AMC8配套数学名词中英文对照表解析
美国数学竞赛AMC8 -- 2010年真题解析(英文解析+中文解析)
美国数学竞赛AMC8 -- 2010年真题解析(英文解析+中文解析)Problem 1Answer: CSolution:Given that these are the only math teachers at Euclid Middle School and we are told how many from each class are taking the AMC 8, we simply add the three numbers to find the total.11+8+9=28.中文解析:参加竞赛的学生总人数是:11+8+9=28. 答案是C。
Problem 2Answer: DSolution:Substitute a=5, b=10 into the expression for a@b to get: 5@10=(5*10)/(5+10)=50/15=10/3.中文解析:(5*10)/(5+10)=50/15=10/3. 答案是D。
Problem 3Answer: CSolution:The highest price was in Month 1, which was $17. The lowest price was in Month 3, which was $10. 17 is 17/10 =170% of 10, and is 170-100=70% more than 10. Therefore, the answer is 70. 中文解析:最高价是1月,17美元。
最低价格是3月10美元。
最高价比最低价多:(17-10)/10=70%。
答案是C。
Problem 4Answer: CSolution:Putting the numbers in numerical order we get the list 0,0,1,2,3,3,3,4 The mode is 3, The median is (2+3)/2=2.5. The average is 2. is The sum of all three is 3+2.5+2=7.5.中文解析:这组数按照从小到大的顺序排列是:0,0,1,2,3,3,3,4. 中位数Median是2.5;mode 是3,mean是16/8=2. 因此mean,median,mode的和是: 2.5+3+2=7.5. 答案是C。
AMC8词汇大全
有准备准备参加美国数学竞赛AMC8的小伙伴们吗,对于竞赛中必备的单词大家都掌握了吗?没有的话感觉去记下来然后去背单词吧!一、Arithmetic算术1、Factors and multiples因数和倍数factor 因数common multiple公倍数factorize因式分解least common multiple(LCM)最小公倍数prime factorization分解质因数remainder余数common factor公因数divisible能够被整除的greatest common factor(GCF)最大公因数prime 质数multiple倍数composite number合数2、 Real number实数integer整数units digit个位whole number自然数tens digit十位odd奇数value数值even 偶数axis数轴( pI. axes)non-zero非零的sign/symbol符号positive 正的order顺序positive number正数arrange排列negative负的ascending/increasing order升序negative number负数descending order降序digit数位,数字3、approximation 近似数approximate近似的place value位值approximation 近似数exact value 准确值estimate估算decimal place 小数位estimation估算值hundreds place 百分位round(off)四舍五入thousands place 千分位round up五入significant figure有效数round down四舍4. Ratios and percentage比与百分数ratio 比average speed平均速度simplify化简convert转换equivalent等价的conversion of units单位换算rate比率percentage百分数distance路程discount折扣5. Units of measurement度量单位transformation转换kilo 1000 centi 0.01 milli0.001length长度kilometer(km)千米Inch 英寸meter米foot英尺( pl. feet)centimeter(cm)厘米yard码millimeter(mm)毫米mile 英里1foot=12 inches 1yard=3feet 1mile=1.6 kilometer weight(mass)重量(质量)kilogram(kg)千克milligram(mm)毫克gram(g)克pound磅1pound=453.6gramscapacity( volume)容量(体积)liter(L)升milliliter(ml)毫升centiliter(cl)厘升gallon加仑1 gallon=3. 79litersCurrency货币penny 一便土cent美分nickel五分硬币dollar二元dime一角硬币pound 英镑quarter 25分硬币1 dollar=100 cents1dollar-4 quarters 1quarter= 25 pennies 1 dime=10 pennies1 nickel=5 penniestime时间second 秒hour 小时minute分钟1 hour=60 minutes1minute=60 seconds二、Algebra代数1、Algebra Operation代数运算add加quotient 商sum 和evaluate/calculate计算subtract减simplify化简difference差expand展开multiple乘index/power/exponent指数product乘积reverse 逆向的divide除reciprocal倒数2. Equation and Inequality方程与不等式equation方程inequality不等式solve 解constant常数greater than大于less than小于not greater than 小于或等于no less than大于或等于3、Coordinate System and