the fourth powern次方 the power of n, the nth power开方 evolution, extraction二次方根，平方根 square root三次方根，立方根 cube root四次方根 the root of four, the fourth rootn次方根 the root of n, the nth rootsqrt(2)=1.414sqrt(3)=1.732sqrt(5)=2.236常量 constant变量 variable坐标系 coordinates坐标轴 x-axis, y-axis, z-axis横坐标 x-coordinate纵坐标 y-coordinate原点 origin象限quadrant截距(有正负之分)intercede（方程的）解solution几何geometry点 point线 line面 plane体 solid线段 segment射线 radial平行 parallel相交 intersect角 angle角度 degree弧度 radian锐角 acute angle直角 right angle钝角 obtuse angle平角 straight angle周角 perigon底 base边 side高 height三角形 triangle锐角三角形 acute triangle直角三角形 right triangle直角边 leg斜边 hypotenuse勾股定理 Pythagorean theorem钝角三角形 obtuse triangle不等边三角形 scalene triangle等腰三角形 isosceles triangle等边三角形 equilateral triangle四边形 quadrilateral平行四边形 parallelogram矩形 rectangle长 length宽 width周长 perimeter面积 area相似 similar全等 congruent三角 trigonometry正弦 sine余弦 cosine正切 tangent余切 cotangent正割 secant余割 cosecant反正弦 arc sine反余弦 arc cosine反正切 arc tangent反余切 arc cotangent反正割 arc secant反余割 arc cosecant补充：集合aggregate元素 element空集 void子集 subset交集 intersection并集 union补集 complement映射 mapping函数 function定义域 domain, field of definition 值域 range单调性 monotonicity奇偶性 parity周期性 periodicity图象 image数列，级数 series微积分 calculus微分 differential导数 derivative极限 limit无穷大 infinite(a.) infinity(n.)无穷小 infinitesimal积分 integral定积分 definite integral不定积分 indefinite integral复数 complex number矩阵 matrix行列式 determinant圆 circle 圆心 centre(BrE), center(AmE)半径 radius直径 diameter圆周率 pi弧 arc半圆 semicircle扇形 sector环 ring椭圆 ellipse圆周 circumference轨迹 locus, loca(pl.)平行六面体 parallelepiped立方体 cube七面体 heptahedron八面体 octahedron九面体 enneahedron十面体 decahedron十一面体 hendecahedron十二面体 dodecahedron二十面体 icosahedron多面体 polyhedron旋转 rotation轴 axis球 sphere半球 hemisphere底面 undersurface表面积 surface area体积 volume空间 space双曲线 hyperbola抛物线 parabola四面体 tetrahedron五面体 pentahedron六面体 hexahedron菱形 rhomb, rhombus, rhombi(pl.), diamond正方形 square梯形 trapezoid直角梯形 right trapezoid等腰梯形 isosceles trapezoid五边形 pentagon六边形 hexagon七边形 heptagon八边形 octagon九边形 enneagon十边形 decagon十一边形 hendecagon十二边形 dodecagon多边形 polygon正多边形 equilateral polygon相位 phase周期 period振幅 amplitude内心 incentre(BrE), incenter(AmE)外心 excentre(BrE), excenter(AmE)旁心 escentre(BrE), escenter(AmE)垂心 orthocentre(BrE), orthocenter(AmE)重心 barycentre(BrE), barycenter(AmE)内切圆 inscribed circle外切圆 circumcircle统计 statistics平均数 average加权平均数 weighted average方差 variance标准差 root-mean-square deviation, standard deviation比例 propotion百分比 percent百分点 percentage百分位数 percentile排列 permutation组合 combination概率，或然率 probability分布 distribution正态分布 normal distribution非正态分布 abnormal distribution图表 graph条形统计图 bar graph柱形统计图 histogram折线统计图 broken line graph曲线统计图 curve diagram扇形统计图 pie diagramEnglish Chineseabbreviation 简写符号；简写abscissa 横坐标absolute complement 绝对补集absolute error 绝对误差absolute inequality 绝不等式absolute maximum 绝对极大值absolute minimum 绝对极小值absolute monotonic 绝对单调absolute value 绝对值accelerate 加速acceleration 加速度acceleration due to gravity 重力加速度; 地心加速度accumulation 累积accumulative 累积的accuracy 准确度act on 施于action 作用; 作用力acute angle 锐角acute-angled triangle 锐角三角形add 加addition 加法addition formula 加法公式addition law 加法定律addition law(of probability) （概率）加法定律additive inverse 加法逆元; 加法反元additive property 可加性adjacent angle 邻角adjacent side 邻边adjoint matrix 伴随矩阵algebra 代数algebraic 代数的algebraic equation 代数方程algebraic expression 代数式algebraic fraction 代数分式；代数分数式algebraic inequality 代数不等式algebraic number 代数数algebraic operation 代数运算algebraically closed 代数封闭algorithm 算法系统; 规则系统alternate angle （交）错角alternate segment 内错弓形alternating series 交错级数alternative hypothesis 择一假设; 备择假设; 另一假设altitude 高；高度；顶垂线；高线ambiguous case 两义情况；二义情况amount 本利和；总数analysis 分析；解析analytic geometry 解析几何angle 角angle at the centre 圆心角angle at the circumference 圆周角angle between a line and a plane 直 与平面的交角angle between two planes 两平面的交角angle bisection 角平分angle bisector 角平分线 ；分角线 angle in the alternate segment 交错弓形的圆周角angle in the same segment 同弓形内的圆周角angle of depression 俯角angle of elevation 仰角angle of friction 静摩擦角; 极限角angle of greatest slope 最大斜率的角angle of inclination 倾斜角angle of intersection 相交角；交角angle of projection 投射角angle of rotation 旋转角angle of the sector 扇形角angle sum of a triangle 三角形内角和angles at a point 同顶角angular displacement 角移位angular momentum 角动量angular motion 角运动angular velocity 角速度annum(X% per annum) 年（年利率X%）anti-clockwise direction 逆时针方向；返时针方向anti-clockwise moment 