(完整word版)AEAS数学高频词汇-必备
as数学词汇
as数学词汇AS数学词汇一、代数(Algebra)代数是数学中的一个重要分支,它研究数与数之间的关系和运算。
代数的基本概念包括方程、不等式、变量和函数等。
代数的应用非常广泛,它可以用来解决各种问题,比如求解方程、计算函数值等。
二、方程(Equation)方程是一种数学语句,它表示两个表达式相等。
方程的解是使得方程成立的数值。
例如,2x + 3 = 7就是一个简单的一元一次方程,它的解为x = 2。
三、不等式(Inequality)不等式是一种数学语句,它表示两个表达式不相等或大小关系。
不等式的解是使得不等式成立的数值范围。
例如,2x + 3 > 7就是一个简单的一元一次不等式,它的解为x > 2。
四、变量(Variable)变量是数学中用来表示未知数的符号。
变量可以取不同的值,通过改变变量的值,我们可以得到不同的结果。
常见的变量符号有x、y、z等。
五、函数(Function)函数是一种特殊的关系,它将一个输入值映射到一个输出值。
函数可以用来描述各种现实问题,比如数学模型、物理规律等。
函数的常见表示形式为f(x),其中f表示函数名,x表示输入值。
六、导数(Derivative)导数是微积分中的重要概念,它表示函数在某一点上的变化率。
导数可以用来求函数的极值、描述曲线的斜率等。
导数的计算方法包括极限、微分等。
七、积分(Integral)积分是微积分中的另一个重要概念,它表示函数在一定区间上的累积变化量。
积分可以用来求解曲线下的面积、计算函数的平均值等。
积分的计算方法包括定积分、不定积分等。
八、概率(Probability)概率是统计学中的一个重要概念,它表示事件发生的可能性大小。
概率可以用来描述随机事件的规律性和不确定性。
概率的计算方法包括古典概率、条件概率、期望值等。
九、统计(Statistics)统计是数学中研究数据收集、分析和解释的一门学科。
统计可以用来总结数据、描述数据的特征、研究数据的关系等。
(完整word版)AEAS数学高频词汇-必备
数学核心词汇一:常见符号二:常见几何计算公式平面图形的周长和面积:附录:SAT数学考试速查词汇AAbscissa 横坐标absolute value 绝对值account for (数量)占acute angle 锐角acute triangle 锐角三角形Add 加add to Addition 加,加法Adjacent 相邻adjacent angles 邻角Algebra 代数学algebraic expression 代数式algebraic fraction 分式algebraic term 代数项Aliquot 除得尽数Aliquant 除不尽数alternate angles 内错角Altitude 高度Amount 合计Angle 角angle bisector 角平分线Apex 顶,顶点Apiece 每人,每个Approximately 近似的,大约的Approximation 近似,近似值Arc 弧,圆周的任意一段Area 面积Arithmetic 算术arithmetic(al) average 算术平均数arithmetic(al) mean 算术平均数或等差中项arithmetic(al) progression或series 算术级数,等差级数assume that 假定义……at random 随机地at right angles with 与……成直角at this rate 以这样的比率,价格或速度Average 平均,平均数平均的Axis 轴BBalance 余额bar graph(chart) 条带图Base 堤边,底面,幂或乘方的底数base area 底面积be across from 在……对面be closet to 最接近……be composed of 由构成be equal to 与……相等be equivalent to anther equation 与另一方程痛解be fewer than 小于be greater than 大于be greater than or equal to 不小于be inscribed in 内接于be less than 小于be less than or equal to 不大于be parallel to 平行于be perpendicular to 垂直于be substituted for 代替Billion 109Binomial 二项式Bisect 把……二等分Block 立体blot out 涂掉,删掉Bound 辩解,范围;邻接bulk 大量Ccalculate to three decimal places 计算结果保留三位小数Cancellation 约掉,消掉Center 圆心central angle 圆心角Chart 图表Chord 弦Circle 圆circle graph(chart) 圆形图Circular 圆形的,环形的circular cylinder 圆柱Circumference 圆的周长clear an equation of fractions 分式方程整式化Clockwise 顺时针Coefficient 系数Column 列,圆柱Common denominator 公分母Common difference 等差数列的公差Common divisor(factor) 共因子;公约数Common ratio 等比数列的公比Common multiple 公倍数complement 余角complementary angle 余角complete circle 全圆complete quadratic (equation) 全二次方程complex fraction 繁分数composite number 和数,指大于一而不是质数的整数compound 混合物;复利compound interest 复利compound annual interest 年复利concentration 浓度concentric circle 同心圆congruent (多边形)全等的consecutive 连续的consecutive integer 连续整数consecutive even(odd) integer 连续偶(奇)数consist of 由……构成constant 不变的,永恒的;常数constitute 构成,组成coordinate 坐标coordinate axis system 坐标系coordinate geometry 解析几何coordinate plane 坐标平面corresponding angles 同位角,对应角corresponding side 对应边counterclockwise 逆时针cross multiplication 交叉相乘Cube 立方体,立方;三次幂Cubic 立方体的,立方的cubic block 立方体cubic denominations 立方单位cubic solid 立方体cubic units 立方单位cumulative graph(chart) 累积图Curve 曲线Curved line 曲线cylinder 圆柱体Ddecagon 十角形,十边形decimal 小数;小数的decimal fraction 纯小数decimal place 小数位decimal point 小数点decrease 减少,减少量Deduct 扣除,减去Degree 度;度数(温度和角度)denominator 分母Denote 表示,意味着Depth 深度diagonal 对角线;对角线的diameter 直径Differ 不同,相异difference 差,差额Digit 数字,位(数)dimension 尺寸,尺度;维(数),度(数),元(be) direct(inverse) proportional to 成正(反)比discount rate 折扣率distance 距离distinct 与其它不同的,独特的Divide 除dividend 被除数divisor 除数,约数divisible 可整除的division 除法done(drawn) to scale 按比例绘制Eeccentric 偏心圆,;不同圆心的edge 立体的变或棱endpoint 端点equality 相等,等式equation 等式,方程equiangular 等角的equidistance 等距离的equilateral 等边形;等边的equivalent 等面积的,等体积的;等价的,相等的,等量的equivalent fraction 等值分数,如1/2和2/4even integer 偶数evenly even integer 能再平分的偶数(能背4整除)evenly spaced 等间隔的exponent 指数expression 表达式exterior angle 外角Fface 立体的面factor 因子;将……分解因子factorable 可进行因式分解的factorial 阶乘;因子的,阶乘的figure 图形fold 对折formula 公式,配方fraction 分数from subtract 从……减去……Ggaingeometric mean 几何平均数geometric progression 几何级数,等比级数geometry 几何学graph 图表;用图表来表示greatest common divisor 最大公约数grid 格栅gross 总的,毛的Hhalfway 半途的halve 把……平分为二;将……减半height 高heptagon 七边形hexagon 六边形horizontally 水平地hundreds 百位hundredth 第一百个;百分之一hypotenuse (直角三角形)斜边Iidentical 相等的;恒等的improper fraction 假分数included angle(side) 夹角(边)indefinitely 无限定地independent 无关地,独立地independent variables 自变量inequality 不等式;不相等in excess of 超过……infinite decimal 无穷小数,同non-terminating decimal infinite sequence 无穷数列inscribed angle 圆周角,同弧所对圆心角central angle的尺寸是圆周角的二倍inside dimension 内部尺寸installment 分期付款中每一期所付的款项integer 整数integer part 代分数的整数部分,代分数的分数部分是fractional partintercept 截距;截取eg intercepted arc 截弧interest 利息interior angle 内角in terms of 用……来表示intersect 直线相交,point of inetrsection交点interval 间隔,区间in turn 依次,轮流invert a fraction 求一个分数的倒数irrational number 无理数Jjoint 接合,接合处Lleast(lowest) common multiple 最小公倍数leg 梯形的两条不平性的边;直角三角形的直角边length 长度lengthwise(lengthways) 纵长的like(similar) terms 同类项line 直线,线段line segment/half line半直线,射线line graph 线型图literal coefficient 字母系数Mmathematical operation 数学运算mean 平均数mean proportional 比例中项median 中数;中线midpoint 中点midway 中途million 106minor arc AB 劣弧ABminuend 被减数minus 减mixed decimal 混合小数,如3.14mode 众数monomial 单项式multiple 多倍的,多重的;倍数a multiple of multiplicand 被乘数multiplication 乘法multiplier 乘数multiply 乘Nnatural number 自然数negative number 负数negligible 可忽略不计的n-gon n-边形nickel 五分nonadjacent 不相邻的nonagon 九边形nonzero 非零;非零的not necessarily distinct 不必然不同的number 数,数字number line 数轴,规定了原点,正方向和单位长度的直线,数轴上的点和实数一一对应numerator 分数的分子numerical coefficient 数字系数Oobtuse angle 钝角,大于90度而小于180度的角obtuse triangle 钝角三角形octagon 八边形odd integer 奇数odds 事物发生的可能性,机会of one dimension 线性的on the average 平均operation 运算order 顺序,订单ordinate 纵坐标origin 原点,origin of coordinates 坐标原点original equation 原方程overlap 部分重叠,部分搭交Pparallel lines 平行线parallelogram 平行四边形pentagon 五边形percent 百分号percent of interest 利率,同rate of interestpercent increase 增加的百分率percent decrease 减少的百分率perfect square(cube) 完全平方(立方),e.g.25是5的完全平方perimeter 周长perpendicular lines 垂直线pictograph 统计图表pie gragh(chart) 圆形图,饼型图palce (位)数plane 平面plus 加point 小数点pointer 指针point of tangency 切点polynomial 多项式pool 联营potion 一部分positive 正的power 幂,乘方preceding 在前的,先前的prime number 质数,素数probability 概率product (乘)积progression(series) 级数,同seriesprojected 被预测,被估计proportion 比,比率;比例 e.g. in proportion to与……成比例;Qquadrant 象限quadratic equation 二次方程quadrilateral 四边形quantity 数,数量quotient 商Rradical 根号,根式;radius 半径randomly 随机地rate 率,比率;速度,速率ratio 比,比率ray 射线real number 实数reciprocal 倒数rectangle 矩形rectangular 矩形的;成直角的remainder 余数remote interior angles 三角形一个外角对应的两个内错角repeating decimal 无限循环小数revolution 旋转e.g. revolutions per min每分钟转速rhombus 菱形right 直的root 方根;方程的根round 四舍五入Ssatisfy 使……成立scale drawing 按比例绘制(的图)scalene 不等边三角形,不等边的secant 割线section 断面,一部分cross section横截面sector 扇形segment 弓形;部分sequence 数列set 集合shaded region 阴影side 边,立体的面sign(symbol) 符号similar (三角形)相似的simple annual interest 年单利simple fraction 简分数simultaneously 同时地,同时发生地simultaneous equations 联立方程组slope (直线的)斜率solid 立体;立体的;实心的,单色的e.g.solid lines实线/solid colorsolution 解,答案sphere 球体square 正方形straight angle 平角,指180度的角aeas数学高频词汇表straight-line distance 直线距离subdivide 再分,细分subtract…from…从…减去…successive 连续的,相继的such that 使得满足…的条件sum 和supplement 补角,指两角之和为180度surface area 表面积Ttable 表格tangent 切线;相切的term 项times 倍;乘token 辅币toll 通行税total 合计to the nearest 10% 精确到10%transversal 横截线e.g. ~of parallel linestrapezoid 梯形triangle 三角形trinomial 三项式triple 三倍的Uuniform 一直不变的unit 单位unlike terms 非同类项unknown 未知量Vvalue 值variable 变量vertex 顶点vertical 垂直的;直立的;顶点的;对顶的XX-axis X轴X-coordinate X坐标XY-coordinate system 平面直角坐标系,同XY-planeYY-axis Y轴Y-coordinate Y坐标Zzero 零11。
数学知识之数学英语词汇(a字表)
数学知识之数学英语词汇(a字表)必备数学知识之数学英语词汇(a字表)algebraicform代数形式algebraicfraction代数分式algebraicfunction代数函数algebraicfunctionfield代数函数域algebraicgeometry代数几何学algebraicgroup代数群algebraichull代数包algebraichypersurfaceoftheseconedorder二阶代数超曲面algebraicinteger代数整数algebraicirrationalnumber代数无理数algebraicliealgebra代数的李代数algebraiclogicofpocketcalculator袖珍计算机的代数逻辑algebraicmultiplicity代数重度algebraicnumber代数数algebraicnumberfield代数数域algebraicnumbertheory代数数论algebraicoperation代数运算algebraicpolynomial代数多项式algebraicsingularity代数奇点algebraicspace代数空间algebraicspiral代数螺线algebraicstructure代数结构algebraicsum代数和algebraicsurface代数曲面algebraicsystem代数系algebraicvariety代数簇algebraicallyclosedfield代数闭域algebraicallydependentelements代数相关元algebraicallyequivalent代数等价的algebraicallyindependentelements代数无关元algebraization代数化algebrogeometric代数几何的` algebroidfunction代数体函数algebroidalfunction代数体函数algorithm算法algorithmofdivision辗转相除法algorithmofeuclid欧几里得算法algorithmtheory算法论algorithmiclanguage算法语言algorithmization算法化alignedsystematicsampling列系统抽样alignmentchart列线图aliquotpart整除部分alligation混合法allocationproblem配置问题allowable容许的allowabledefects容许靠allowableerror容许误差allowance允许almostall几乎处处almostboundedfunction殆有界函数almostcertainconvergence几乎必然收敛almostcomplexmanifold殆复廖almostconvergentsequence殆收敛序列almostequivalent殆等价almosteverywhere几乎处处almostimpossibleevent殆不可能事件almostinvariantset殆不变集almostperiodicfunction殆周期函数almostperiodicity殆周期性almostsignificant殆显著的alphacapacity容量alphalimitset极限集alphabetical字母的alphanumeric字母数字式alphanumericrepresentationofinformation信息的字母数字表示alternateangles错角alternatingchain交错链alternatingdifferentialform外微分形式alternatingdifferentialofdifferentialform微分形式的交错微分。
(完整版)数学英语词汇