Function坐标系与函数coordinate system坐标系coordinate坐杉origin原点intercept截距gradient斜率horizontalaxis/x-axis横轴verticalaxis/y-axis竖轴ordered pair有序数对quadrant象限function函数三、 Statistics统计1、Sequences数列sequence数列arithmeticsequence 等差数列geometric sequence等比数列common difference公差common ratio公比general term通项2、set集合set集合element元素subset子集union 并集intersection交集3. Statistics and Probability统计与概率statistics统计data数据row 行column列rank 排名maximum最大值minimum 最小值average平均mean平均数median 中位数mode 众数range极差mid-range 极值的平均值probability概率coin硬币head硬币正面tail硬币反面fair均匀的chip 筹码dice/die骰子四、 Geometry几何1、Points, Lines and planes点、线、面point点segment线段ray射线bisector平分线line线curve曲线plane平面side边(平面)edge棱(立体)surface表面diagonal对角线base底altitude高intersection交点midpoint中点interval间距region区域shade阴影bold加粗arrow箭头2、 Angles and position relations角和位置关系angle角acute angle锐角right angle直角obtuse angle钝角degree度数vertex顶点center中心parallel 平行perpendicular垂直inscribe内接circumscribe 外接Intersect相交tangent相切symmetry对称bisect平分trisect三等分3. Triangle三角形triangle三角形equilateral等边的isosceles 等腰的similar相似congruent 全等leg 直角边hypotenuse斜边adjacent side邻边opposite side对边4. Quadrilateral四边形quadrilateral四边形rhombus菱形rectangular矩形parallelogram平行四边形trapezoid梯形square正方形5. Polygon多边形polygon多边形pentagon五边形hexagon六边形octagon八边形equal相等equiangular等角identical完全相同的regular正的(用于正多边形)6. Circle圆circle圆形semicircle半圆radius半径diameter直径circumference圆周sector扇形chord弦7. Solid立体solid立体cube正方体cubic立方的wedge楔形sphere球体8. Measure度量measure度量area 面积volume 体积perimeter周长length长度wide宽度height高度time时间speed/rate 速度distance距离mileage里程clockwise顺时counterclockwise逆时针rotation旋转reflection翻转五、 noun and adjective名词和形容词grid网格graph图表diagram图表arrangement安排score 分数parenthesis圆括号discount折扣reverse逆向distinct不同的constant恒定的random随机的consecutive连续的respectively相对应的additional多余的adjacent相邻的simultaneously同时地congruent相同的(表示数字之间)inclusive 包含两端的学通国际课程培训中心自2008年起一直致力于ALEVEL、IGCSE、IB、AP、SAT2等主流国际课程中30多门科目的提分与培优,经11年深耕教学,目前已拥有教师团队80余人,其中20%为博士,80%为名校海归硕士,平均国际课程教龄8年以上,每年为学生提供50000小时以上的高品质课程。
(完整)AMC8配套数学名词中英文对照表解析
(完整)AMC8配套数学名词中英文对照表解析Aabbreviation 简写符号;简写absolute error 绝对误差absolute value 绝对值accuracy 准确度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 property 可加性adjacent angle 邻角adjacent side 邻边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 operation 代数运算alternate angle (交)错角alternate segment 交错弓形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 greatest slope 最大斜率的角angle of inclination 倾斜角angle of intersection 相交角;交角angle of rotation 旋转角angle of the sector 扇形角angle sum of a triangle 三角形内角和angles at a point 同顶角annum(X%per annum) 年(年利率X%)anti-clockwise direction 逆时针方向;返时针方向anti-logarithm 逆对数;反对数anti-symmetric 反对称apex 顶点approach 接近;趋近approximate value 近似值approximation 近似;略计;逼近Arabic system 阿刺伯数字系统arbitrary 任意arbitrary constant 任意常数arc 弧arc length 弧长arc—cosine function 反余弦函数arc-sin function 反正弦函数arc-tangent function 反正切函数area 面积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arrow 前号ascending order 递升序ascending powers of X X 的升幂associative law 结合律assumed mean 假定平均数assumption 假定;假设average 