逆时针力矩anti-derivative 反导数; 反微商anti-logarithm 逆对数；反对数anti-symmetric 反对称apex 顶点approach 接近；趋近approximate value 近似值approximation 近似；略计；逼近Arabic system 阿刺伯数字系统arbitrary 任意arbitrary constant 任意常数arc 弧arc length 弧长arc-cosine function 反余弦函数arc-sin function 反正弦函数arc-tangent function 反正切函数area 面积Argand diagram 阿根图, 阿氏图argument (1)论证; (2)辐角argument of a complex number 复数的辐角argument of a function 函数的自变量arithmetic 算术arithmetic mean 算术平均；等差中顶；算术中顶arithmetic progression 算术级数；等差级数arithmetic sequence 等差序列arithmetic series 等差级数arm 边array 数组; 数组arrow 前号ascending order 递升序ascending powers of X X 的升幂assertion 断语; 断定associative law 结合律assumed mean 假定平均数assumption 假定；假设asymmetrical 非对称asymptote 渐近asymptotic error constant 渐近误差常数at rest 静止augmented matrix 增广矩阵auxiliary angle 辅助角auxiliary circle 辅助圆auxiliary equation 辅助方程average 平均；平均数；平均值average speed 平均速率axiom 公理axiom of existence 存在公理axiom of extension 延伸公理axiom of inclusion 包含公理axiom of pairing 配对公理axiom of power 幂集公理axiom of specification 分类公理axiomatic theory of probability 概率公理论axis 轴axis of parabola 拋物线的轴axis of revolution 旋转轴axis of rotation 旋转轴axis of symmetry 对称轴back substitution 回代bar chart 棒形图；条线图；条形图；线条图base （1）底；（2）基；基数base angle 底角base area 底面base line 底线base number 底数；基数base of logarithm 对数的底basis 基Bayes' theorem 贝叶斯定理bearing 方位（角）；角方向（角）bell-shaped curve 钟形图belong to 属于Bernoulli distribution 伯努利分布Bernoulli trials 伯努利试验bias 偏差；偏倚biconditional 双修件式; 双修件句bijection 对射; 双射; 单满射bijective function 对射函数; 只射函数billion 十亿bimodal distribution 双峰分布binary number 二进数binary operation 二元运算binary scale 二进法binary system 二进制binomial 二项式binomial distribution 二项分布binomial expression 二项式binomial series 二项级数binomial theorem 二项式定理bisect 平分；等分bisection method 分半法；分半方法bisector 等分线 ；平分线Boolean algebra 布尔代数boundary condition 边界条件boundary line 界（线）；边界bounded 有界的bounded above 有上界的；上有界的bounded below 有下界的；下有界的bounded function 有界函数bounded sequence 有界序列brace 大括号bracket 括号breadth 阔度broken line graph 折线图calculation 计算calculator 计算器；计算器calculus (1) 微积分学; (2) 演算cancel 消法；相消canellation law 消去律canonical 典型; 标准capacity 容量cardioid 心脏Cartesian coordinates 笛卡儿坐标Cartesian equation 笛卡儿方程Cartesian plane 笛卡儿平面Cartesian product 笛卡儿积category 类型；范畴catenary 悬链Cauchy sequence 柯西序列Cauchy's principal value 柯西主值Cauchy-Schwarz inequality 柯西 - 许瓦尔兹不等式central limit theorem 中心极限定理central line 中线central tendency 集中趋centre 中心；心centre of a circle 圆心centre of gravity 重心centre of mass 质量中心centrifugal force 离心力centripedal acceleration 向心加速度centripedal force force 向心力centroid 形心；距心certain event 必然事件chain rule 链式法则chance 机会change of axes 坐标轴的变换change of base 基的变换change of coordinates 坐标轴的变换change of subject 主项变换change of variable 换元；变量的换characteristic equation 特征(征)方程characteristic function 特征(征)函数characteristic of logarithm 对数的首数; 对数的定位部characteristic root 特征(征)根chart 图；图表check digit 检验数位checking 验算chord 弦chord of contact 切点弦circle 圆circular 圆形；圆的circular function 圆函数；三角函数circular measure 弧度法circular motion 圆周运动circular permutation 环形排列; 圆形排列; 循环排列circumcentre 外心；外接圆心circumcircle 外接圆circumference 圆周circumradius 外接圆半径circumscribed circle 外接圆cissoid 蔓叶class 区；组；类class boundary 组界class interval 组区间；组距class limit 组限；区限class mark 组中点；区中点classical theory of probability 古典概率论classification 分类clnometer 测斜仪clockwise direction 顺时针方向clockwise moment 顺时针力矩closed convex region 闭凸区域closed interval 闭区间coaxial 共轴coaxial circles 共轴圆coaxial system 共轴系coded data 编码数据coding method 编码法co-domain 上域coefficient 系数coefficient of friction 摩擦系数coefficient of restitution 碰撞系数; 恢复系数coefficient of variation 变差系数cofactor 余因子; 余因式cofactor matrix 列矩阵coincide 迭合；重合collection of terms 并项collinear 共线collinear planes 共线面collision 碰撞column (1)列；纵行；(2) 柱column matrix 列矩阵column vector 列向量combination 组合common chord 公弦common denominator 同分母；公分母common difference 公差common divisor 公约数；公约common factor 公因子；公因子common logarithm 常用对数common multiple 公位数；公倍common ratio 公比common tangent 公切commutative law 交换律comparable 可比较的compass 罗盘compass bearing 罗盘方位角compasses 圆规compasses construction 圆规作图compatible 可相容的complement 余；补余complement law 补余律complementary angle 余角complementary equation 补充方程complementary event 互补事件complementary function 余函数complementary probability 互补概率complete oscillation 全振动completing the square 配方complex conjugate 复共轭complex number 复数complex unmber plane 复数平面complex root 复数根component 分量component of force 分力composite function 复合函数; 合成函数composite number 