数学英语词汇表[翻译必看]•一般词汇数学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 power n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 root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常量constant变量variable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有理数rational number无理数irrational number实数real number虚数imaginary number复数complex number矩阵matrix行列式determinant•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周长perimeter面积area轨迹locus, loca(pl.)相似similar全等congruent四面体tetrahedron五面体pentahedron六面体hexahedron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棱锥pyramid棱柱prism棱台frustum of a prism旋转rotation轴axis圆锥cone圆柱cylinder圆台frustum of a cone球sphere半球hemisphere底面undersurface表面积surface area体积volume空间space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双曲线hyperbola抛物线parabola•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 diagramwave equation波动方程tangental equation切线方程quartic equation四次方程式quadratic equation二次方程式magnitude equation【天】星等差linear equation一次方程式irreducible equation不可约方程integral equation积分方程indicial equation【数】指数方程indeterminate equation不定方程数学专业英语Lesson 2Mathematics as a Language of Scienceassert vt. 断言;坚持主张;维护表明qualitative adj. 性质的;定性的quantitative adj. 量的;数量的;定量的;与数量有关的astronomy n. 天文学postulate n. 假定, 基本条件, 基本原理vt. 要求, 假定vi. 要求hypothetical adj. 假设的, 假定的,爱猜想的deduction n.减除, 扣除, 减除额, 推论, 演绎induction n. 归纳;归纳法;归纳所得之结论verification n. 验证;证实correlate vt. 使相互关联vi. 和...相关discard vt. 丢弃, 抛弃v. 放弃discredit n. 不信任;失信consistent adj. 一致的, 调和的, 坚固的, [数、统]相容的inadequacy n. 不充分,不适当,不适合,不足额conic, conical adj 圆锥的;圆锥形的ellipse n. 椭圆, 椭圆形ellipt (n.)hyperbolic adj. 双曲线的hyperbola (n.)parabolic adj. 用寓言表达的: 抛物线的,像抛物线的parabola (n.) algebraic adj. 代数的, 关于代数学的mineralogy n. 矿物学refraction n. 折光, 折射stimulus n. 刺激物, 促进因素, 刺激, 刺激impetus n. 冲力推动力;刺激Lesson 3Axioms, definitions and Theoremsaxiom n. [数]公理definition n. 阐明;确定定义;界说extravagant adj. 奢侈的, 浪费的, 过分的, 放纵的collinear adj. 在同一直线上的, 同线的convex adj. 凸出的;凸面的segment n. 部分;片段;节, 弓形;圆缺;弧形, 线段conswquently adv. 从而, 因此in terms of adv. 根据, 按照, 用...的话, 在...方面pretense n. 主张, 要求, 伪称, 借口, 自称Lesson 4Geometry and Geometrical termsterm n. 学期, 期限, 期间, 条款, 条件, 术语triangle n. [数]三角形, 三人一组, 三角关系parallelogram n. 平行四边形straight angle n. [数]平角right angle n. 直角acute angle n. 锐角obtuse angle n. 钝角reflex angle n. 优角rectilinear adj 直线的;由直线组成的;循直线进行的isosceles triangle n. 等腰三角形equilateral triangle n. 等边三角形right triangle n. 直角三角形obtuse triangle n. 钝角三角形acute triangle n. 锐角三角形equiangular triangle n. 正三角形,等角三角形hypotenuse n. (直角三角形的)斜边circle 圆center 中心;中央;圆心diameter n. 直径radius n. 半径, 范围, 辐射光线, 有效航程, 范围, 界限circumference n. 圆周, 周围Lesson 5The Method of Limitslimit n. 限度,极限,极点infinite adj. 无限的;无穷的infinitesimal adj. 无穷小的, 极小的, 无限小的calculus n. 微积分学, 结石exemplify vt. 例证, 例示, 作为...例子inscribe v. 记下polygon n. [数]多角形, 多边形diminish v. (使)减少, (使)变小curvilinear adj 曲线的, 由曲线组成的intuition n. 直觉, 直觉的知识integral n. [数学] 积分, 完整, 部分defective adj. 有缺陷的, (智商或行为有)欠缺的differential coefficient 微分系数arithmetical adj. 算术的, 算术上的convergence n. 集中, 收敛criterion n. (批评判断的)标准, 准据, 规范sequence n. 次序, 顺序, 序列irrational numbers n. [数]无理数domain ,定义域contradiction 矛盾reversal n. 颠倒, 反转, 反向, 逆转, 撤销Lesson 6Functioncontinuous variable 连续变量;[连续变数]variation 变分, 变化interval 区间independent variable 自变量dependent variable 应变量rectangular coordinate 直角坐标abscissa n. 〈数〉横坐标ordinate n. [数]纵线, 纵座标gradient adj. 倾斜的 n. 梯度, 倾斜度, 坡度slope n. 斜坡, 斜面, 倾斜v. (使)顺斜Lesson 7Differential and Integral calculusdifferential adj. 微分的 n. 微分(differentiation)Integral n. [数学] 积分, 完整, 部分(integration)calculus n. 微积分学, 结石interrelation n. 相互关系trigonometry n. 三角法exponential adj. 指数的, 幂数的logarithm n. [数] 对数derivative n. 导数;微商tangent n. 切线, [数]正切counterclockwise adj. 反时针方向的 adv. 反时针方向(clockwise) definite integral 定积分approximation n. 接近, 走近, [数]近似值culminate v. 达到顶点mean n. 平均数, 中间, 中庸differential equation 微分方程extreme value n. 极值multiple integral 多重积分double integralline integralfunctional analysis 泛函分析Lesson 8 The Concept of Cardinal Number (I)cardinal number n. 基数(如:1, 2, 3, ... 有别于序数)denumerable adj. 可数的aggregate n. 合计, 总计, 集合体adj. 合计的, 集合的, 聚合的v. 聚集, 集合, 合计purport n. 主旨v. 声称fancier n. 空想家, 培育动物(或植物)的行家, 爱好者sniff v. 用力吸, 嗅, 闻到, 发觉, 轻视, 用力吸气n. 吸, 闻, 吸气声, 嗤之以鼻scheme n. 安排, 配置, 计划, 阴谋, 方案, 图解, 摘要v. 计划, 设计, 图谋, 策划, * n.(计算数学)方法,格式superior n. 长者, 高手, 上级adj. 较高的, 上级的, 上好的, 出众的, 高傲的cumbersome adj. 讨厌的, 麻烦的, 笨重的instruction n. 指示, 用法说明(书), 教育, 指导, 指令drastically adv. 激烈地, 彻底地conservation 守衡律quadrature n. 求积, 求积分interpolation n. 插值extrapolation n. [数]外推法, 推断internal point 内点identical adj. 同一的, 同样的generalized solution 广义解functional 泛函hydrodynamics 流体力学,水动力学divergence 发散(性),梯度,发散量play an important (fundamental ... ) role 起着重要的(...)作用integro-interpolation method 积分插值法Variational method 变分方法comparatively adv. 比较地, 相当地deficiency n. 缺乏, 不足fictive adj. 虚构的, 想象上的, 虚伪的self-adjoint (nonself-adjoint) 自治的,自伴的,自共轭的finite element method 有限元法spline approximation 样条逼近Particles-in-the-Cell 网格质点法herald n. 使者, 传令官, 通报者, 先驱, 预兆vt. 预报, 宣布, 传达, 欢呼advection n. 水平对流phenomenological adj. 现象学的, 现象的fluctuation n. 波动, 起伏optimism n. 乐观, 乐观主义pessimism n. 悲观, 悲观主义unjustified adj 未被证明其正确的mean-square 均方dispersion n. [数] 离差, 差量Polynomial n adj. [数]多项式的interpolation 插值arithmetic n. 算术, 算法rounding errors 舍入误差multiple n. 倍数, 若干subjective adj. 主观的, 个人的objective adj. 客观的,outcome n. 结果, 成果pattern n. 样品toss v. 投, 掷exhaust vt. 用尽, 耗尽, 抽完, 使精疲力尽divisible adj. 可分的dice, die n. 骰子assign vt. 分配, 指派attach vt. 缚上, 系上, 贴上v. 配属, 隶属于pitfall n. 缺陷chairperson 主席mechanics n. (用作单数)机械学、力学, (用作复数)技巧, 结构statics n. [物]静力学dynamics n. 动力学adequately adv. 充分地celestial adj. 天上的macroscopic adj. 肉眼可见的, 巨观的classical field theory 经典场理论rigit adj. 刚硬的, 刚性的, 严格的elastic adj. 弹性的plastic n. 可塑的,塑性的,塑料的quantum n. 量, 额, [物] 量子, 量子论inception n. 起初, 获得学位pertain v. 适合, 属于gravitation n. 地心吸力, 引力作用tide n. 潮, 潮汐, 潮流, 趋势monumental adj. 纪念碑的, 纪念物的, 不朽的, 非常的encompass v. 包围, 环绕, 包含或包括某事物ingredient n. 成分, 因素acquainted adj. 有知识的, 知晓的synonymous adj. 同义的configuration n. 构造, 结构, 配置, 外形reference n. 提及, 涉及, 参考, 参考书目inertia n. 惯性, 惯量attribute 特性momentum n. 动量proportional adj. 比例的, 成比例的, 相称的, 均衡的designate 指明negligible adj. 可以忽略的, 不予重视的projectile n. 射弹adj. 发射的ballistics n. 弹道学, 发射学intractable adj. 难处理的{Mechanics of a Particlein consequence of adv. 由于的...缘故exert vt. 尽(力), 施加(压力等), 努力v. 发挥, 竭尽全力, 尽galaxy n. 星系, 银河, 一群显赫的人, 一系列光彩夺目的东furnish vt. 供应, 提供, 装备, 布置v. 供给torque n. 扭矩, 转矩moment 力矩的friction 摩擦dissipation n. 消散, 分散, 挥霍, 浪费, 消遣, 放荡, 狂饮infer v. 推断Hooke s Law and Its Consequenceselasticity n. 弹力, 弹性constitutive adj. 构成的, 制定的atomistic adj. 原子论的crack n. 裂缝, 噼啪声v. (使)破裂, 裂纹, (使)爆裂continuum mechanics n. 连续介质力学superposition n. 重叠, 重合, 叠合strain n. 过度的疲劳, 紧张, 张力, 应变vt. 扭伤, 损伤v. 拉紧, 扯紧, (使)紧张, 尽力thermodynamics n. [物] 热力学reckon vt. 计算, 总计, 估计, 猜想vi. 数, 计算, 估计, 依赖, 料想lesson 20strength 强度load 载荷empirical 以经验为依据的member 构件isolated 孤立的segment 部分、段、节stress 应力strain 应变tension 拉伸shear 剪切bend 弯曲torsion 扭转、扭力insofar 在……范围cohesive 内聚性的tensile 拉力、张力stiffness 硬度furnish 供给Lesson 23 Fluid Mechanicseruption 喷发、爆发turbulent 湍流laminar 层流isothermal 等温isotropic 各向同性prevalent 普遍的、流行的tornado 旋风、飓风eddy 旋涡viscosity 粘性、粘度nonviscous 无粘性的rotation 旋转adiabatic 绝热的reversible 可逆的isentropic 等熵的instant 瞬时的streamline 流线stream tube 流管tangential 切线的incompressible 不可压缩的resultant 合成的,组合的downstream 下游的,顺流的elbow 弯管,肘similitude 相似性hydraulic 水力的,水力学的predominante 占主导地位spillway (河或水坝的)放水道,泄洪道prototype 原型,样板Lesson 24 Mechanical Vibration repetitive 重复的,反复的periodic 周期的,定期的tidal 潮的,像潮的stationary 固定的,不动的vibratory 振动的,摆动的propagation 传播couple v .连接,连合acoustic 听觉的,声学的annoyance 烦恼,困惑adjacent 接近的,邻近的damp 阻尼,衰减restore 复职,归还neutral 平衡exciting force 激励力resonant adj. 共振的,谐振的stiffness 刚度,刚性proportionality 成比例地inclusion 包含,包括magnitude 数值,大小substantially adv. 实质上的perturb 干扰,扰乱resonance n. 共振vibratory adj. 振动的, 可知的perceptible 可见的,可知的adudible 听得见的,可闻的foregoing 前述的impulsive 冲击的shock 冲击Fourier series 傅里叶级数excitation 激发,激励discrete 分离,离散的contend with 向…作斗争compressor 压气机fatigue 疲劳perceptible 可见的,可知觉的shredder 切菜器disposal 处理urban 都市的metropolitan 大都市的at-grade 在同一水平面上elevated 高架的guideway 导轨Lesson 25 A prefect to the Continuum Mechanics preface 序言continuum连续pl. continuuarigid body 刚体contemporary 当代的,同时期的widespread 分布广的, 普及的accommodate 容纳,使适应medium 介质plasticity 塑性residual 剩余的,残留的creep 蠕变,爬行,塑性变形aging 老化polymeric聚合(物)的sandy 沙的,沙质的aubterranean 地下的,隐藏的essence 精髓,本质thermodynamics 热力学self-similar 自相似expedient 方便的sonsolidate 把…联合为一体,统一justify 证明…有理radically 根本地,本质上deliberate 从容不迫的,深思熟虑Lesson 33 what is a computerAttribute v. 赋予medieval 中世纪的astronomer 天文学家Mars 火星resemble vt. 像,相似tedious adj. 冗长乏味的pulp 浆状物,果肉filter vt.过滤underlying adj. 潜在的, 基本的ore n. 矿沙,矿石perceive v. 察觉,看见intervention n. 干涉,插入intelligent adj. 有智力的,聪明的Lesson 34 A computer systemmanipulate vt. 操纵,使用chip n. 芯片etch vt. 蚀刻,蚀镂fingernail 指甲mount vt. 安装,安置assemble vt. 集合,聚集cabinet 橱柜execute vt. 执行,实现paycheck n.支付薪金的支票bar chart 直方图joystick 游戏杆encounter vt. 遇到,遇上Mathematical Modelingindustry n. 工业, 产业, 行业, 勤奋commerce n. 商业complexity n. 复杂(性), 复杂的事物, 复杂性career n. (原意:道路, 轨道)事业, 生涯, 速度outset n. 开端, 开始essence n. 基本, [哲]本质, 香精advocation n. (=advocacy)拥护支持provision n. 供应, (一批)供应品, 预备, 防备, 规定publicize v. 宣扬roundabout adj. 迂回的, 转弯抹角的n. 道路交叉处的环形路, 迂回路线, 兜圈子的话trial-error vt. n. 试制, 试生产maneuverability n. 可操作性, 机动性vehicle n. 交通工具, 车辆, 媒介物, 传达手段junction n. 连接, 接合, 交叉点, 汇合处ponder v. 沉思, 考虑contrive v. 发明, 设计, 图谋snooker n. (=snooker pool)彩色台球, 桌球context n. 上下文, 文章的前后关系deviation n. 背离notoriously adj. 声名狼籍的。
A-level数学词汇(P1-P4)