平均;平均数;平均值average speed 平均速率axiom 公理axis 轴axis of parabola 拋物线的轴axis of symmetry 对称轴Bback substitution 回代bar chart 棒形图;条线图;条形图;线条图base (1)底;(2)基;基数base angle 底角base area 底面base line 底线base number 底数;基数base of logarithm 对数的底bearing 方位(角);角方向(角)bell—shaped curve 钟形图bias 偏差;偏倚billion 十亿(完整)AMC8配套数学名词中英文对照表解析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 expression 二项式bisect 平分;等分bisection method 分半法;分半方法bisector 等分线;平分线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cancel 消法;相消canellation law 消去律capacity 容量Cartesian coordinates 笛卡儿坐标Cartesian plane 笛卡儿平面category 类型;范畴central line 中线central tendency 集中趋centre 中心;心centre of a circle 圆心centroid 形心;距心certain event 必然事件chance 机会change of base 基的变换change of subject 主项变换change of variable 换元;变量的换chart 图;图表checking 验算chord 弦chord of contact 切点弦circle 圆circular 圆形;圆的circular function 圆函数;三角函数circular measure 弧度法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classification 分类clnometer 测斜仪clockwise dirction 顺时针方向closed convex region 闭凸区域closed interval 闭区间coefficient 系数coincide 迭合;重合collection of terms 并项collinear 共线collinear planes 共线面column (1)列;纵行;(2) 柱combination 组合common chord 公弦common denominator 同分母;公分母common difference 公差common divisor 公约数;公约common factor 公因子;公因子common logarithm 常用对数common multiple 公位数;公倍common ratio 公比common tangetn 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complement 余;补余complementary angle 余角complementary event 互补事件complementary probability 互补概率completing the square 配方complex number 复数complex root 复数根composite number 复合数;合成数compound bar chart 综合棒形图compound discount 复折扣compound interest 复利;复利息computation 计算(完整)AMC8配套数学名词中英文对照表解析computer 计算机;电子计算器concave 凹concave downward 凹向下的Ddata 数据decagon 十边形decay 衰变decay factor 衰变因子decimal 小数decimal place 小数位decimal point 小数点decimal system 十进制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distance 距离distance formula 距离公式distinct roots 相异根distincr solution 相异解distribution 公布distrivutive law 分配律divide 除dividend (1)被除数;(2)股息divisible 可整除division 除法division algorithm 除法算式divisor 除数;除式;因子divisor of zero 零因子dodecagon 十二边形dot 点double root 二重根due east/ south/ west /north 向东/ 南/ 西/ 北definiton 定义degree (1)度;(2)次degree of a polynomial 多项式的次数degree of accuracy 准确度degree of precision 精确度delete 删除;删去denary number 十进数denary scale 十进法denary system 十进制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descending order 递降序descending powers of X X的降序detached coefficients 分离系数(法) deviation 偏差;变差deviation from the mean 离均差diagonal 对角diagram 图;图表diameter 直径difference 差digit 数字dimension 量;量网;维(数)direct proportion 正比例direct tax, direct taxation 直接税direct variation 正变(分)directed angle 有向角directed number 有向数direction 方向;方位discontinuous 间断(的);非连续(的);不连续(的)discount 折扣discount per cent 折扣百分率discrete 分立;离散discrete data 离散数据;间断数据discriminant 判别式dispersion 离差displacement 位移disprove 反证Eedge 棱;边elimination 消法elimination method 消去法;消元法elongation 伸张;展empirical data 实验数据empirical formula 实验公式empirical probability 