复合数；合成数composition of mappings 映射构合composition of relations 复合关系compound angle 复角compound angle formula 复角公式compound bar chart 综合棒形图compound discount 复折扣compound interest 复利；复利息compound probability 合成概率compound statement 复合命题; 复合叙述computation 计算computer 计算机；电子计算器concave 凹concave downward 凹向下的concave polygon 凹多边形concave upward 凹向上的concentric circles 同心圆concept 概念conclusion 结论concurrent 共点concyclic 共圆concyclic points 共圆点condition 条件conditional 条件句；条件式conditional identity 条件恒等式conditional inequality 条件不等式conditional probability 条件概率cone 锥；圆锥（体）confidence coefficient 置信系数confidence interval 置信区间confidence level 置信水平confidence limit 置信极限confocal section 共焦圆锥曲 congruence (1)全等；(2)同余congruence class 同余类congruent 全等congruent figures 全等图形congruent triangles 全等三角形conic 二次曲 ;圆锥曲conic section 二次曲 ;圆锥曲conical pendulum 圆锥摆conjecture 猜想conjugate 共轭conjugate axis 共轭conjugate diameters 共轭轴conjugate hyperbola 共轭(直)径conjugate imaginary / complex number 共轭双曲conjugate radical 共轭虚/复数conjugate surd 共轭根式; 共轭不尽根conjunction 合取connective 连词connector box 捙接框consecutive integers 连续整数consecutive numbers 连续数；相邻数consequence 结论；推论consequent 条件；后项conservation of energy 能量守恒conservation of momentum 动量守恒conserved 守恒consistency condition 相容条件consistent 一贯的；相容的consistent estimator 相容估计量constant 常数constant acceleration 恒加速度constant force 恒力constant of integration 积分常数constant speed 恒速率constant term 常项constant velocity 怛速度constraint 约束；约束条件construct 作construction 作图construction of equation 方程的设立continued proportion 连比例continued ratio 连比continuity 连续性continuity correction 连续校正continuous 连续的continuous data 连续数据continuous function 连续函数continuous proportion 连续比例continuous random variable 连续随机变量contradiction 矛盾converge 收敛convergence 收敛性convergent 收敛的convergent iteration 收敛的迭代convergent sequence 收敛序列convergent series 收敛级数converse 逆(定理)converse of a relation 逆关系converse theorem 逆定理conversion 转换convex 凸convex polygon 凸多边形convexity 凸性coordinate 坐标coordinate geometry 解析几何；坐标几何coordinate system 坐标系系定理；系；推论coplanar 共面coplanar forces 共面力coplanar lines 共面co-prime 互质; 互素corollary 系定理; 系; 推论correct to 准确至；取值至correlation 相关correlation coefficient 相关系数correspondence 对应corresponding angles (1)同位角；(2)对应角corresponding element 对应边corresponding sides 对应边cosecant 余割cosine 余弦cosine formula 余弦公式cost price 成本cotangent 余切countable 可数countable set 可数集countably infinite 可数无限counter clockwise direction 逆时针方向；返时针方向counter example 反例counting 数数；计数couple 力偶Carmer's rule 克莱玛法则criterion 准则critical point 临界点critical region 临界域cirtical value 临界值cross-multiplication 交叉相乘cross-section 横切面；横截面；截痕cube 正方体；立方；立方体cube root 立方根cubic 三次方；立方；三次(的)cubic equation 三次方程cubic roots of unity 单位的立方根cuboid 长方体；矩体cumulative 累积的cumulative distribution function 累积分布函数cumulative frequecy 累积频数；累积频率cumulative frequency curve 累积频数曲cumulative frequcncy distribution 累积频数分布cumulative frequency polygon 累积频数多边形；累积频率直方图curvature of a curve 曲线的曲率curve 曲线curve sketching 曲线描绘(法)curve tracing 曲线描迹(法)curved line 曲线curved surface 曲面curved surface area 曲面面积cyclic expression 输换式cyclic permutation 圆形排列cyclic quadrilateral 圆内接四边形cycloid 旋输线; 摆线cylinder 柱；圆柱体cylindrical 圆柱形的damped oscillation 阻尼振动data 数据De Moivre's theorem 棣美弗定理De Morgan's law 德摩根律decagon 十边形decay 衰变decay factor 衰变因子decelerate 减速decelaration 减速度decile 十分位数decimal 小数decimal place 小数位decimal point 小数点decimal system 十进制decision box 判定框declarative sentence 说明语句declarative statement 说明命题decoding 译码decrease 递减decreasing function 递减函数；下降函数decreasing sequence 递减序列；下降序列decreasing series 递减级数；下降级数decrement 减量deduce 演绎deduction 推论deductive reasoning 演绎推理definite 确定的；定的definite integral 定积分definition 定义degenerated conic section 降级锥曲线degree (1) 度; (2) 次degree of a polynomial 多项式的次数degree of accuracy 准确度degree of confidence 置信度degree of freedom 自由度degree of ODE 常微分方程次数degree of precision 精确度delete 删除; 删去denary number 十进数denominator 分母dependence (1)相关; (2)应变dependent event(s) 相关事件; 相依事件; 从属事件dependent variable 应变量; 应变数depreciation 折旧derivable 可导derivative 导数derived curve 导函数曲线derived function 导函数derived statistics 推算统计资料; 派生统计资料descending order 递降序descending powers of x x的降序descriptive statistics 描述统计学detached coefficients 分离系数(法)determinant 行列式deviation 偏差; 变差deviation from the mean 离均差diagonal 对角线diagonal matrix 对角矩阵diagram 图; 图表diameter 直径diameter of a conic 二次曲线的直径difference 差difference equation 差分方程difference of sets 差集differentiable 可微differential 微分differential coefficient 微商; 微分系数differential equation 微分方程differential mean value theorem 微分中值定理differentiate 求...