Pure mathematics1 1Algebraic expression代数表达式Index laws指数定律Indices(index的复数形式)指数Notation注释Simplify化简Power指数Base底Exponent指数Expression表达式Term项Numerator分子Expand展开Possible可能Fraction分数Bracket括号Product乘积Multiply乘Collecting like terms合并同类项Linear一次的Diagram图形Rectangle长方形Square正方形Length长度Width宽Side length边长Area面积Shade阴影Cuboid长方体Dimension维Show that证明Volume体积Given that已知Constant常数Value值Factorize因式分解Factor因子Opposite相反的Completely完全地Common factor公因式Quadratic二次的Form形式Real number实数Positive正的Negative负的Include包含Surd无理数Add加Sum和Take out提取Difference差Difference of two squares平方差Cancel取消,相互抵消Similarly同样的Rational有理的Rational number有理数Integer整数Square root平方根Evaluate求…的值Substitute代替Calculator计算器Square number平方数Irrational number无理数Decimal小数的Expansion展开式Never-ending无限的Never repeat不循环的Exact准确的Answer答案Manipulate操作Denominator分母Rationalizing denominator分母有理化Rearrange调整Prime质数Work out计算Hence然后Fully完全地State陈述Solve解决Equation方程2Quadratics二次方程式Quadratic equation二次方程Solution解Real solution实根Set设置Root根Distinct不同的Repeated root重根Case情况Straightforward简单直接的Symbol符号Plus加,正Minus减,负Factorization因式分解Shape形状Section部分Formula公式Reading off读取Coefficient系数Necessary必要的Significant figures有效数字Choose选择Suitable适当的Method方法Trapezium梯形Height高Discard丢弃Completing the square完全平方(配方)Frequently经常的Useful有用的Process过程Original最初的Determine决定Otherwise另外Function函数Mathematical数学上的Relationship关系Map映射Set集合Input输入Output输出Single单一的Notation符号Represent代表Domain定义域Range值域,范围Member成员Define定义Minimum最小的Occur发生Explain解释Consider考虑Graph图像Curve曲线Parabola抛物线Sketch画图Identify确定Key关键的Feature特征Overall整体的Cross交叉,横过Axis轴Coordinate坐标Turning point转折点(顶点)Maximum最大的Since因为Symmetrical对称的Symmetry对称性Line of symmetry对称轴Half-way位于中途的Explore探测Technology技术Plot绘制Scale刻度However但是,不管怎样Smooth平滑的Relevant相关的Intercept截距Label标记Axes(axis的复数)坐标轴Discriminant判别式Sign符号Check核实Inequality不等式Calculate计算Match匹配Prove证明Algebra代数学Diver跳水运动员Launch发射Springboard跳板Meter米Pool水池Second秒Model模型High高的Hit撞击Reach达到Non-zero非零3Equations and inequalities 方程和不等式Simultaneous联立的Linear simultaneous equations一次方程组Elimination消元法Substitution置换Quadratic simultaneous equations 二次方程组Up to直到,多达Make sure确保Correctly正确地Simplest最简的Graphically以图表形式As因为Satisfy满足Intersection相交Simultaneously同时地Intersect相交Once一次Twice两次Result结果,导致Produce产生Graph paper坐标纸Accurately准确地Verify验证Linear inequalities一次不等式Set notation集合符号Number line数轴Overlap重叠Separately单独地Illustrate图解,阐明Quadratic inequalities二次不等式Corresponding相应的Critical临界的Require要求Describe描述Interpret解释Region区域,范围Coordinate grid坐标网Dotted line虚线Solid line实线Vertex顶点Vertices(vertex的复数)顶点Within在内部,之内4Graphs and transformations 图像和转换Cubic三次的Cubic function三次函数Several几个Depend on取决于Touch接触Coordinate axes坐标轴Indicate表明,显示Reciprocal倒数的Reciprocal function反比例函数Such as例如Asymptote渐近线Approach接近Reach到达Quadrant象限Point of intersection交点Steeper更陡峭的Eventually最后,终于Reason理由,原因Appropriate恰当的Number数量Translate平移Transform改变Alter改动Subtract减Outside在外面Vertically竖直地Translation平移Vector矢量Horizontally水平地Direction方向In terms of用…来表示Slide滑动Stretch伸缩Scale factor比例系数Double两倍Halve减半,对分Inside在里面Triple三倍的Reflection反射(镜面对称) Alternatively二选一Parallel平行Lie on坐落在Pass through穿过Apply应用Unfamiliar陌生的,不熟悉的Specific特殊的Origin原点Position位置Image像Suggest提议Mark标记5Straight line graphs直线图像Gradient斜率Straight line直线Join连接Distance距离Formula公式Collinear共线的Intercept截距Define定义Either两者中的任一个Condition条件Triangle三角形General equation一般式Parallel平行Perpendicular垂直Whether是否Quadrilateral四边形Trapezium梯形Right angle直角Congruent全等的Neither两者都不Hypotenuse直角三角形斜边Line segment线段Scalene不等边的Respectively分别地Go through通过6Trigonometric ratios三角比Cosine rule余弦定理Miss缺失Version版本Exchange交换Standard标准Prove证明Opposite对边Adjacent邻边Pythagoras’theorem勾股定理Letter字母Round四舍五入Final最终的Coastguard海岸警卫队Station驻地Bearing方位Away from远离Appropriate适当的Mark标记Airport机场Due north正北Due east正东Due west正西Due south正南Sail航行Helicopter直升飞机Tee球座Flag旗Particular特定的Hole孔,洞Golf course高尔夫球场Yard码(1码=3英尺)Tee shot发球台Land着陆Largest最大的Farmer农场Field场地Fence栅栏Cargo货物Plane平面Kilometer千米Sine rule正弦定理Refer to涉及Data数据Remain剩余Located on坐落于Zookeeper动物管理员Enclosure围场Llama骆驼Diagonal对角线Surveyor检验员Measure测量Elevation高程,仰角Apart相距Assumption假设Mathematical数学的Model模型Obtuse钝角Acute锐角Isosceles等腰的Circle圆Radius半径Centre圆心Least最小的Instead代替Crane吊车Anchored固定Wreck破坏Suspend悬挂Cable缆绳Rotate旋转Level对准Proof证明Triangular plot三角图Involve涉及Trigonometry三角函数Encounter遇到Decide决定Mast桅杆In order that为了Interfere干扰Efficient有效的Hiker徒步旅行者Radar雷达Perimeter周长Tangent正切Periodic周期性的Repeat重复的Certain确定的Interval间距Period周期Undefined无意义的Knowledge知识Periodicity周期性Verify证明Variation变化Rock pool潮汐潭Midday中午During在…期间Non-exact非精准的Significant figure有效数字Windmill风车Sail帆Tower塔Deduce推导Dune沙丘Realistic现实的7Radians弧度Radian弧度So far到目前为止Probably大概,可能Degree度Revolution循环Around围绕Circle圆Subtend朝着Arc圆弧Circumference周长Convert转换Without没有Multiple倍数Arc length弧长Sector扇形Radius半径Contain包含Perimeter周长Border边界Pond池塘Consist由…组成Edge边缘Minor arc劣弧Major arc优弧Chord弦Diameter直径Template模板Brooch胸针Ferris wheel摩天轮Pod蚕茧,豆荚Estimate估计Speed速率Patio露台Lawn草坪Design设计Earring耳环Nearest最近点(精确到)Segment弓形Radii(radius的复数形式) A plot of…的一块Erect建造Along沿着Subtract减Tangent切线Ratio比例Bound关,围入Decimal place小数Midpoint中点Semicircular半圆Drawer抽屉Handle把手Difference差Badge徽章Equilateral等边的Railway铁路Track轨迹Prism三棱镜Attempt尝试Mistake错误8Differentiation微分Gradient斜率Constantly不断地Although然而Comment on对…评论Copy抄写,复制Complete完成Table表格Hypothesis假设Derivative导数Principle原理Detail细节Account解释Originate起源Formalize确定,形成Approach方式,方法Limit极限Tend to趋向Gradient function斜率函数Evaluate求…的值Fixed value定值Limiting value定值Definition定义One-at-a-time一次一个Turning point转折点(顶点)Slope斜率Disappear消失Polynomial多项式Normal切线First order derivative一阶导数Second order derivative二阶导数Rate of change变化率Respect to关于Displacement位移Acceleration加速度Local局部的9Integration积分Reverse相反的Differ不同Integrate求积分Integral积分Indefinite不确定的Indefinite integral不定积分Elongated拉长的,伸长的Arrow箭Fire射击Castle城堡Drop off下降Cliff悬崖Cyclist骑行者Pure mathematics2 1Algebraic methods代数方法Division除法Dividing polynomial多项式除法Finite有限的Whole number整数Long division长除法Quotient商Remainder余数Factor theorem因式定理Remainder theorem余数定理Logical逻辑的Structured有组织的Argument论据Statement命题Conjecture猜想Previously预先Establish建立Deduction推导Desired想要的Conclusion结论Odd number奇数Demonstration示范,演示Even number偶数Identical完全相等的Identity恒等式Parallelogram平行四边形Rhombus菱形Congruent全等的Exhaustion穷举法Consecutive连续的Square number平方数Break into拆分Is suited to适合于Disprove反驳Counter-example反例Sufficient充分的Prime number质数Divisible可整除的Either…or…二者择一的Cube number立方数Hold有效Claim宣称Opposite edge对边Hexagon六边形Regular hexagon正六边形Side length边长Reason原因2Coordinate geometry in the (x,y)plane解析几何Bisector二等分线Perpendicular bisector中垂线Averaging求平均值Endpoint端点Circumcentre外心Equidistant等距的Fixed point定点Vector向量Property性质Unique独一无二的Circumcircle外接圆3Exponentials and logarithms 指数和对数Exponential指数的Decrease减小Increase增加Smooth光滑的,平滑的Increasing function增函数Decreasing function减函数Justify证明Logarithms对数Specific特定的Button按钮Typically典型的Natural logarithms自然对数Instance实例Multiplication law乘法定律Division law除法定律Power law指数定律Recognize识别Attention注意Condition条件Complicated复杂的Whenever无论何时Convenient方便的Suppose假设Notice注意Particular特别的4The binomial expansion二项式展开Binomial二项式Pascal’s triangle杨辉三角(帕斯卡三角形)Immediately直接地Pattern图案Adjacent相邻的Investment投资Interest rate利率Annum年,岁Approximation近似值Ignore忽略Factorial notation阶乘Combination组合Superscript上标Subscript下标Probability可能性Toss投Likelihood可能性Ascending powers升幂Individual个别的Estimation估值Engineering工程学Science科学Percentage error百分误差Microchip微型集成电路片Faulty有缺点的Chip芯片Restrict限制Achieve达到School fair学校园游会Prize奖赏Digit数字Display显示5Sequences and series数列和级数Arithmetic sequence等差数列Arithmetic progression等差数列Common difference公差Arithmetic series等差级数(等差数列前n项求和)Exceed超过Inclusive包含的Stick棒子Pentagon五角形Geometric sequences等比数列Geometric progression等比数列Common ratio公比Converge收敛Alternating sequence交错数列Million百万Geometric series等比级数(等比数列前n项求和)Sum to infinity无限项求和Divergent发散的Convergent收敛的Recurring循环的Sigma notation求和符号Capital首都,大写字母Signify表示Recurrence relations递推关系Previous term前一项First term初项Generate生成,产生Periodic sequence周期数列Period周期Salary薪水Profit利润Predict预言Annual年度的Business商业Financial金融的Advisor顾问Fold折叠Thickness厚度Unrealistic不切实际的Investor投资人Account账户Thereafter以后Deposit存款,定金Wage工资Rise上升Gear齿轮Successive连续的Intermediate中间的Valuable有价值的Commission佣金Insurance保险Policy政策Prospector勘探者Drill钻孔Subsequent随后的Available可获得的Payment报酬Virus病毒Infect传染Diagnose诊断Overfish过度捕捞Chess象棋Chessboard棋盘Sponsored赞助的Polygon多边形Appointment约会,任命6Trigonometric identities and equations三角恒等式和方程Unit circle单位圆Anticlockwise逆时针Quadrant象限Equivalent相等的Equilateral triangle等边三角形Isosceles right-angled triangle等腰直角三角形Identity恒等式Reflex优角(大于180度,在第三、四象限)Principal value主值Inverse trigonometric function反三角函数Justification理由7Differentiation微分Strictly严格地Interval区间Stationary point驻点Local maximum局部最大Greatest value最大值Local minimum局部最小Least value最小值Point of inflection拐点,反曲点Immediate最接近的Vicinity邻近,附近Second derivative二次求导Rate of change改变的快慢Convex凸Concave凹Establish建立,证实Liter升Instant瞬间Tank水槽Cuboid长方体的Sheet薄片Metal金属Sphere球体Displacement位移Cylinder圆柱体Perimeter周长Semicircular半圆的Semicircle半圆Frame框架Split分离,分开Motion运动Damped阻尼Spring弹簧Bent弯的Biscuit饼干Tin罐头Close-fitting紧贴的Lid盖子Thin薄的,瘦的Wastage损耗Obtain获得Percentage百分比Store储存Capacity容量Container容器Calculus微积分学8Integration积分Definite integral定积分Indefinite integral不定积分Whereas反之,然而Upper limit上限Lower limit下限Square bracket中括号Magnitude大小Negligible可忽略的Straddle跨坐Unless除非Complicated复杂的Trapezium梯形Trapezium rule梯形法则Beneath在…下面Strip条,带Boundary边界Adjacent相邻的Improve改善Accuracy精确度Approximation近似值Underestimate低估Overestimate高估Compare比较Pure mathematics3 Common multiple公倍数Improper fraction假分数Partial fractions部分分数Degree次数Modulus function模函数Absolute value绝对值Argument辐角Set notation集合符号Piecewise-defined function分段函数Composite function复合函数Inverse function反函数Secant正割Cosecant余割Cotangent余切Interval区间Symmetry对称性Symmetrical对称的Chord弦Inverse trigonometric function反三角函数Addition formulae加法公式Compound-angle formulae复合角公式Double-angle formulae二倍角公式Round四舍五入Exponential function指数函数Natural logarithms自然对数Trend趋势Outlier极值Chain rule链式法则Product rule乘法法则Quotient rule除法法则Continuous连续的Fixed point iteration定点迭代Successive连续的Converge收敛Staircase diagram梯形图Cobweb diagram网状图Diverge发散Pure mathematics4 Contradiction反驳Assert主张Falsehood虚假Negation反论Prime number质数Split分解Separate独立的Parametric equation参数方程Variable变量Parameter参数Revolution循环Plot绘图Valid有效的As long as只要Condition条件Accurate精确的Ascending上升的Approximation近似值Implicit differentiation隐函数微分Explicitly明确的Implicit隐含的Rate of change变化率Hemisphere半球Cylindrical圆柱形的Conical圆锥形的Concave凹Convex凸Integrand被积函数Integration by substitution换元积分法Integration by part分部积分法Polynomial多项式Separating the variables分离变量General solution通解Boundary condition边界条件Directed line segment有向线段Parallelogram平行四边形Unit vector单位向量Column vector列向量Position vector位置矢量Scalene不等边的Clockwise顺时针Anticlockwise逆时针Coplanar共面的Parallelepiped平行六面体Trisect三等分Hexagon六边形Regular hexagon正六边形Direction vector方向向量Anchor固定Dot product点乘。