实验概率;经验概率enclosure 界限end point 端点entire surd 整方根equal 相等equal ratios theorem 等比定理equal roots 等根equality 等(式)equality sign 等号(完整)AMC8配套数学名词中英文对照表解析equation 方程equation in one unknown 一元方程equation in two unknowns(variables)二元方程equation of a straight line 直线方程equation of locus 轨迹方程equiangular 等角(的)extreme value 极值equidistant 等距(的)equilaeral 等边(的)equilateral polygon 等边多边形equilateral triangle 等边三角形equivalent 等价(的)error 误差escribed circle 旁切圆estimate 估计;估计量Euler’s formula 尤拉公式;欧拉公式evaluate 计值even function 偶函数even number 偶数evenly distributed 均匀分布的event 事件exact 真确exact solution 准确解;精确解;真确解exact value 法确解;精确解;真确解example 例excentre 外心exception 例外excess 起exclusive 不包含exclusive events 互斥事件exercise 练习expand 展开expand form 展开式expansion 展式expectation 期望expectation value, expected value 期望值;预期值experiment 实验;试验experimental 试验的experimental probability 实验概率exponent 指数express…in terms of….. 以………表达expression 式;数式extension 外延;延长;扩张;扩充exterior angle 外角external angle bisector 外分角external point of division 外分点extreme point 极值点Fface 面factor 因子;因式;商factor method 因式分解法factor theorem 因子定理;因式定理factorial 阶乘factorization 因子分解;因式分解factorization of polynomial 多项式因式分解FALSE 假(的)feasible solution 可行解;容许解Fermat’s last theorem 费尔马最后定理Fibonacci number 斐波那契数;黄金分割数Fibonacci sequence 斐波那契序列fictitious mean 假定平均数figure (1)图(形);(2)数字finite 有限finite population 有限总体finite sequence 有限序列finite series 有限级数first quartile 第一四分位数first term 首项fixed deposit 定期存款fixed point 定点flow chart 流程图foot of perpendicular 垂足for all X 对所有Xfor each /every X 对每一Xform 形式;型formal proof 形式化的证明format 格式;规格formula(formulae)公式four rules 四则four—figure table 四位数表fourth root 四次方根fraction 分数;分式fraction in lowest term 最简分数fractional equation 分式方程fractional index 分数指数fractional inequality 分式不等式free fall 自由下坠frequency 频数;频率frequency distribution 频数分布;频率分布frequency distribution table 频数分布表frequency polygon 频数多边形;频率多边形frustum 平截头体function 函数(完整)AMC8配套数学名词中英文对照表解析function of function 复合函数;迭函数functional notation 函数记号Ggain 增益;赚;盈利gain per cent 赚率;增益率;盈利百分率game (1)对策;(2)博奕general form 一般式;通式general solution 通解;一般解general term 通项geoborad 几何板geometric mean 几何平均数;等比中项geometric progression 几何级数;等比级数geometric sequence 等比序列geometric series 等比级数geometry 几何;几何学given 给定;已知golden section 黄金分割grade 等级gradient (1)斜率;倾斜率;(2)梯度grand total 总计graph 图像;图形;图表graph paper 图表纸graphical method 图解法graphical representation 图示;以图样表达graphical solution 图解greatest term 最大项greatest value 最大值grid lines 网网格线group 组;grouped data 分组数据;分类数据grouping terms 并项;集项growth 增长growth factor 增长因子Hhalf closed interval 半闭区间half open interval 半开区间head 正面(钱币)height 高(度)hemisphere 半球体;半球heptagon 七边形Heron's formula 希罗公式hexagon 六边形higher order derivative 高阶导数highest common factor(H。
美国数学竞赛AMC8 -- 2005年真题解析(英文解析+中文解析)
美国数学竞赛AMC8 – 2005年真题解析(英文解析+中文解析)Problem 1Answer: BSolution:If x is the number, then 2x=60 and x=30. Dividing the number by 2 yields 15.中文解析:按照Connie的计算,这个数乘以2是60,可知这个数是30. 应该做的计算是30除以2,因而正确答案应该是15. 答案是B。