的导数differentiate from first principle 从基本原理求导数differentiation 微分法digit 数字dimension 量; 量网; 维(数)direct impact 直接碰撞direct image 直接像direct proportion 正比例direct tax, direct taxation 直接税direct variation 正变(分)directed angle 有向角directed line 有向直线directed line segment 有向线段directed number 有向数direction 方向; 方位direction angle 方向角direction cosine 方向余弦direction number 方向数direction ratio 方向比directrix 准线Dirichlet function 狄利克来函数discontinuity 不连续性discontinuous 间断(的);连续(的); 不连续(的)discontinuous point 不连续点discount 折扣discrete 分立; 离散discrete data 离散数据; 间断数据discrete random variable 间断随机变数discrete uniform distribution 离散均匀分布discriminant 判别式disjoint 不相交的disjoint sets 不相交的集disjunction 析取dispersion 离差displacement 位移disprove 反证distance 距离distance formula 距离公式distinct roots 相异根distincr solution 相异解distribution 公布distributive law 分配律diverge 发散divergence 发散(性)divergent 发散的divergent iteration 发散性迭代divergent sequence 发散序列divergent series 发散级数divide 除dividend (1)被除数；(2)股息divisible 可整除division 除法division algorithm 除法算式divisor 除数；除式；因子divisor of zero 零因子dodecagon 十二边形domain 定义域dot 点dot product 点积double angle 二倍角double angle formula 二倍角公式double root 二重根dual 对偶duality (1)对偶性; (2) 双重性due east/ south/ west /north 向东/ 南/ 西/ 北dynamics 动力学eccentric angle 离心角eccentric circles 离心圆eccentricity 离心率echelon form 梯阵式echelon matrix 梯矩阵edge 棱；边efficient estimator 有效估计量effort 施力eigenvalue 本征值eigenvector 本征向量elastic body 弹性体elastic collision 弹性碰撞elastic constant 弹性常数elastic force 弹力elasticity 弹性element 元素elementary event 基本事件elementary function 初等函数elementary row operation 基本行运算elimination 消法elimination method 消去法；消元法ellipse 椭圆ellipsiod 椭球体elliptic function 椭圆函数elongation 伸张；展empirical data 实验数据empirical formula 实验公式empirical probability 实验概率；经验概率empty set 空集encoding 编码enclosure 界限end point 端点energy 能; 能量entire surd 整方根epicycloid 外摆线equal 相等equal ratios theorem 等比定理equal roots 等根equal sets 等集equality 等(式)equality sign 等号equation 方程equation in one unknown 一元方程equation in two unknowns (variables) 二元方程equation of a straight line 直线方程equation of locus 轨迹方程equiangular 等角(的)equidistant 等距(的)equilateral 等边(的)equilateral polygon 等边多边形equilateral triangle 等边三角形equilibrium 平衡equiprobable 等概率的equiprobable space 等概率空间equivalence 等价equivalence class 等价类equivalence relation 等价关系equivalent 等价(的)error 误差error allowance 误差宽容度error estimate 误差估计error term 误差项error tolerance 误差宽容度escribed circle 旁切圆estimate 估计；估计量estimator 估计量Euclidean algorithm 欧几里德算法Euclidean geometry 欧几里德几何Euler's formula 尤拉公式；欧拉公式evaluate 计值even function 偶函数even number 偶数evenly distributed 均匀分布的event 事件exact 真确exact differential form 恰当微分形式exact solution 准确解；精确解；真确解exact value 法确解；精确解；真确解example 例excentre 外心exception 例外excess 起exclusive 不包含exclusive disjunction 不包含性析取exclusive events 互斥事件exercise 练习exhaustive event(s) 彻底事件existential quantifier 存在量词expand 展开expand form 展开式expansion 展式expectation 期望expectation value, expected value 期望值；预期值experiment 实验；试验experimental 试验的experimental probability 实验概率explicit function 显函数exponent 指数exponential function 指数函数exponential order 指数阶; 指数级express…in terms of…以………表达expression 式；数式extension 外延；延长；扩张；扩充extension of a function 函数的扩张exterior angle 外角external angle bisector 外分角external point of division 外分点extreme point 极值点extreme value 极值extremum 极值face 面factor 因子；因式；商factor method 因式分解法factor theorem 因子定理；因式定理factorial 阶乘factorization 因子分解；因式分解factorization of polynomial 多项式因式分解fallacy 谬误FALSE 假(的)falsehood 假值family 族family of circles 圆族family of concentric circles 同心圆族family of straight lines 直线族feasible solution 可行解；容许解Fermat's last theorem 费尔马最后定理Fibonacci number 斐波那契数；黄金分割数Fibonacci sequence 斐波那契序列fictitious mean 假定平均数figure (1)图(形)；(2)数字final velocity 末速度finite 有限finite dimensional vector space 有限维向量空间finite population 有限总体finite probability space 有限概率空间finite sequence 有限序列finite series 有限级数finite set 有限集first approximation 首近似值first derivative 一阶导数first order differential equation 一阶微分方程first projection 第一投影; 第一射影first quartile 第一四分位数first term 首项fixed deposit 定期存款fixed point 定点fixed point iteration method 定点迭代法fixed pulley 定滑轮flow chart 流程图focal axis 焦轴focal chord 焦弦focal length 焦距focus(foci) 焦点folium of Descartes 笛卡儿叶形线foot of perpendicular 垂足for all X 对所有Xfor each /every X 对每一Xforce 力forced oscillation 