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。
部分常用数学术语词汇
Mathematics Vocabulary1.math, mathematics,maths(英) 数学2.add,addition,plus 加,加法3.subtract,subtraction,minus 减,减法4.multiply,times,of 乘5.divide,divide by 除6.sum 和7.difference 差8.product 积9.quotient 商10.perfect square 完全平方11.square root 平方根12.cube root 立方根13.power 幂14.fraction 分数15.proper fraction 真分数16.improper fraction 假分数17.numerator 分子18.denominator 分母19.decimal 小数20.parallel 平行21.multiple 倍数22.sequence 数列23.term 项24.like terms, similar terms 同类项25.operation 运算26.calculation 计算27.proportion 比例28.percentage 百分数29.factor 因子30.prime number 质数,素数31.prime factor 质因数32.lowest common multiple(LCM) 最小公倍数33.hightest common factor(HCF) 最大公约数34.natural number 自然数35.integer (whole number) 整数36.directed number 方向数37.number line 数轴38.horizental 水平的39.vertical 竖直的40.perpendicular 垂直的41.positive integer 正整数42.negative integer 负整数43.even number (even integer) 偶数44.odd number (odd integer) 奇数45.real number 实数46.rational number 有理数47.irational number无理数48.square number 平方数49.reciprocal 倒数50.set 集合51.bracket 括号52.element 元素53.finite set 有限集54.infinite set 无限集55.empty set 空集56.subset 子集57.proper subset 真子集58.universal set 全集59.intersection 交集60.union 并集61.disjoint 不相邻的plement 补集63.inverse 逆,反64.decimal 小数65.recurring decimal 循环小数66.round to 四舍五入67.to the nearest 四舍五入68.significant figure (s.f.) 有效数字69.ratio 比70.proportion 比71.direct proportion 正比例72.inverse proportion 反比例73.increase 增长的74.decrease递增的75.quantity量76.estimation 估算77.approximation 近似78.accurate 精确79.lower bound 下界80.upper bound上届81.algebra 代数82.algebraic expression 代数式83.variable 变量84.equation 方程85.linear eqution 线性方程,一次方程86.geometry 几何87.vertex 顶点88.line 直线89.plane 面90.angle角91.acute angle 锐角92.obtuse angle钝角93.right angle 直角94.triangle 三角形95.equilateral triangle 等边三角形96.isosceles triangle等腰三角形97.right triangle 直角三角形98.parallelogram 平行四边形99.sphere 球体100.pyramid椎体101.area 面积102.surface area表面积103.volume 体积104.angle bisector 角平分线105.coordinate 坐标106.length 长107.breadth (width) 宽108.perimeter 周长109.formula (复formulae) 公式110.substitution 代替111.velocity (speed, rate) 速度,速率112.sequence 数列113.mode众数114.median 中位数,中值115.average 平均数116.circle 圆117.radius (复radii) 半径118.diameter 直径119.arc 弧120.chord 弦121.tangent 切线122.normal 法线123.centre 圆心124.circumference (perimeter) 周长125.differentiation 微分126.derivative 导数127.slope (gradient) 斜率128.curve 曲线129.quadratic 二次的130.parabola (quadratic curve) 抛物线,二次曲线131.intersect 相交的132.maximum (point) 最大的133.minimum (point) 最小的134.function 函数135.linear function 一次函数,线性函数136.quadratic function 二次函数137.inverse function 反函数138.derived function 导函数139.domain 定义域140.range 值域141.interval 区间142.consequence 推论143.equality 等式144.inequality 不等式145.absolute value 绝对值146.isolated point 孤立点147.immediate neighbourhood 邻域148.turning point 转折点149.stationary point 不动点150.evidence (proof) 证明151.expression 表达式152.expansion展开式153.independent variable自变量154.dependent variable 因变量155.hypotenuse 斜边(直角三角形)156.rectangle 矩形157.inductive definition 归纳定义158.Pascal sequence 帕斯卡数列159.arithmetic sequence 等差数列mon difference 公差161.geometric sequence 等比数列mon ratio 公比163.factorial sequence 阶乘数列164.binomial theorem 二项式定理165.cofficient 系数166.constant 常数167.period 周期168.symmetry 对称169.in terms of 用….表示。
(完整版)数学英文词汇大全
(完整版)数学英文词汇大全微积分第一章函数与极限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--------------------------------------------------------------------------------2 高等数学-翻译等阶无穷小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 MeanValue Theorem of Differentials and the Application of Derivatives 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 th eorem泰勒公式Taylor formula余项remainder term拉格朗日余项Lagrange remainder term麦克劳林公式Maclaurin’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(antiderivative)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 anintegvals 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 Definite Integrals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 and Vector 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 of Several 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 and Surface 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 dirrerential 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 a differential 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 stata 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linera 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 linera differential equation线性相关linearly dependence线性无关linearly independce二阶常系数齐次线性微分方程second order homogeneourlinear 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 linera differential equations with constant coefficient线性代数Aadjont(adjugate) of matrix A A 的伴随矩阵augmented matrix A 的增广矩阵Bblock diagonal matrix 块对角矩阵block matrix 块矩阵basic solution set 基础解系CCauchy-Schwarz inequality 柯西-许瓦兹不等式characteristic equation 特征方程characteristic polynomial 特征多项式coffcient matrix 系数矩阵cofactor 代数余子式cofactor expansion 代数余子式展开column vector 列向量commuting matrices 交换矩阵consistent linear system 相容线性方程组Cramer’s rule 克莱姆法则Cross- product term 交叉项DDeterminant 行列式Diagonal entries 对角元素Diagonal matrix 对角矩阵Dimension of a vector space V 向量空间V的维数Eechelon matrix 梯形矩阵eigenspace 特征空间eigenvalue 特征值eigenvector 特征向量eigenvector basis 特征向量的基elementary matrix 初等矩阵elementary row operations 行初等变换Ffull rank 满秩fundermental set of solution 基础解系G[center]grneral solution 通解Gram-Schmidt process 施密特正交化过程Hhomogeneous linear equations 齐次线性方程组Iidentity matrix 单位矩阵inconsistent linear system 不相容线性方程组indefinite matrix 不定矩阵indefinit quatratic form 不定二次型infinite-dimensional space 无限维空间inner product 内积inverse of matrix A 逆矩阵Llinear combination 线性组合linearly dependent 线性相关linearly independent 线性无关linear transformation 线性变换lower triangular matrix 下三角形矩阵Mmain diagonal of matrix A 矩阵的主对角matrix 矩阵[center]negative definite quaratic form 负定二次型negative semidefinite quadratic form 半负定二次型nonhomogeneous equations 非齐次线性方程组nonsigular matrix 非奇异矩阵nontrivial solution 非平凡解norm of vector V 向量V的范数normalizing vector V 规范化向量Oorthogonal basis 正交基orthogonal complement 正交补orthogonal decomposition 正交分解orthogonally diagonalizable matrix 矩阵的正交对角化orthogonal matrix 正交矩阵orthogonal set 正交向量组orthonormal basis 规范正交基orthonomal set 规范正交向量组[b]Ppartitioned matrix 分块矩阵positive definite matrix 正定矩阵positive definite quatratic form 正定二次型positive semidefinite matrix 半正定矩阵positive semidefinite quadratic form 半正定二次型Qquatratic form 二次型[center]R[/center]rank of matrix A 矩阵A的秩r(A) reduced echelon matrix 最简梯形阵row vector 行向量Sset spanned by { } 由向量{ }所生成similar matrices 相似矩阵similarity transformation 相似变换singular matrix 奇异矩阵solution set 解集合standard basis 标准基standard matrix 标准矩阵Isubmatrix 子矩阵subspace 子空间symmetric matrix 对称矩阵Ttrace of matrix A 矩阵A 的迹tr(A)transpose of A 矩阵A的转秩triangle inequlity 三角不等式trivial solution 平凡解Uunit vector 单位向量upper triangular matrix 上三角形矩阵Vvandermonde matrix 范得蒙矩阵vector 向量vector space 向量空间Zzero subspace 零子空间zero vector 零空间(本文已被浏览133 次)概率统计概率论与数理统计词汇英汉对照表Aabsolute value 绝对值accept 接受acceptable region 接受域additivity 可加性adjusted 调整的alternative hypothesis 对立假设analysis 分析analysis of covariance 协方差分析analysis of variance 方差分析arithmetic mean 算术平均值association 相关性assumption 假设assumption checking 假设检验availability 有效度average 均值Bbalanced 平衡的band 带宽bar chart 条形图beta-distribution 贝塔分布between groups 组间的bias 偏倚binomial distribution 二项分布binomial test 二项检验Ccalculate 计算case 个案category 类别center of gravity 重心central tendency 中心趋势chi-square distribution 卡方分布chi-square test 卡方检验classify 分类cluster analysis 聚类分析coefficient 系数coefficient of correlation 相关系数collinearity 共线性column 列compare 比较comparison 对照components 构成,分量compound 复合的confidence interval 置信区间consistency 一致性constant 常数continuous variable 连续变量control charts 控制图correlation 相关covariance 协方差covariance matrix 协方差矩阵critical point 临界点critical value 临界值crosstab 列联表cubic 三次的,立方的cubic term 三次项cumulative distribution function 累加分布函数curve estimation 曲线估计Ddata 数据default 默认的definition 定义deleted residual 剔除残差density function 密度函数dependent variable 因变量description 描述design of experiment 试验设计deviations 差异df.(degree of freedom) 自由度diagnostic 诊断dimension 维discrete variable 离散变量discriminant function 判别函数discriminatory analysis 判别分析distance 距离distribution 分布D-optimal design D-优化设计Eeaqual 相等effects of interaction 交互效应efficiency 有效性eigenvalue 特征值equal size 等含量equation 方程error 误差。
(完整版)数学常用英文词汇