Problem 2Answer: CSolution:Karl paid 5*2.5=$12.5. 20% of this cost that he saved is 12.5*0.2=$2.5.中文解析:Karl按原价买了5个文件夹,支付的费用是:2.5*5=12.5. 折扣价是:1.25*0.8=10。
如果Karl 等一天,可以省2.5元。
答案是C.Problem 3Answer: DSolution:Rotating square ABCD counterclockwise 45° so that the line of symmetry BD is a vertical line makes it easier to see that 4 squares need to be colored to match its corresponding square.中文解析:如上图所示,以BD为对称轴,标蓝色的方块需要涂黑。
共4块,答案是D。
Problem 4Answer: CSolution:The perimeter of the triangle is 6.1+8.2+9.7=24cm. A square's perimeter is four times its side length, since all its side lengths are equal. If the square's perimeter is 24, the side length is24/4=6, and the area is 6*6=36.中文解析:三角形的周长是:6.1+8.2+9.7=24. 正方形的周长和三角形相等,也是24,则其边长是24/4=6. 其面积是:6*6=36. 答案是C。
美国数学竞赛amc8的常用数学英语单词
美国数学竞赛amc8的常用数学英语单词A非正态分布abnormal distribution 角angle 平均数average加plus(prep.), add(v.), addition(n.)振幅amplitude 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 被加数augend, summand加数addend 轴axis 弧arc 面积area 算术arithmetic公理axiom 代数algebra 锐角acute angle 锐角三角形acute triangleB二进制binary system 折线统计图broken line graph 底base条形统计图bar graph 重心barycentre(BrE), barycenter(AmE)C全等congruent 曲线统计图curve diagram 进位carry 计算calculation系数coefficient 三次方程cubic equation 常量constant 微积分calculus复数complex number 坐标系coordinates 组合combination 外切圆circumcircle余割cosecant 余切cotangent 余弦cosine 圆周circumference圆柱cylinder 圆锥cone 圆circle 立方体cube圆心centre(BrE), center(AmE)D小数点decimal point 小数decimal 角度degree 除divided by(prep.), divide(v.), division(n.)被除数dividend 除数divisor 数字digit分母denominator 十进制decimal system 微分differential导数derivative 定积分definite integral 行列式determinant分布distribution 十面体decahedron 十二面体dodecahedron 十二边形dodecagon 十边形decagon 直径diameterE等于equals, is equal to, is equivalent to 等式,方程式equation等边三角形equilateral trian gle 外心excentre(BrE), excenter(AmE)旁心escentre(BrE), escenter(AmE)正多边形equilateral polygon九面体enneahedron 九边形enneagon 椭圆ellipseF分数fraction 公式formula, formulae(pl.)阶乘factorial棱台frustum of a prism 圆台frustum of a coneG几何geometry 图表graphH假设hypothesis, hypotheses(pl.)十一面体hendecahedron 六边形hexagon七面体heptahedron 半球hemisphere 六面体hexahedron十一边形hendecagon 七边形heptagon 十六进制hexadecimal system柱形统计图histogram 高height 斜边hypotenuse 双曲线hyperbolaI内心incentre(BrE), incenter(AmE)二十面体icosahedron 图象imag无穷大infinite(a.)infinity(n.)无穷小infinitesimal 积分integrale等腰梯形isosceles trapezoid 不定积分indefinite integral 不等式inequation整数integer 小于is lesser than 大于is greater than大于等于is equal or greater than 线line 小于等于is equal or lesser than无效数字insignificant digit 相交intersect 无理数irrational number虚数imaginary number 等腰三角形isosceles triangle 内切圆inscribed circle极限limit 直角边leg 长length 轨迹locus, loca(pl.)M数学mathematics, maths(BrE), math(AmE)被减数minuend被乘数multiplicand, 乘数multiplicator 单项式monomial单调性monotonicity矩阵matrixN正态分布normal distribution 数number 自然数natural number分子numerator 负negative 零null, zero, nought, nilO运算符operator 运算operation 钝角obtuse angle钝角三角形obtuse triangle 垂心orthocentre(BrE), orthocenter(AmE)原点origin 八面体octahedron 八边形octagonP抛物线parabola 五面体pentahedron 