受迫振动form 形式；型formal proof 形式化的证明format 格式；规格formula(formulae) 公式four leaved rose curve 四瓣玫瑰线four rules 四则four-figure table 四位数表fourth root 四次方根fraction 分数；分式fraction in lowest term 最简分数fractional equation 分式方程fractional index 分数指数fractional inequality 分式不等式free fall 自由下坠free vector 自由向量; 自由矢量frequency 频数；频率frequency distribution 频数分布；频率分布frequency distribution table 频数分布表frequency polygon 频数多边形；频率多边形friction 摩擦; 摩擦力frictionless motion 无摩擦运动frustum 平截头体fulcrum 支点function 函数function of function 复合函数；迭函数functional notation 函数记号fundamental theorem of algebra 代数基本定理fundamental theorem of calculus 微积分基本定理gain 增益；赚；盈利gain perent 赚率；增益率；盈利百分率game （1）对策；（2）博奕Gaussian distribution 高斯分布Gaussian elimination 高斯消去法general form 一般式；通式general solution 通解；一般解general term 通项generating function 母函数; 生成函数generator (1)母线; (2)生成元geoborad 几何板geometric distribution 几何分布geometric mean 几何平均数；等比中项geometric progression 几何级数；等比级数geometric sequence 等比序列geometric series 等比级数geometry 几何；几何学given 给定；已知global 全局; 整体global maximum 全局极大值; 整体极大值global minimum 全局极小值; 整体极小值golden section 黄金分割grade 等级gradient (1)斜率；倾斜率；(2)梯度grand total 总计graph 图像；图形；图表graph paper 图表纸graphical method 图解法graphical representation 图示；以图样表达graphical solution 图解gravitational acceleration 重力加速度gravity 重力greatest term 最大项greatest value 最大值grid lines 网网格线group 组；grouped data 分组数据；分类数据grouping terms 并项；集项growth 增长growth factor 增长因子half angle 半角half angle formula 半角公式half closed interval 半闭区间half open interval 半开区间harmonic mean (1) 调和平均数; (2) 调和中项harmonic progression 调和级数head 正面（钱币）height 高（度）helix 螺旋线hemisphere 半球体；半球heptagon 七边形Heron's formula 希罗公式heterogeneous (1)参差的; (2)不纯一的hexagon 六边形higher order derivative 高阶导数highest common factor(H.C.F) 最大公因子；最高公因式；最高公因子Hindu-Arabic numeral 阿刺伯数字histogram 组织图；直方图；矩形图Holder's Inequality 赫耳德不等式homogeneous 齐次的homogeneous equation 齐次方程Hooke's law 虎克定律horizontal 水平的；水平horizontal asymptote 水平渐近线horizontal component 水平分量horizontal line 横线 ；水平线horizontal range 水平射程hyperbola 双曲线hyperbolic function 双曲函数hypergeometric distribution 超几何分布hypocycloid 内摆线hypotenuse 斜边hypothesis 假设hypothesis testing 假设检验hypothetical syllogism 假设三段论hypotrochoid 次内摆线idempotent 全幂等的identical 全等；恒等identity 等（式）identity element 单位元identity law 同一律identity mapping 恒等映射identity matrix 恒等矩阵identity relation 恒等关系式if and only if/iff 当且仅当；若且仅若if…, then 若….则；如果…..则illustration 例证；说明image 像点；像image axis 虚轴imaginary circle 虚圆imaginary number 虚数imaginary part 虚部imaginary root 虚根imaginary unit 虚数单位impact 碰撞implication 蕴涵式；蕴含式implicit definition 隐定义implicit function 隐函数imply 蕴涵；蕴含impossible event 不可能事件improper fraction 假分数improper integral 广义积分; 非正常积分impulse 冲量impulsive force 冲力incentre 内力incircle 内切圆inclination 倾角；斜角inclined plane 斜面included angle 夹角included side 夹边inclusion mapping 包含映射。
2020年HKDSE高考真题数学试卷二-学生用卷
2020年HKDSE高考真题数学试卷二-学生用卷1、【来源】 2020年高考真题HKDSE二第1题6x(3x−5)−2=（）．A. 54x8B. 2x 83C. 54x9D. 23x92、【来源】 2020年高考真题HKDSE二第2题lf a(a+b)=2(b−a), then b=（）．若a(a+b)=2(b−a)，则b=（）．A. a 2+a2+aB. a 2−2a2+aC. a 2+2a2−aD. a 2−a2−a3、【来源】 2020年高考真题HKDSE二第3题5 4k+3−24k−3=（）．A. 12k−2116k2−9B. 12k+916k2−9C. 14k−2116k2−9D. 14k+916k2−94、【来源】 2020年高考真题HKDSE二第4题(3a+2b)(4a−5b)−a(6a+4b)=（）．A. (3a+2b)(2a−5b)B. (3a+2b)(6a−5b)C. (3a−2b)(2a+5b)D. (3a−2b)(6a+5b)5、【来源】 2020年高考真题HKDSE二第5题Let f(x)=3x2−x−2. lf β is a constant, then f(1+β)−f(1−β)=（）．设f(x)=3x2−x−2．若β为一常数，则f(1+β)−f(1−β)=（）．A. 2βB. 10βC. 6β2−2D. 6β2−2β6、【来源】 2020年高考真题HKDSE二第6题Let g(x)=ax3+4ax2−24, where a is a constant. lf x+2 is a factor of g(x), then g(2)=（）．设g(x)=ax3+4ax2−24，其中a为一常数．若x+2为g(x)的因式，则g(2)=（）．A. −96B. 0C. 3D. 487、【来源】 2020年高考真题HKDSE二第7题lf ℎ and k are constants such that (x+ℎ)(x+6)=(x+4)2+k, then k=（）．若ℎ及k均为常数使得(x+ℎ)(x+6)=(x+4)2+k，则k=（）．A. −28B. −16C. −4D. 28、【来源】 2020年高考真题HKDSE二第8题In the figure, the equations of the straight lines L1 and L2 are x+ay+b=0 and bx+y+c=0 respectively. Which of the following are true?（）．l.c<0ll.c<1lll. c<b图中，直线L1及直线L2的方程分别为x+ay+b=0及bx+y+c=0．下列何者正确？（）．l.c<0ll.c<1lll. c<bA. I and II only只有I及IIB. I and III only只有I及IIIC. II and III only只有II及IIID. I，II and IIII、II及III9、【来源】 2020年高考真题HKDSE二第9题The cost of a toy is x% lower than its selling price. After seling the toy, the percentage profit is 25%. Find x.（）某玩具的成本较其售价低x%．售出该玩具后，盈利百分率为25%．求x（）．A. 20B. 25C. 75D. 8010、【来源】 2020年高考真题HKDSE二第10题The actual area of a golf course is 0.75km2, If the area of the course on a map is 300cm2, then the scale of the map is（）．