一、基本图形三角形:triangle矩形:rectangle正方形:square平行四边形:parallelogram梯形:tapezoid菱形:rhombus圆:circle四边形:quadrilateral二、基本立体图形正方体:cube长方体:rectangular prism圆柱体:right circular cyclinder 圆锥体:right circular cone球体:sphere三、基本计算量长度:length面积:area体积(容积):volume周长:perimeter表面积:surface area底面积:base area四、有关集合union 并集proper subset 真子集solution set 解集五、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real number,rational number 实数,有理数irrational(number)无理数inverse 倒数composite number 合数eg. 4,6,8,9,10,12,14,15……prime number 质数eg.2,3,5,7,11,13,15……reciprocal 倒数common divisor 公约数multiple 倍数(last)common multiple (最小)公约数(prime)factor (质)因子ordinary csale,decimal scale 十进制nonnegative 非负的tens 十位units 个位mode 众数median 中数common ratio 公比六、数列arithmetic progression(sequence)等差数列geometric progression(sequence)等比数列七、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parentheses 括号proportion 比例combination 组合table 表格trigonometric function 三角函数unit 单位,位八、其它几何1、所有的角alternate angle 内错角corresponding angle 同位角vertical angle 对顶角central angle 圆心角interior angle 内角exterior angle 外角supplement aryangles 补角complement aryangle 余角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 triangle 直角三角形oblique 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nonagon 九边形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cube 立方体,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depth 深度side 边长circumference,perimeter 周长radian 弧度surface area 表面积volume 体积arm 直角三角形的股cros section 横截面center of a circle 圆心chord 弦radius 半径angle bisector 角平分器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median of a triangle 三角形的中线base 底边,底数(e.g.2的5次方,2就是底数) opposite 直角三角形中的对边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number line 数轴quadrant 象限slope 斜率complex plane 复平面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 多边的基本数学词汇:加:plus / and / positive减:minus / negative / subtract 差:difference乘:multiplied by / times乘方:power积:product除:divided bydivisible 可被整除的dividedevenly 被整除dividend 被除数商:quotient余数:remainder阶乘:factorial等于:equal不等于:not equal to大于:greater than小于:less than大于等于:equal or greater than 小于等于:equal or less than约等于:approximate equal round to / to the nearest 四舍五入因为:because所以:therefore开平方:square root of开立方:cube root ofradical sign,root sign 根号绝对值:the absolute value函数:function图形:figure角:angle直角:right angle锐角:acute angle对折:fold分数:fractionX-轴:X-axesY-轴:Y-axes其它sequence 次序geometric 几何的integer 整数ratio 比例positive 正的tangent 切线(也是正切tan)radius / radii 半径inequality 不等式vertex 顶点range 值域like terms,similar terms 同类项original equation 原方程(least)common denominator (最小)公约数arithmetic mean 算术平均数weighted average 加权平均值exponent 指数,幂variable 变量inverse function 反函数factorization 因式分解dozen 打(12个)score 廿(20个)quart 夸脱gallon 加仑(1 gallon = 4 quart)。
高考数学高频词汇
高考数学高频词汇
1. 代数
- 代数式(Algebraic expression):用字母和数的运算符号表示的式子,它可以表示具有任意值的数。
- 方程(Equation):一种含有未知数的等式,常用于描述各种数学问题。
- 不等式(Inequality):含有不等号的等式,用于表示两个数之间的大小关系。
2. 几何
- 直线(Line):在平面上无限延伸的轨迹,由一点方向上无限连续延伸。
- 角(Angle):由两条不平行线段所夹的部分,常用度数或弧度表示。
- 三角形(Triangle):由三条线段组成的图形,其中每两条线段之间的夹角为直角、锐角或钝角。
3. 概率与统计
- 概率(Probability):在随机试验中某个事件发生的可能性。
- 样本空间(Sample space):所有可能结果的集合。
- 频率(Frequency):某个事件在多次试验中出现的次数。
4. 数列与数理逻辑
- 等差数列(Arithmetic progression):数列中每个数与它的前一个数之差相等的数列。
- 等比数列(Geometric progression):数列中每个数与它的前一个数之比相等的数列。
- 命题(Proposition):用陈述句形式的数学语句,可以是真或假。
以上是一些高考数学中常见的高频词汇,了解和掌握这些词汇的含义对于解题非常重要。
祝您在高考数学中取得好成绩!。
数学专业英语词汇速记
数学专业英语词汇速记数学专业英语词汇速记快到署假了,同学们也不要放松对英语的学习哦,应届毕业生网店铺特地总结了数学专业英语词汇速记表,拿去不谢。
代数部分1. 有关算数add,plus 加subtract 减difference 差multiply, times 乘product 积divide 除divisible 可被整除的divided evenly 被整除dividend 被除数,红利divisor 因子,除数quotient 商remainder 余数factorial 阶乘power 乘方radical sign, root sign 根号round to 四舍五入to the nearest 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(e.g. 5x+6=22) 4.有关分数和小数proper fraction 真分数improper fraction 假分数mixed number 带分数vulgar fraction,common fraction 普通分数simple fraction 简分数complex fraction 繁分数numerator 分子denominator 分母(least) common denominator (最小)公分母quarter 四分之一decimal fraction 纯小数infinite decimal 无穷小数recurring decimal 循环小数tenths unit 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,立方体square root 平方根cube root 立方根common logarithm 常用对数digit 数字constant 常数variable 变量inverse function 反函数complementary function 余函数linear 一次的,线性的factorization 因式分解absolute value 绝对值,e.g.|-32|=32round 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real number, rational number 实数,有理数irrational(number) 无理数inverse 倒数composite number 合数e.g. 4,6,8,9,10,12,14,15……prime number 质数e.g. 2,3,5,7,11,13,15…… 注意:所有的质数(2除外)都是奇数,但奇数不一定是质数 reciprocal 倒数common divisor 公约数multiple 倍数(least)common multiple (最小)公倍数(prime) factor (质)因子common factor 公因子ordinary scale, decimal scale 十进制nonnegative 非负的tens 十位units 个位mode 众数median 中数common ratio 公比7.数列arithmetic progression(sequence) 等差数列geometric progression(sequence) 等比数列approximate 近似(anti)clockwise (逆) 顺时针方向cardinal 基数ordinal 序数direct proportion 正比distinct 不同的estimation 估计,近似parentheses 括号proportion 比例permutation 排列combination 组合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 同位角下载文档。
数学常用英文词汇-数学常用英文词汇
数学常用英文词汇|数学常用英文词汇一、基本图形三角形:triangle矩形:rectangle正方形:square平行四边形:parallelogram梯形:tapezoid菱形:rhombus圆:circle四边形:quadrilateral二、基本立体图形正方体:cube长方体:rectangularprism圆柱体:rightcircularcyclinder圆锥体:rightcircularcone球体:sphere三、基本计算量长度:length面积:area体积(容积):volume周长:perimeter表面积:surfacearea底面积:basearea四、有关集合union并集propersubset真子集solutionset解集五、有关数论naturalnumber自然数positivenumber正数negativenumber负数oddinteger,oddnumber奇数eveninteger,evennumber偶数integer,wholenumber整数positivewholenumber正整数negativewholenumber负整数consecutivenumber连续整数realnumber,rationalnumber实数,有理数irrational(number)无理数inverse倒数compositenumber合数eg.4,6,8,9,10,12,14,15……primenumber质数eg.2,3,5,7,11,13,15……reciprocal倒数commondivisor公约数multiple倍数(last)commonmultiple(最小)公约数(prime)factor(质)因子ordinarycsale,decimalscale十进制nonnegative非负的tens十位units个位mode众数median中数commonratio公比六、数列arithmeticprogression(sequence)等差数列geometricprogression(sequence)等比数列七、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parentheses括号proportion比例combination组合table表格trigonometricfunction三角函数unit单位,位八、其它几何1、所有的角alternateangle内错角correspondingangle同位角verticalangle对顶角centralangle圆心角interiorangle内角exteriorangle外角supplementaryangles补角complementaryangle余角adjacentangle邻角acuteangle锐角obtuseangle钝角rightangle直角roundangle周角straightangle平角includedangle夹角2、所有的三角形equilateraltriangle等边三角形scalenetriangle不等边三角形isoscelestriangle等腰三角形righttriangle直角三角形oblique斜三角形inscribedtriangle内接三角形3、有关收敛的平面图形,除三角形外semicircle半圆concentriccircles同心圆quadrilateral四边形pentagon五边形hexagon六边形heptagon七边形octagon八边形nonagon九边形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regularpolygon正多边形rhombus菱形trapezoid梯形4、其它平面图形arc弧line,straightline直线linesegment线段parallellines平行线segmentofacircle弧形5、有关立体图形cube立方体,立方数rectangularsolid长方体regularsolid/regularpolyhedron正多面体circularcylinder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depth深度side边长circumference,perimeter周长radian弧度surfacearea表面积volume体积arm直角三角形的股crossection横截面centerofacircle圆心chord弦radius半径anglebisector角平分器diagonal对角线diameter直径edge棱faceofasolid立体的面hypotenuse斜边includedside夹边leg三角形的直角边medianofatriangle三角形的中线base底边,底数(e.g.2的5次方,2就是底数)opposite直角三角形中的对边midpoint中点endpoint端点vertex(复数形式vertices)顶点tangent切线的transversal截线intercept截距7、有关坐标coordinatesystem坐标系rectangularcoordinate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complexplane复平面8、其它planegeometry平面几何trigonometry三角学bisect平分circumscribe外切inscribe内切intersect相交perpendicular垂直pythagoreantheorem勾股定理congruent全等的multilateral多边的基本数学词汇:加:plus/and/positive减:minus/negative/subtract 差:difference乘:multipliedby/times乘方:power积:product除:dividedbydivisible可被整除的dividedevenly被整除dividend被除数商:quotient余数:remainder阶乘:factorial等于:equal不等于:notequalto大于:greaterthan小于:lessthan大于等于:equalorgreaterthan 小于等于:equalorlessthan约等于:approximateequal roundto/tothenearest四舍五入因为:because所以:therefore开平方:squarerootof开立方:cuberootof radicalsign,rootsign根号绝对值:theabsolutevalue函数:function图形:figure角:angle直角:rightangle锐角:acuteangle对折:fold分数:fractionX-轴:X-axesY-轴:Y-axes其它sequence次序geometric几何的integer整数ratio比例positive正的tangent切线(也是正切tan)radius/radii半径inequality不等式vertex顶点range值域liketerms,similarterms同类项originalequation原方程(least)commondenominator(最小)公约数arithmeticmean算术平均数weightedaverage加权平均值exponent指数,幂variable变量inversefunction反函数factorization因式分解dozen打(12个)score廿(20个)quart夸脱gallon加仑(1gallon=4quart)。
(抱佛脚必备)数学专业英语重点词汇