平行六面体parallelepiped 相位phase周期period证明prove命题proposition 积product 正positive 多项式polynomial, multinomial 奇偶性parity 周期性periodicity 点point 面plane 平行parallel 周角perigon 平行四边形parallelogram 勾股定理Pythagorean theorem 扇形统计图pie diagram 概率,或然率probability 排列permutation 比例propotion 百分比percent 百分点percentage百分位数percentile 多面体polyhedron 圆周率p i 棱锥pyramid 棱柱prism 周长perimeter 五边形pentagon 多边形polygonQ商quotient 二次方程quadratic equation 四次方程quartic equation 四边形quadrilateralR直角梯形right trapezoid 标准差root-mean-square deviation, standard deviation 差remainder比ratio 四舍五入round 下舍入round down 上舍入round up 值域range 有理数rational number 实数real number 直角right angle 射线radial 弧度radian 直角三角形right triangle 矩形rectangle 旋转rotation 菱形rhomb, rhombus, rhombi(pl.), diamond 环ring 半径radius S正方形square 有效数字significant digit 一次方程simple equation 体solid 线段segment 平角straight angle 边side 不等边三角形scalene triangle 空间space 球sphere 正弦sine统计statistics 和sum 减minus(prep.), subtract(v.), subtraction(n.)减数subtrahend 数列,级数series 正割secant 表面积surface area 相似similar半圆semicircle 扇形sectorT梯形trapezoid 截尾truncation 定理theorem 乘times(prep.), multiply(v.), multiplication(n.)faciend 三角形triangle 正切tangent 三角trigonometry 四面体tetrahedronU未知数unknown, x-factor, y-factor, z-factor 底面undersurface 变量variable方差variance 体积volume W权weight, significance 宽width 加权平均数weighted averageX坐标轴x-axis, y-axis, z-axis 横坐标x-coordinate 纵坐标y-coordinate。
AMC8英语词
AMC竞赛英语词汇大全1.基本用语add,plus 加subtract 减difference 差multiply,times 乘product 积divide 除divisible 可被整除的dividedevenly 被整除dividend 被除数divisor 因子,除数quotient 商remainder 余数factorial 阶乘power 乘方radicalsign,rootsign 根号roundto 四舍五入tothenearest 四舍五入2.有关集合union 并集proper subset 真子集solution set 解集3.有关代数式、方程和不等式algebraic term 代数项like terms,similar terms 同类项numerical coefficient 数字系数literal coefficient 字母系数inequality 不等式triangle inequality 三角不等式range 值域original equation 原方程equivalent equation 同解方程等价方程linear equation 线性方程(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tenthsunit 十分位5.基本数学概念arithmetic mean 算术平均值weighted average 加权平均值geometric mean 几何平均数exponent 指数,幂base 乘幂的底数,底边cube 立方数,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inversefunction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……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ordinaryscale,decimalscale 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8.其它Approximate 近似 (anti)clockwise (逆)顺时针方向Cardinal 基数 ordinal 序数Directproportion 正比 distinct 不同的estimation 估计,近似 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9.几何部分(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。
美国数学竞赛amc8的常用数学英语单词
美国数学竞赛amc8的常用数学英语单词美国数学竞赛 AMC8 的常用数学英语单词在准备美国数学竞赛 AMC8 时,掌握一些常用的数学英语单词是非常重要的。
这不仅有助于我们理解题目,还能更准确地解答问题。
以下是为大家整理的一些 AMC8 中常见的数学英语单词。