某高尔夫球场的实际面积为0.75km2．若该球场在某地图上的面积为300cm2，则该地图的比例尺为（）．A. 1:250B. 1:5000C. 1:62500D. 1:2500000011、【来源】 2020年高考真题HKDSE二第11题It is given that w varies as the cube of u and the square root of v. When u=2 and v=4, w=8, When u=4 and v=9, w=（）．已知w随u的立方及v的平方根正变．当u=2及v=4时，w=8，当u=4及v=9时，w=（）．A. 96B. 324C. 384D. 72912、【来源】 2020年高考真题HKDSE二第12题In the figure, the 1 st figure consists of 3 dots. For any positive integer n, the (n+1) th pattern is formed by adding (2n+1) dots to the nth pattern. Find the number of dots in the 7 th pattern（）．图中，第1个图案包含3粒点子．对任意正整数n，第(n+1)个图案是由第n个图案加上(2n+1)粒点子所组成．求第7个图案的点子数目（）．A. 15B. 27C. 38D. 5113、【来源】 2020年高考真题HKDSE二第13题>1 is（）．Find the solution of 5−4x<9 and 2x−37>1的解为（）．5−4x<9及2x−37A. x<−1B. x>−1C. x<5D. x>514、【来源】 2020年高考真题HKDSE二第14题In the figure, PQRST is a pentagon, where all the measurements are correct to the nearest cm. Let Acm2be the actual area of the pentagon. Find the range of values of A（）．图中，PQRST为五边形，其中所有的量度均准确至最接近的cm．设Acm2为该五边形的实际面积，求A值的范围（）．A. 27.83⩽A<31.83B. 44.75⩽A<60.75C. 46.75⩽A<63.25D. 48.25⩽A<64.7515、【来源】 2020年高考真题HKDSE二第15题The angle of a sector is decreased by 60% but its radius is increased by k%.If the arc length of the sector remains unchanged, find the value of k（）．某扇形的角减少60%，而它的半径却增加k%．若该扇形的弧长维持不变，则k的值（）．A. 40 B. 60 C. 67 D. 15016、【来源】 2012年高考真题HKDSE二第16题If the volume of a right circular cylinder of base radius 5acm and height 7bcm is 525cm3, then the volume of a right circular cone of base radius 7acm and height 5bcm is（）．若一底半径为5acm及高为7bcm的直立圆柱体的体积为525cm3，则一底半径为7acm及高为5bcm的直立圆锥体的体积为（）．A. 175cm3B. 245cm3C. 490cm3D. 735cm317、【来源】 2020年高考真题HKDSE二第17题In the figure, P and Q are points lying on OR while U and T are points lying on OS such that OP=PQ= QR and PU//QT//RS. The ratio of the area of the trapezium PQTU to the area of the trapezium QRST is （）．图中，P及Q均为OR上的点而U及T均为OS上的点使得OP=PQ=QR，且PU//QT//RS，梯形PQTU的面积和梯形QRST的面积之比为（）．A. 1:2B. 2:3C. 3:5D. 4:918、【来源】 2020年高考真题HKDSE二第18题In the figure, ABCD is a parallelogram. Let E be a point lying on AD such that AE:ED=2:5, CB is produced to the point F such that BF=DE. Denote the point of intersection of AB and EF by G. It is given that BD and CG intersect at the point H. If the area of △AEG is 48cm2, then the area of △CDH is （）．图中，ABCD为一平行四边形，设E为AD上的一点使得AE:ED=2:5，延长CB至点F使得BF= DE，将AB与EF的交点记为G，已知BD与CG相交于点H，若△AEG的面积为48cm2，则△CDH的面积为（）．A. 98cm2B. 343cm2C. 420cm2D. 588cm219、【来源】 2020年高考真题HKDSE二第19题According to the figue, which of the following must be true?（）．根据图中所示，下列何者必为正确（）．I.u−v+w=0°II.u+v−w=180°III.u+v+w=450°A. I only只有IB. II only只有IIC. I and III only只有I及IIID. II and III only只有II及III20、【来源】 2020年高考真题HKDSE二第20题In the figure, ABC is an equilateral triangle and CDE is an isosceles triangle with CD=CE. If ∠DCE= 78° and ∠ADC=∠CAD=40°, then ∠CBE=（）．图中，ABC为一等边三角形及CDE为一等腰三角形且CD=CE，若∠DCE=78°，及∠ADC=∠CAD=40°，则∠CBE=（）．A. 14°B. 19°C. 24°D. 29°21、【来源】 2020年高考真题HKDSE二第21题In the figure, ABCD is a rectangle. Let E be a point lying on AD such that BE=8cm and CE=15cm. If BC=17cm, find the area of the rectangle ABCD（）．图中，ABCD为一长方形，设E为AD上的一点使得BE=8cm，及CE=15cm，若BC=17cm，求长方形ABCD的面积（）．A. 60cm2B. 68cm2C. 120cm2D. 136cm222、【来源】 2020年高考真题HKDSE二第22题In the figure, ABCDE is a circle, If AB=10cm, BC=5cm, ∠ABC=90° and ∠CED=40°, find CD correct to the nearest cm（）．图中，ABCDE为一圆，若AB=10cm、BC=5cm、∠ABC=90°及∠CED=40°，求CD准确至最接近的cm（）．A. 5cmB. 6cmC. 7cmD. 8cm23、【来源】 2020年高考真题HKDSE二第23题A ship is 50km due west of a lighthouse, If the ship moves in the direction S60°E, find the shortest distance between the ship and the lighthouse（）．某船位于灯塔以西50km，若该船沿S60°E方向移动，求该船与灯塔间的最短距离（）．A. 20kmB. 25kmC. 43kmD. 87km24、【来源】 2020年高考真题HKDSE二第24题The point P is translated leftwards by 4 units to the point Q. If the coordinates of the reflection image of Q with respect to the y-axis are (5,−1), then the polar coordinates of P are （）．点P向左平移4单位至点Q，若Q对y轴的反射影像的坐标为(5,−1)，则P的极坐标为（）．A. (1,45°)B. (1,225°)C. (√2,45°)D. (√2,225°)25、【来源】 2020年高考真题HKDSE二第25题Let A be the point of intersection of the straight lines 9x+4y−7=0 and 9x−4y+7=0. If P is a moving point in the rectangular coordinate plane such that the distance between P and A is 8, then the locus of P is a （）．设A为直线9x+4y−7=0与直线9x−4y+7=0的交点，若P为直角坐标平面上的一动点使得P 与A间的距离为8，则P的轨迹为一（）．A. circle圆B. triangle三角形C. quadrilateral四边形D. regular hexagon正六边形26、【来源】 2020年高考真题HKDSE二第26题The equation of the straight line L is kx+4y−2k=0, where k is a constant. If L is perpendicular to the straight line 6x−9y+4=0, find the y-intercept of L（）．