【Mathematical analysis】1 、上确界(supremum value) 下确界(infimum value)2 、极限(limit) 导数(derivative) 一阶导数(firstderivative) 二阶导数(second derivate)偏导数(partialderivative)方向导数(directional derivative)3 、泰勒展式(Taylor’s expansion) 洛必达法则(L’Hopital’srule) 链式法则(chain rule)连续可微(continuouslydifferentiable)4、微积分 (calculus)微分(differential)级数(series)积分(integral)原函数 (antiderivative)不定积分(indefinite integral)定积分(definite integral)5 、调和级数(harmonic series)马克劳林级数(Maclaurin series)交错级数 (alternating series)傅里叶级数(Fourier series)6 、二重积分(double integral)三重积分(triple integral)多重积分(multiple integral) 格林公式(Green’s formula)斯托克斯定理(Stokes’ theorem)7、收敛(convergence)发散(divergence)一致收敛(uniformly convergent)绝对收敛(absolutely convergent)条件收敛(conditionally convergent) 连续(continuity) 一致连续(uniformly continuous)8 、指数函数(exponential function)对数函数(logarithmicfunction)幂函数(power function)初等函数(elementary function)三角函数(trigonometric function) 调和函数(harmonic function) 周期函数(periodic function) 可微函数(differential function)单调函数(monotonefunction)9 、素数(prime number) 正数(positive number) 负数(negative number) 相反数(opposite number) 自然数(natural number) 有理数(rational number)无理数(irrational number)实数(real number)虚数(imaginarynumber)复数(complex number) 10、等式(equality)不等式(inequality)三角不等式(triangle inequality)勾股定理(Pythagorean theorem)无穷大(infinity)无穷小(infinitesimal)【Linear algebra】1、向量(vector)秩(rank)行列式(determinant)线性方程(linear equation)2 、奇异矩阵(singular matrix)可逆矩阵(invertible matrix)逆矩阵(inverse matrix) 转置矩阵(transposed matrix)酉矩阵(unitary matrix)对称矩阵(symmetric matrix)正定矩阵(positive definite matrix)负定矩阵(negative definitematrix) 雅克比矩阵(Jacobian matrix)3 、迹(trace)主子式(principle minor)代数余子式(algebraic cofactor)4 、二次型(quadratic form)标准型(normal form)最小多项式(minimal polynomial) 特征多项式(characteristicpolynomial)约当块(Jordan block)5 、特征值(eigenvalue)特征向量(eigenvector)约当标准型(Jordan canonical form)6 、几何重数(geometric multiplicity)可对角矩阵(diagonalizable matrix) 【Analytic Geometry】1 、平面几何(plane geometry) 立体几何(solid geometry)射影几何(projective geometry)代数几何(algebraicgeometry)黎曼几何(Riemann geometry)微分几何(differential geometry)几何分析(geometryanalysis)分形几何(fractal geometry)2 、平行线(parallel line) 中线(median line) 直线(straightline) 垂直线(vertical line)水平线(horizontal line)切线(tangent line)法线(normal line)3 、抛物线(parabola)椭圆(ellipse)双曲线(hyperbola)斜率(slope) 【Complex analysis】1 、解析函数(holomorphic function) 留数定理(residualtheorem) 柯西积分公式 (Cauchy’s integral formula)2 、定义域(domain) 值域(range) 像(image) 中值定理(mean value theorem)3 、凸函数(convex function) 凸集(convex set) 变分不等式(variational inequality) 变分法(calculus of variation)线性规划(linear programming)【Real analysis】1 、测度(measure) 可测函数(measure function) 可积函数(integrable function) 平方可积函数(square integrablefunction)黎曼积分(Riemann integral) 勒贝格积分(Lebesgue integral)【Functional analysis】1 、内积(inner product) 向量积(cross product)范数(norm)2 、向量空间(vector space)距离空间(distance space)拓扑空间(topological space) 测度空间(measure space)线性空间(linear space)内积空间(inner product space) 希尔伯特空间(Hilbert space) 赋范空间(normed space) 巴拿赫空间(Banach space)完备空间(complete space)可分空间(separable space) 概率空间(probability space)3 、有穷维的(finite dimensional)无穷维的(infinitedimensional)基底(basis) 线性相关(linear dependence) 线性无关(linear independence) 最佳逼近(bestapproximation ) 最大值原理( maximum principle) 比较原理( comparison principle)最小二乘(least squares)4、泛函(functional)线性算子(linear operator)有界线性算子(bounded linear operator) 有界线性泛函(boundedlinear functional) 闭图像定理(closed graph theorem)一致有界定理(uniform boundedness principle)不动点定理(fixed point theorem)压缩映照定理(contraction mapping theorem)【Supplements】1 、引理(lemma)推论(corollary)公理(axiom)命题(proposition)猜想(conjecture) 数学归纳法(mathematical induction) 充分性(sufficiency) 必要性(necessity) 反例(counterexample)2、加法(addition)减法(subtraction)乘法(multiplication)除法(division)3、理想(ideal)环(ring)单位(unit)陪集(coset)群(group)域(field)置换群(permutation group)有限群(finite group)同态(homomorphism) 同构(isomorphism)维数(dimension)4 、抽象代数(abstract algebra) 广义函数论(theory of distribution) 弦理论(stringtheory) 随机变量(random variable) 动力系统(dynamical system) 偏微分方程(partial differentialequation)。
(完整版)最完整的数学相关词汇表
(完整版)最完整的数学相关词汇表数学词汇类术语Aabbreviation 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(完整版)最完整的数学相关词汇表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an 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(完整版)最完整的数学相关词汇表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 抛物线的轴axis of revolution 旋转轴axis of rotation 旋转轴axis of symmetry 对称轴back substitution 回代(完整版)最完整的数学相关词汇表Bbar 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Ccalculation 计算calculator 计算器;计算器(完整版)最完整的数学相关词汇表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(完整版)最完整的数学相关词汇表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(完整版)最完整的数学相关词汇表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(完整版)最完整的数学相关词汇表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(完整版)最完整的数学相关词汇表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(完整版)最完整的数学相关词汇表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Ddamped oscillation 阻尼振动(完整版)最完整的数学相关词汇表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(完整版)最完整的数学相关词汇表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。
AEAS高频词汇 (1-11)
AEAS 1-11•I continued this state for ten days in the United States of America, because I have to make a statement at some point.•I have a special way of study, especially of English.•My father specializes in law, he is a specialist of law, his speciality is law.•These specialized books are used to make us understand more of this specialization. •You must specify a species to this experiment. The species you chose have big ears specifically. The specific ears can make people recognize them easily.•Our needs can differ from day to day, the difference can make us know that now is very different from before, it differentiates now and before.•If you want to tell someone that he did something wrong , you need to find an appropriate way to do it, don't use some inappropriate ways.•The manager asked all staff to gather around in front of the company’s gate.•She dared not contradict him, by contrast ( on the contrary ), his contradictions are always aim at her.•The claimant’s lawyer claimed that they have right to reclaim this region, the reclamation is legal.•The similarity of these knowledge confused me, because they are similar. Similarly, my assimilation of these knowledge is not very good.•The evidence of this crime is quite evident.•What is your major? I major in law, a major problem of my study is that I cant remember so many different words, which is also the main problem of the majority of people.•Even though we already understood this chapter, we still should go further to explore more knowledge, it can help us to understand this chapter completely. Furthermore,we can learn more other knowledge by ourselves.。
【AEIS词汇汇总】AEIS数学经典词汇汇总
AEIS数学考试中需要用到一些英语词汇,为了避免考生因为词汇问题影响了AEIS数学成绩,下面AEIS考试网整理了AEIS数学真题中经常会用到的英语词汇,希望给广大考生一点帮助。
1. apiece 每人2. absolute value 绝对值,如 | 5 | = | -5 |3. add (addition) 加(加法)4. average value 平均值(arithmetic mean)5. algebra 代数6. algebraic expression 代数式7. algebraic fraction 分式,如8. algebraic term 代数项9. arithmetic mean 算术平均值10. arithmetic progression ( sequence ) 等差数列11. adjacent angle 邻角12. amount to 合计13. angle 角14. alternate angle 内错解15. alternant 交替函数,交替行列式16. approximate 近似17. abscissa 横坐标18. angle bisector 角平分线19. altitude 高20. arc 弧21. arm 直角三角形的股22. acute angle 锐角23. adjacent vertices 相邻顶点24. bar graph 柱状图25. base 底边,乘幂的底数,如中的626. binomial 二项式27. bisect 平分28. brace 双,如:a brace of dogs 两只狗29. billion 10亿30. common denominator 公分母31. common factor 公因子32. common multiple 公倍数33. common base triangles 共底三角形34. common divisor 公约数35. common fraction 普通分数,简分数36. common logarithm 常用对数37. common ratio 公比38. common year 平年,指365天的一年39. complex fraction 繁分数40. complex plane 复平数。
(完整word版)AEAS数学考试真题
AEAS考试真题1。
What will it cost to carpet a room with indoor/outdoor carpet if the room is 10 feet wide and 12 feet long? The carpet costs 12。
51 per square yard.A。
$166.80B. $175。
90C. $184。
30D. $189.90E。
$192.202. If the perimeter of a rectangular house is 44 yards, and the length is 36 feet, what is the width of the house?A。
10 yardsB. 18 yardsC. 28 feetD. 32 feetE. 36 yards3。
What is the volume of the following cylinder?A。
210.91C. 75。
36D. 904.32E. 28。
264。
What is the volume of a cube whose width is 5 inches?A。
15 cubic inchesB。
25 cubic inchesC. 64 cubic inchesD. 100 cubic inchesE. 125 cubic inches5。
Sally has three pieces of material. The first piece is 1 yd. 2 ft。
6 in. long,the second piece is 2 yd. 1 ft. 5 in long, and the third piece is 4 yd. 2ft。
8in long. How much material does Sally have?A. 7 yd。
(完整word)AEAS核心高频词汇++
1state n. vt.For the century before Johnson’s Dictionary was published in 1775 there had been concernabout the state of the English language.statement n.2special adj.especially adv.specialization n.specialise v.specialised adj.In the 19th century, new, specialised, professional societies were instituted to promote andpublish in the new disciplines.specialist n.speciality n.specify vt.specific adj.An early scientific journal fostered a new kind of writing based on short descriptions ofspecific experiments.specifically adv.species n.Extinct species are being replaced by new species.3differ vi.In both cases the critical day length differ s from species to species.difference n.different adj.Different groups of researchers attacked differen t problems, from speech recognition tochess playing, in different ways.differentiate v.4appropriate adj.inappropriate adj.5staff n.6contradict vt.contradiction n.contrary adj.contrast vt.7claim n. vt.claimant n.reclaim vt.Across Europe similar academies and societies arose, creating new national traditions ofscience.similarly adv.similarity n.assimilation n.9evidence n.There is plenty of scientific evidence to support photoperiodism.evident adj.10major n. adj. vi.Grime (1966) suggests that light may be one of the major components directing theseadaptations.majority n.11further adj. vt.furthermore adv.12involve t.Kant believed that a successful joke involve s the controlled release of nervous energy. involvement n.revolve v.revolution n.revolutionary adj. n.revolutionise vt.evolve vt.evolution n.evolutionary adj.13complete adj. vt.It was a very expensive and time-consuming process that took around six months tocomplete.completely adv.completion n.Johnson only received payment for his Dictionary on its completion.accomplish vt.accomplishment n.14suit v. n.suitable adj.Latin was suitable for an international audience of scholars, whereas English reached asocially wider, but more local, audience.suitcase n.Most comedians use personal situations as a source of humour.personalize v.personality n.Researchers claim that the human personalit y is formed during the first two years of life. personnel n.16accommodate vt.accommodation n.17economy n.economic adj.It would be best to attempt to slow down economic growth.economical adj.economist n.economics n.18alter v.alternative n. adj.alternate adj. v.19effect n.effective adjeffectiveness n.effort n.affect vt.affection n.affective adj.affecting adj.efficient adj.efficiency n.sufficient adj.insufficient adj.20experiment n. vi.experimental adj.experimentation n.experimenter n.21approach n. vt.His approach to the problems that had worried writers throughout the late seventeenth andearly eighteenth centuries was intensely practical.approachability n.22previous adj.gene n.genetic adj.genetics n.24object n. vi.objection n.objective n. adj.25amount n. vi.