直线L的方程为kx+4y−2k=0，其中k为一常数．若L垂直于直线6x−9y+4=0，求L的y截距（）．A. −3B. −2C. 2D. 327、【来源】 2020年高考真题HKDSE二第27题The equations of the circles C1 and C2 are 2x2+2y2+4x+8y−149=0 and x2+y2−8x−20y−53=0 respectively. Which of the following is/are true?（）．Ⅰ. The centre of C1 lies on C2.Ⅱ. The radii of C1 and C2 are equal.Ⅲ. C1 and C2 intersect at two distinct points.圆C1及圆C2的方程分别为2x2+2y2+4x+8y−149=0及x2+y2−8x−20y−53=0．下列何者正确？（）．Ⅰ. C1的圆心在C2上．Ⅱ. C1与C2的半径相等．Ⅲ. C1与C2相交于两相异点．A. Ⅰ only只有ⅠB. Ⅱ only只有ⅡC. Ⅰ and Ⅲ only只有Ⅰ及ⅢD. Ⅱ and Ⅲ only只有Ⅱ及Ⅲ28、【来源】 2020年高考真题HKDSE二第28题Two numbers are randomly drawn at the same time from four cards numbered 3, 5, 7 and 9 respectively. Find the probability that the product of the numbers drawn is greater than 35（）．从四张分别记有数字3、5、7及9的纸卡中，随机同时抽出两个数字．求抽出数字之积大于35的概率（）．A. 12B. 13C. 23D. 3829、【来源】 2020年高考真题HKDSE二第29题The bar chart below shows the distribution of the numbers of pens owned by some students. Find the inter-quartile range of the distribution.（）下面的棒形图显示某些学生拥有原子笔的数目的分布．求该分布的四分位数间距（）．A. 1B. 2C. 4D. 630、【来源】 2020年高考真题HKDSE二第30题Consider the following integers:338881012mnLet x，y and z be the median, the mean and the mode of the above integers respectively. If the range of the above integers is 9，which of the following must be true?（）．Ⅰ. x=8Ⅱ. y=8Ⅲ. z=8考虑以下整数：338881012mn设x、y及z分别为以上整数的中位数、平均值及众数．若以上整数的分布域为9，则下列何者必为正确？（）．Ⅰ. x=8Ⅱ. y=8Ⅲ. z=8A. Ⅰ onlyB. Ⅱ only只有ⅡC. Ⅰ and Ⅲ only只有Ⅰ及ⅢD. Ⅱ and Ⅲ only只有Ⅱ及Ⅲ31、【来源】 2020年高考真题HKDSE二第31题B00000000000003016=（）．A. 10×260+48B. 11×260+48C. 10×264+768D. 11×264+76832、【来源】 2020年高考真题HKDSE二第32题If the roots of the equation (log x x)2−10logπx+24=logπx are α and β, then αβ=（）．若方程(logπx)2−10logπx+24=logπx的根为α及β，则αβ=（）．A. π10B. π11C. logπ10D. logπ1133、【来源】 2020年高考真题HKDSE二第33题The figure shows the graph of y=a x and the graph of y=b x on the same rectangular coordinate system,where a and b are positive constants. If the graph of y=a x is the reflection image of the graph of y=b x with respect to the y-axis, which of the following are true?（）．Ⅱ. b>1Ⅲ. ab=1图中所示为在同一直角坐标系上y=a x的图象及y=b x的图象，其中a及b均为正常数．若y= a x的图象为y=b x的图象对y轴的反射影像，则下列何者正确？（）．Ⅰ. a<1Ⅱ. b>1Ⅲ. ab=1A. Ⅰ and Ⅱ only只有Ⅰ及ⅡB. Ⅰ andⅢ only只有Ⅰ及ⅢC. Ⅱ and Ⅲ only只有Ⅱ及ⅢD. Ⅰ、Ⅱ and ⅢⅠ、Ⅱ及Ⅲ34、【来源】 2020年高考真题HKDSE二第34题The graph in the figure shows the linear relation between x3 and √y. lf x=2, then y=（）．图中的图像显示x3与√y之间的线性关系．若x=2，则y=（）．A. 3B. 8C. 9D. 3335、【来源】 2020年高考真题HKDSE二第35题lf a>0, which of the following are arithmetic sequences?（）Ⅰ. loga−3, loga, loga5Ⅱ. 8−4a, 9−5a, 10−6aⅢ. cos(90−a)°, cos90°, cos(90+a)°若a>0，则下列何者为等差数列？（）Ⅰ. loga−3，loga，loga5Ⅱ. 8−4a，9−5a，10−6aⅢ. cos(90−a)°，cos90°，cos(90+a)°A. Ⅰ and Ⅱ only只有Ⅰ及ⅡB. Ⅰ and Ⅲ only只有Ⅰ及ⅢC. Ⅱ and Ⅲ only只有Ⅱ及ⅢD. Ⅰ, Ⅱ and ⅢⅠ，Ⅱ及Ⅲ36、【来源】 2020年高考真题HKDSE二第36题Consider the following system of inequalities:{0⩽x ⩽22x +y +3⩾0x +y +1⩽0Let D be the region which represents the solution of the above system of inequalities. Find the constant k such that the least value of 4x +3y +k is 24, where (x,y) is a point lying in D （ ）．考虑以下的不等式组：{0⩽x ⩽22x +y +3⩾0x +y +1⩽0设D 为表示以上的不等式组的解之区域．求常数k 使得4x +3y +k 的最小值为24，其中(x,1)为D 中的一点（ ）．A. 25B. 27C. 37D. 5337、【来源】 2020年高考真题HKDSE 二第37题Define z 1=2+ki 1+i and z 2=k+5i 2−i, where k isa real number. If the imaginary part of z 1 is equal to the imaginary part of z 2, then z 1−z 2=（ ）．定义z 1=2+ki 1+i 及z 2=k+5i 2−i ，其中k 为一实数．若z 1的虚部等于z 2的虚部，则z 1−z 2=（ ）． A. −20 B. 0 C. 3 D. 1038、【来源】 2020年高考真题HKDSE 二第38题In the figure, ABCDEF is a right triangular prism. P is a point lying on AE . If AB =AC =12cm , AP =9cm , EP =5cm and BD =2kcm ，find the area of △BDP （ ）．图中，ABCDEF 为一直立三角柱体．P 为AE 上的一点．若AB =AC =12cm 、AP =9cm 、EP =5cm 及BD =2kcm ，求△BDP 的面积（ ）．A. √(k2−1)(196−k2)cm2B. √(k2−1)(196+k2)cm2C. √(k2+1)(196−k2)cm2D. √(k2+1)(196+k2)cm239、【来源】 2020年高考真题HKDSE二第39题In the figure, ABC and CDE are circles such that ADC is a straight line. PQ is the conmon tangent to the two circles at C. AB is the tangent to the circle CDE at E. If ∠ADE=100° and ∠BCQ=35°, then ∠ABC=（）．图中，ABC及CDE均为圆使得ADC为一直线．PQ为该两圆在C的公切线．AB为圆CDE在E的切线．若∠ADE=100°及∠BCQ=35°，则∠ABC=（）．A. 55°B. 65°C. 70°D. 80°40、【来源】 2020年高考真题HKDSE二第40题The equations of the three sides of a triangle are 4x+3y=24, 4x−3y=24 and x=a, where a is a constant. If the x-coordinate of the in-centre of the triangle is 31, then a=（）．