(to)26mean adj. vt. n.meaning n.meaningful adj.27coal n.coal-mining n.28quality n.qualify v.qualification n.qualitative adj.29medicine n.medical adj.medication n.30term n.termly adj.terminology n.31perform vt.performance n.32subject n. adj.Several of the subject s were psychology students at Yale University. subjective adj.Peter Derks believes that humour relate to a person's subjective views.33sense n. vt.Johnson was a poet and critic who raised common sense to the heights of genius. sensation n.sensitive adj.sensitivity n.sensor n.present n. adj. vt. presence n.present-day n. presentation n. presently adv. represent vt. representation n. representative n. adj.35particular adj. n. particulate n.adj.36union n.unify vt.uniform n. adj. uniformity n.unique adj.unit n.united adj.unity n. universe n. university n.37company n. accompany vt.38survey n. vt. surveyor n.39count n. vt. account n. vi. accountant n. accounting n. accountancy n.40significant adj. significance n. signification n.41organ n.organic adj. organism n. organize vt. organization n.position n. vt. post n. vt.43complex adj. n. complexity n. complicated adj.44vehicle n. vehicular adj.45loan n. v.46access n. accessible adj. accessory n. adj.47vision n. visual adj. visional adj. visible adj. invisible adj. visit n. vt. visitor n.50speech n.51situation n. situate vt.52greenhouse n.53progress n. vi. progressive adj. progression n.54pop n. adj. popular adj. popularity n. populace n. population n.55temperature n. temperate n. temperate-climate n.various adj. variety n. variation n. variable n. adj. variability n.57impact n. vt. 58facility n. facilitate vt. facilitator n.59form n. v. formal adj. formality n. format n. vt. formation n. formative adj. formulate vt. v. formulation n. former adj.60potential adj. n. potentiality n.61sum n. summary n. summarise vt.62thief n.theft n.之二63delta n.64necessary n. adj. necessity n.65describe vt. description n. describable adj.66produce n. vt.product n. production n. productive adj. productivity n.67public n. adj. publicise vt. publicity n. publish vi. vt. publication n. publisher n.68academic adj. academy n.69general n. adj. generally adv. generalise vt. generalisation n.70physical adj. physiology n. physiological adj.71nickel n.72issue n., vi.73therapy n. therapist n.74policy n. politics n. political adj. politician n. police n. adj. 75require vt. requirement n. requisite adj. n. request vt. n.76success n. successful adj.77stage n. vt.78community n.communist n. adj. communicate v. communication n. communicative adj. communicator n.交流者, 发报机79absence n.absent adj. absenteeism n.80origin n.original adj. n. originality n.originate vt. vi. aboriginal adj.aborigines n.81create vtcreation n.creative adj.creativity n.creature n.recreation n.82associate vt. vi. association n.83lingual adj.linguistic adj.linguistics n.linguist n.bilingual adj. n.84tradition n.traditional adj.85divide v.division n.divisible adj.86region n. regional adj.88establish vt. establishment n.89commerce n. commercial adj. commercialise vt. commercialisation n. merchant n. merchandise n. vt.90essence n. essential adj.本91tablet n.92surface n. adj.93function n. vi. functional adj.94nature n. natural adj. naturalistic adj. naturalism n.95finance n. vt. financial adj.96coach n. v. 97relate vt. relation n. relationship n. relative n. adj. relatively adv.98native n. adj. 99steam n. vi. 100theory n.corporate adj. 102sediment n. sedimentation n.103principle n. principal n. adj. 104institute n. vt. institution n. institutional adj. institutionalise v.105character n. characterise vt. characteristic adj. n. 106destroy vt. destruction n. destructive adj. 107lead vt. n. leadership n. leading adj. 108apply vt. application n. applicant n.109endanger vt. endangered adj. 110marble n. adj. 111value n. vt. valuable adj. evaluate vt. evaluation n. invaluable adj. 112series n. serial n.113wheel n.115machine n. machinery n. mechanical adj. mechanism n. 116circle n. v. circuit n. circulation n. circumscribe vt. circumstance n. 117example n. exemplify vt. 118erode vt. erosion n. 119athlete n. athletic adj. athletics n. 120credit n. vt. accredited adj. discredited adj. credible adj. incredible adj. credibility n. 121sake n. 122anthropology n. anthropological adj. anthropologist n. 123society n. social adj. socialise v. sociology n. sociological adj. 124add vt. addition n. additional adj.carbolic adj.126leisure n.127concern vt. n. concentrate v. concentration n.128rate n. vt. ratio n.129reflect v. reflection n.reflex adj. n. 130proportion n. vt. disproportionate adj.之三131contain vt. container n.132direct adj. vt. direction n. director n. directory n.133erupt vt. eruption n.134site n. vt. 135archaeology n. archaeological adj. archaeologist n.136mould n. v. 138occur vi. occurrence n.139private adj. privacy n.140analyst n. analytical adj.141breed v. n. inbreed vt.142fuel n. vt.143pattern n. vt. patterning n.144extra adj. extraordinary adj.145attempt n.146intelligent adj. intelligence n. intellectual adj. n. 147annual n. adj. 148ensure vt.assure vt. assurance n.insure vt. insurance n.149billion n./adj. crystal adj. n.150disease n.151positive adj. adj. adj. 152motion n. v. motivate v. motivation n.motive adj. n. motor n. motorway n. motorist n.154press n. vt pressing adj.depress v. depression n. oppress v. oppression n.155invent vt. invention n. inventive adj. 156structure n. vt. infrastructure n. construct vt. construction n.157measure n. vt. measurement n. measurable adj. 158demand n. v. demanding adj. 159continue v. continuity n. continuous adj. continual adj. 160hemisphere n.161recycle v.162scheme n. v. 163maximum n. adj maximal adj. maximize vt.164avoid vt. avoidance n. unavoidable adj. 165survive v. survival n. survivor n.166charge n. v.real adj. really adv reality n. realistic adj. realise vt. realisation n.168lack n. vt. 169identity n. identify vt. identification n. identical adj. 170approximately adv. 171habit n. habitual adj. habitat n. inhabit vt. inhabitant n.172mass n. adj. mass-produced adj. massive adj. 173customer n. custom n.174image n. vt. imagine vt. imagination n. imaginative adj. 175critic n. critical adj. criticise vt. criticism n. criteria n. criterion n.176courage n. encourage vt. encouragement n. encouraging adj.discouraging adj.177contact n. vt. 178super adj. superb adj. superior n. adj. superiority n. supersede vt. supervise vt. supervision n. supervisor n. supervisory adj. supreme adj.179consume vt. consumption n. consumer n. consumerism n.180pane n. panel n.181reason n. vt. reasoning n. adj. reasonable adj.182standard n. adj. standardise v.183volume n.184crop n. vt. cropland n.185diagram n.186plastic n. adj. 187respond vt. response n. responsible adj. responsibility n. responsive adj. responsiveness n.corresponding adj.188hypothesis (复数hypotheses)n. hypothesize v.hypothetical adj.189urban adj.urbanisation n.190apply vt.application n.applicant n.191advertise vt.advertisement n.192purpose n. vt.193document n. v.documentary n. adj. documentation n.194emphasize vt.emphasis n.195dam n. v.196period n.periodic adj.periodical n. adj.197cancer n.cancer-causing adj.198believe vt.belief n.believable adj.199expect vt.expectation n.unexpectedly adv.inspect v.inspection n.aspect n.spectacular adj n. spectator n.201serious adj. severe adj. severity n.202strategy n. strategic adj.203industry n. industrial adj. n. industrialise v. industrialisation n.204deposit n. vt. vi. 205art n. artefact n.artwork n.artist n.artistic adj. artificial adj. artificiality n206venture v. adventure n. adventurous adj.207enable v.208ambiguous adj. ambiguity n.209subsidy n. subsidise v. subsidiary adj.210extreme adj. n. 211draw v. n. drawing n.drawer n.213generate vt. generation n. generational adj. generative adj. regenerate vt.214whale n. v. whaling n.215fibre n.216mood n. moody adj. 217tend vi. vt. intend vt. intension n. attend vt. vi. attendance n.218contribute v. contribution n. attribute v. n. attribution n. distribute v. distribution n.219simulate vt. simulation n.220concept n. conceive v. conception n. conceptual adj. misconception n.221supply n. vt. supplier n.222employ vt. n. employment n. employee n. employer n. unemployment n.adaptation n.adaptable adj. adaptability n.adaptive adj.224project n. v. projector n.projectile n. adj.225tech n.technique n.technical adj. technology n. technological adj.226define vt.definition n.definitive adj.definite adj.definitely adv.227decade n.228local adj. n. localize v. localization n.locality n.locate vt.location n.229set v. n. adj. setting n.settle vt. n. settlement n.230furniture n.furnish vt. furnishings n.furnace n.231treat n. vt. vi. treatment n.treatise n.232cope vi.233temperature n.temperate adj. temperate-climate n.temper n. v.234health n.healthy adj.heal v.235drama n. dramatic adj. dramatically adv.236property n.237firm n. adj. vt. firmly adv.238button n. v.239architect n. architecture n. architectural adj.240common adj. n. commonwealth n.241permit n. v. permission n.242part n. vt. adj. partial adj. participate vi. participation n. participant n.particle n.partner n. vt. partnership n.243irrigate vt. irrigation n.244current adj. n. currency n.245frequent adj. frequency n.246reel n. vt. vi.247relevant adj.irrelevant adj.248tool n.249convention n.conventional adj.250broad adj adv. n. broaden v.broadcaster n.broadband n.251prevent vt.prevention n.preventative adj.preventable adj.252welfare n. adj.well-being n.253harm vt. n.harmful adj.hazard n. vt.254volcano n.volcanic adj. vulcanologist n. (= volcanologist) 255exist vi.existence n.existing adj.256opportunity n.opportunist n.257orthodox adj.258promote vt.promotion n.259solve vt.solution n.soluble adj.260atmosphere n. atmospheric adj.261feature n. vt.262hierarchy n. hierarchical adj.263lava n.larva n.larvae n larva的复数264fragile adj.265collect v. collection n.collector n. collective adj. n.266tiny adj.267feed n. vt. feeding n. adj. feedback n.268aim n. v269advance n. v. adj. advanced adj. advantage n. advantageous adj.270suffer vt. vi. suffering n. adj. sufferer n.271deal n. vi. vt. dealing n.272scale n. vt.large/small-scale273indigenous adj.274indicate vt. indication n.indicator n.275provide v.provision n. provisional adj.provided conj.276expand vt. expansion n. expansive adj.277crucial adj.278incentive n. adj.279vast adj.280electricity n.electrical adj.electron n.electronic adj.281inform v.(~of/about) information n.informant n. informative adj.282exchange vt. n.283figure n. vt.284detail n. vt.285ancient adj.286melt v.287virtual adj.virtually adv.288layer n.289spread n. v. spreadsheet n.290ordinary adj. extraordinary adj.291oxygen n.292negative n. adj. vt. positive n. adj.293tuition n.294initial adj. n. initially adv.initiative n.295purchase vt. n.296achieve vt. achievement n.297equip vt.equipment n.298fact n.factual adj.factor n.299shift n. vt.300found v.foundation n.founder n. vt. fundamental adj. n.301corpus n.corpora n.corpus的复数302attitude n.303permanent adj. perpetuate v.perpetual adj.304influence n. vt. influential adj.influenza n.305recognise vt. recognition n.306spin v. n.span n. v.;spin的过去式spun spin过去分词307cube n.cubic adj.308sign n. v.signal n. v.signify v.309atlas n.310entertain vt. entertainment n.311insect n.pest n.pesticide n.312favor n.favorable adj. n.favorite n. adj.。
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数学核心词汇一:常见符号二:常见几何计算公式平面图形的周长和面积:附录:SAT数学考试速查词汇AAbscissa 横坐标absolute value 绝对值account for (数量)占acute angle 锐角acute triangle 锐角三角形Add 加add to Addition 加,加法Adjacent 相邻adjacent angles 邻角Algebra 代数学algebraic expression 代数式algebraic fraction 分式algebraic term 代数项Aliquot 除得尽数Aliquant 除不尽数alternate angles 内错角Altitude 高度Amount 合计Angle 角angle bisector 角平分线Apex 顶,顶点Apiece 每人,每个Approximately 近似的,大约的Approximation 近似,近似值Arc 弧,圆周的任意一段Area 面积Arithmetic 算术arithmetic(al) average 算术平均数arithmetic(al) mean 算术平均数或等差中项arithmetic(al) progression或series 算术级数,等差级数assume that 假定义……at random 随机地at right angles with 与……成直角at this rate 以这样的比率,价格或速度Average 平均,平均数平均的Axis 轴BBalance 余额bar graph(chart) 条带图Base 堤边,底面,幂或乘方的底数base area 底面积be across from 在……对面be closet to 最接近……be composed of 由构成be equal to 与……相等be equivalent to anther equation 与另一方程痛解be fewer than 小于be greater than 大于be greater than or equal to 不小于be inscribed in 内接于be less than 小于be less than or equal to 不大于be parallel to 平行于be perpendicular to 垂直于be substituted for 代替Billion 109Binomial 二项式Bisect 把……二等分Block 立体blot out 涂掉,删掉Bound 辩解,范围;邻接bulk 大量Ccalculate to three decimal places 计算结果保留三位小数Cancellation 约掉,消掉Center 圆心central angle 圆心角Chart 图表Chord 弦Circle 圆circle graph(chart) 圆形图Circular 圆形的,环形的circular cylinder 圆柱Circumference 圆的周长clear an equation of fractions 分式方程整式化Clockwise 顺时针Coefficient 系数Column 列,圆柱Common denominator 公分母Common difference 等差数列的公差Common divisor(factor) 共因子;公约数Common ratio 等比数列的公比Common multiple 公倍数complement 余角complementary angle 余角complete circle 全圆complete quadratic (equation) 全二次方程complex fraction 繁分数composite number 和数,指大于一而不是质数的整数compound 混合物;复利compound interest 复利compound annual interest 年复利concentration 浓度concentric circle 同心圆congruent (多边形)全等的consecutive 连续的consecutive integer 连续整数consecutive even(odd) integer 连续偶(奇)数consist of 由……构成constant 不变的,永恒的;常数constitute 构成,组成coordinate 坐标coordinate axis system 坐标系coordinate geometry 解析几何coordinate plane 坐标平面corresponding angles 同位角,对应角corresponding side 对应边counterclockwise 逆时针cross multiplication 交叉相乘Cube 立方体,立方;三次幂Cubic 立方体的,立方的cubic block 立方体cubic denominations 立方单位cubic solid 立方体cubic units 立方单位cumulative graph(chart) 累积图Curve 曲线Curved line 曲线cylinder 圆柱体Ddecagon 十角形,十边形decimal 小数;小数的decimal fraction 纯小数decimal place 小数位decimal point 小数点decrease 减少,减少量Deduct 扣除,减去Degree 度;度数(温度和角度)denominator 分母Denote 表示,意味着Depth 深度diagonal 对角线;对角线的diameter 直径Differ 不同,相异difference 差,差额Digit 数字,位(数)dimension 尺寸,尺度;维(数),度(数),元(be) direct(inverse) proportional to 成正(反)比discount rate 折扣率distance 距离distinct 与其它不同的,独特的Divide 除dividend 被除数divisor 除数,约数divisible 可整除的division 除法done(drawn) to scale 按比例绘制Eeccentric 偏心圆,;不同圆心的edge 立体的变或棱endpoint 端点equality 相等,等式equation 等式,方程equiangular 等角的equidistance 等距离的equilateral 等边形;等边的equivalent 等面积的,等体积的;等价的,相等的,等量的equivalent fraction 等值分数,如1/2和2/4even integer 偶数evenly even integer 能再平分的偶数(能背4整除)evenly spaced 等间隔的exponent 指数expression 表达式exterior angle 外角Fface 立体的面factor 因子;将……分解因子factorable 可进行因式分解的factorial 阶乘;因子的,阶乘的figure 图形fold 对折formula 公式,配方fraction 分数from subtract 从……减去……Ggaingeometric mean 几何平均数geometric progression 几何级数,等比级数geometry 几何学graph 图表;用图表来表示greatest common divisor 最大公约数grid 格栅gross 总的,毛的Hhalfway 半途的halve 把……平分为二;将……减半height 高heptagon 七边形hexagon 六边形horizontally 水平地hundreds 百位hundredth 第一百个;百分之一hypotenuse (直角三角形)斜边Iidentical 相等的;恒等的improper fraction 假分数included angle(side) 夹角(边)indefinitely 无限定地independent 无关地,独立地independent variables 自变量inequality 不等式;不相等in excess of 超过……infinite decimal 无穷小数,同non-terminating decimal infinite sequence 无穷数列inscribed angle 圆周角,同弧所对圆心角central angle的尺寸是圆周角的二倍inside dimension 内部尺寸installment 分期付款中每一期所付的款项integer 整数integer part 代分数的整数部分,代分数的分数部分是fractional partintercept 截距;截取eg intercepted arc 截弧interest 利息interior angle 内角in terms of 用……来表示intersect 直线相交,point of inetrsection交点interval 间隔,区间in turn 依次,轮流invert a fraction 求一个分数的倒数irrational number 无理数Jjoint 接合,接合处Lleast(lowest) common multiple 最小公倍数leg 梯形的两条不平性的边;直角三角形的直角边length 长度lengthwise(lengthways) 纵长的like(similar) terms 同类项line 直线,线段line segment/half line半直线,射线line graph 线型图literal coefficient 字母系数Mmathematical operation 数学运算mean 平均数mean proportional 比例中项median 中数;中线midpoint 中点midway 中途million 106minor arc AB 劣弧ABminuend 被减数minus 减mixed decimal 混合小数,如3.14mode 众数monomial 单项式multiple 多倍的,多重的;倍数a multiple of multiplicand 被乘数multiplication 乘法multiplier 乘数multiply 乘Nnatural number 自然数negative number 负数negligible 可忽略不计的n-gon n-边形nickel 五分nonadjacent 不相邻的nonagon 九边形nonzero 非零;非零的not necessarily distinct 不必然不同的number 数,数字number line 数轴,规定了原点,正方向和单位长度的直线,数轴上的点和实数一一对应numerator 分数的分子numerical coefficient 数字系数Oobtuse angle 钝角,大于90度而小于180度的角obtuse triangle 钝角三角形octagon 八边形odd integer 奇数odds 事物发生的可能性,机会of one dimension 线性的on the average 平均operation 运算order 顺序,订单ordinate 纵坐标origin 原点,origin of coordinates 坐标原点original equation 原方程overlap 部分重叠,部分搭交Pparallel lines 平行线parallelogram 平行四边形pentagon 五边形percent 百分号percent of interest 利率,同rate of interestpercent increase 增加的百分率percent decrease 减少的百分率perfect square(cube) 完全平方(立方),e.g.25是5的完全平方perimeter 周长perpendicular lines 垂直线pictograph 统计图表pie gragh(chart) 圆形图,饼型图palce (位)数plane 平面plus 加point 小数点pointer 指针point of tangency 切点polynomial 多项式pool 联营potion 一部分positive 正的power 幂,乘方preceding 在前的,先前的prime number 质数,素数probability 概率product (乘)积progression(series) 级数,同seriesprojected 被预测,被估计proportion 比,比率;比例 e.g. in proportion to与……成比例;Qquadrant 象限quadratic equation 二次方程quadrilateral 四边形quantity 数,数量quotient 商Rradical 根号,根式;radius 半径randomly 随机地rate 率,比率;速度,速率ratio 比,比率ray 射线real number 实数reciprocal 倒数rectangle 矩形rectangular 矩形的;成直角的remainder 余数remote interior angles 三角形一个外角对应的两个内错角repeating decimal 无限循环小数revolution 旋转e.g. revolutions per min每分钟转速rhombus 菱形right 直的root 方根;方程的根round 四舍五入Ssatisfy 使……成立scale drawing 按比例绘制(的图)scalene 不等边三角形,不等边的secant 割线section 断面,一部分cross section横截面sector 扇形segment 弓形;部分sequence 数列set 集合shaded region 阴影side 边,立体的面sign(symbol) 符号similar (三角形)相似的simple annual interest 年单利simple fraction 简分数simultaneously 同时地,同时发生地simultaneous equations 联立方程组slope (直线的)斜率solid 立体;立体的;实心的,单色的e.g.solid lines实线/solid colorsolution 解,答案sphere 球体square 正方形straight angle 平角,指180度的角aeas数学高频词汇表straight-line distance 直线距离subdivide 再分,细分subtract…from…从…减去…successive 连续的,相继的such that 使得满足…的条件sum 和supplement 补角,指两角之和为180度surface area 表面积Ttable 表格tangent 切线;相切的term 项times 倍;乘token 辅币toll 通行税total 合计to the nearest 10% 精确到10%transversal 横截线e.g. ~of parallel linestrapezoid 梯形triangle 三角形trinomial 三项式triple 三倍的Uuniform 一直不变的unit 单位unlike terms 非同类项unknown 未知量Vvalue 值variable 变量vertex 顶点vertical 垂直的;直立的;顶点的;对顶的XX-axis X轴X-coordinate X坐标XY-coordinate system 平面直角坐标系,同XY-planeYY-axis Y轴Y-coordinate Y坐标Zzero 零11。