某三角形的三边的方程为4x+3y=24、4x−3y=24及x=a，其中a为一常数，若该三角形的内心的x坐标为31，则a=（）．A. 15B. 31C. 45D. 5141、【来源】 2020年高考真题HKDSE二第41题Find the range of values of c such that the circle x2+y2−6x+cy−7=0 and the straight line x−y+9=0 intersect（）．求c值的范围使得圆x2+y2−6x+cy−7=0与直线x−y+9=0相交（）．A. −56⩽c⩽8B. −8⩽c⩽56C. c⩽−56 or c⩾8c⩽−56或c⩾8D. c⩽−8 or c⩾56c⩽−8或c⩾5642、【来源】 2020年高考真题HKDSE二第42题A queue is formed by 6 boys and 5 girls. If no boys are next to each other, how many different queues can be formed?（）6名男生与5名女生排成一队．若没有男生相邻而排，则可排成多少不同的队？（）A. 86400B. 172800C. 213444D. 3991680043、【来源】 2020年高考真题HKDSE二第43题There are 8 Chinese books and 7 English books in a box. If 5 books are randomly chosen from the box at the same time, find the probability that at most 3 Chinese books are chosen.（）某箱子内有8本中文书及7本英文书．若从该箱子中随机同时抽出5本书，求抽出至多3本中文书的概率（）．A. 211B. 911C. 61143D. 8214344、【来源】 2020年高考真题HKDSE二第44题In a test, the difference of the test scores and the difference of the standard scores of two studentsare 30 marks and 6 respectively. In the test, the standard deviation of the test scores is（）．在一测验，某两学生的测验得分之差及标准分之差分别为30分及6．在该测验，测验得分的标准差为（）．A. 5 marks5分B. 24 marks24分C. 25 marks25分D. 36 marks36分45、【来源】 2020年高考真题HKDSE二第45题The variance of the six numbers 20a+3, 20a+5, 20a+9, 20a+11, 20a+15 and 20a+17 is （）．六个数20a+3、20a+5、20a+9、20a+11、20a+15及20a+17的方差为（）．A. 5B. 10C. 25D. 20a+251 、【答案】 C;2 、【答案】 C;3 、【答案】 A;4 、【答案】 A;5 、【答案】 B;6 、【答案】 D;7 、【答案】 C;8 、【答案】 A;9 、【答案】 A;10 、【答案】 B;11 、【答案】 A;12 、【答案】 D;13 、【答案】 D;14 、【答案】 B;15 、【答案】 D;16 、【答案】 B;17 、【答案】 C;18 、【答案】 B;19 、【答案】 B;20 、【答案】 D;21 、【答案】 C;22 、【答案】 C;23 、【答案】 B;24 、【答案】 D;25 、【答案】 A;26 、【答案】 D;27 、【答案】 C;28 、【答案】 B;29 、【答案】 A;30 、【答案】 A;31 、【答案】 B;32 、【答案】 B;33 、【答案】 D;34 、【答案】 C;35 、【答案】 D;36 、【答案】 C;37 、【答案】 C;38 、【答案】 A;39 、【答案】 A;40 、【答案】 D;41 、【答案】 D;42 、【答案】 A;43 、【答案】 B;44 、【答案】 A;45 、【答案】 C;第21页，共21页。
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A circle is a set of points a given distance from one point called the center.The distance from the center is called the radius
x 32 +y 22 42
x 32 +y 22 16
Write an equation of a circle with center (-4, 0) and a diameter of 10.
x 42 +y 02 52
x 42 +y2 25
Write an equation of a circle with center (2, -9) and a radius of 11.
Graphing Circles
(x + 4)2 + (y – 1)2 = 25
Converting from general form to centre-radius form
1. Move the x terms together and the y terms together.
2. Move C to the other side. 3. Complete the square (as needed) for x. 4. Complete the square(as needed) for y. 5. Factor the left & simplify the right.
(x – h)2 + (y – k)2 = CP2
so:
(x – h)2 + (y – k)2 = r2
Standard equation of the circle
If the circle is at the origin
x 2+y2=r2
r is the radius
If the circle is not at the origin
rearrange the equation to put the x terms and the y terms together:
• by identifying its center and radius; • By listing four quick points: the upmost, lowest,
leftmost and rightmost points.
Graph the circle
(x – 3)2 + (y – 2)2 = eorem:
OQ2 + PQ2 = OP2
so:
x2+y2=r2
Suppose a circle is not centered at the origin, but the center C is the point (h, k).
Prove the equation of the circle is (x – h)2 + (y – k)2 = r2
The center is (1, -3)
The radius is 7
The equation is
(x – 1)2 + (y + 3)2 = 49
Graphing Circles
• If you know the equation of a circle, you can graph the circle
x h2 y k2 r 2
Solve for r
r x h2 y k 2
Write the equation of Circle,Center at (-5,0) and radius 4.
x h2 y k2 r 2
x 52 y 02 42
h=-5
k=0
r=4
For any point P(x, y) on the circle, CP = r.
P r y–k C x–h
The vertical distance from C to P is y – k. The horizontal distance from C to P is x – h.
use the Pythagorean Theorem:
x 52 y2 16
Write the standard equation of the circle: Center (4, 7) and Radius of 5
(x – 4)2 + (y – 7)2 = 25
Write an equation of a circle with center (3, 2) and a radius of 4.
A circle is drawn with its center at the origin O & radius r.
The equation of the circle is x2 + y2 = r2.
P ry O xQ
For any point P(x, y) on the circle, OP = r. If Q is the point (x, 0) forming a right triangle with O and P, then OQ = x and PQ = y.
Find the center and the radius of a circle with the equation x2 + y2 + 4x – 6y + 9 = 0
Complete the square to write the equation in the form (x – a)2 + (y – b)2 = r2.
x 22 y 92
2
11
x 22 +y+92 11
Find the center, radius, & equation of the circle.
The center is (0, 0)
The radius is 12
The equation is x2 + y2 = 144
Find the center, radius, & equation of the circle.