一、数与代数1、 Number(数)Integer(整数)Positive integer(正整数)Negative integer(负整数)Zero(零)Natural number(自然数)Odd number(奇数)Even number(偶数)Prime number(质数)Composite number(合数)2、 Algebra(代数)Variable(变量)Constant(常量)Expression(表达式)Equation(方程)Inequality(不等式)Linear equation(线性方程)Quadratic equation(二次方程)3、 Operation(运算)Addition(加法)Subtraction(减法)Multiplication(乘法)Division(除法)Sum(和)Difference(差)Product(积)Quotient(商)4、 Ratio and proportion(比例与比率)Ratio(比率)Proportion(比例)二、几何1、 Point(点)Line(线)Straight line(直线)Ray(射线)Line segment(线段)2、 Angle(角)Acute angle(锐角)Right angle(直角)Obtuse angle(钝角)Straight angle(平角)Reflex angle(优角)3、 Triangle(三角形)Equilateral triangle(等边三角形) Isosceles triangle(等腰三角形)Scalene triangle(不等边三角形) Right triangle(直角三角形)4、 Quadrilateral(四边形)Square(正方形)Rectangle(长方形)Parallelogram(平行四边形)Rhombus(菱形)Trapezoid(梯形)5、 Circle(圆)Radius(半径)Diameter(直径)Circumference(周长)Area(面积)6、 Polygon(多边形)Pentagon(五边形)Hexagon(六边形)Heptagon(七边形)Octagon(八边形)三、测量与单位1、 Length(长度)Meter(米)Centimeter(厘米)Millimeter(毫米)Kilometer(千米)2、 Area(面积)Square meter(平方米)Square centimeter(平方厘米) Hectare(公顷)3、 Volume(体积)Cubic meter(立方米)Cubic centimeter(立方厘米) Liter(升)Milliliter(毫升)4、 Mass(质量)Gram(克)Kilogram(千克)Ton(吨)5、 Time(时间)Second(秒)Minute(分钟)Hour(小时)Day(天)Week(周)Month(月)Year(年)6、 Temperature(温度) Celsius(摄氏度)Fahrenheit(华氏度)四、数据与统计1、 Data(数据)Mean(平均数)Median(中位数)Mode(众数)Range(极差)2、 Graph(图表)Bar graph(条形图)Line graph(折线图)Pie chart(饼图)五、概率与组合1、 Probability(概率)Event(事件)Outcome(结果)Random(随机的)2、 Combination(组合)Permutation(排列)掌握这些常用的数学英语单词,能够让我们在 AMC8 竞赛中更加游刃有余。
美国数学竞赛AMC8 -- 2019年真题解析(英文解析+中文解析)
美国数学竞赛AMC8 -- 2019年真题解析(英文解析+中文解析)Problem 1Answer: DSolution:We maximize the number of sandwiches Mike and Ike can buy by finding the lowest multiple of 4.5 that is less than 30 This number is 6.Therefore, they can buy 6 sandwiches for 4.5*6=27. They spend the remaining money on soft drinks, so they buy30-27=3 soft drinks. Combining the items, Mike and Ike buy 6+3=9 items.中文解析:4.5*6=27. 因此买6个Sandwiches,剩下的3元钱买3个Drinks.Problem 2Answer: ESolution:Using the diagram we find that the larger side of the small rectangle is 2 times the length of the smaller side. Therefore the longer side is 5*2=10. So the area of the identical rectangles is5*10=50. We have 3 identical rectangles that form the large rectangle. Therefore the area of the large rectangle is 50*3=150.中文解析:长方形的短边的长度是5,则AD=5+5=10. CD=AD=10. 即长方形的长边是10. ABCD的面积是: AB *BC =(10+5)*10=150.答案是E。
美国数学竞赛amc8的常用数学英语单词-有音标排版
美国数学竞赛AMC8常用数学英语单词1.数学mathematics [ˌmæθə'mætɪks],maths(BrE), math(AmE)2.被除数dividend ['dɪvɪdend]3.除数divisor [dɪ'vaɪzə]4.商quotient ['kwəʊʃnt]5.等于equals ['iːkwəl],is equal to, is equivalent to [ɪ'kwɪvələnt]6.大于is greater than [ɡreɪtə]7.小于is lesser than ['lesə(r)]8.大于等于is equal or greater than9.小于等于is equal or lesser than10.运算符operator ['ɒpəreɪtə]11.数字digit ['dɪdʒɪt]12.数number13.自然数natural number ['nætʃrəl]14.公理axiom ['æksiəm]15.定理theorem ['æksiəm]16.计算calculation [ˌkælkju'leɪʃn]17.运算operation [ˌɒpə'reɪʃn]18.证明prove [pruːv]19.假设hypothesis [haɪ'pɒθəsɪs]20.命题proposition [ˌprɒpə'zɪʃn] 21.算术arithmetic [ə'rɪθmətɪk]22.加plus(prep.)[plʌs],add(v.), addition(n.)[ə'dɪʃn]23.被加数augend ['ɔːdʒend],summand ['sʌmænd]24.加数addend [ə'dend]25.和sum26.减minus(prep.)['maɪnəs],Subtract(v.) subtraction(n.) [səb'trækt], [səb'trækʃn]27.被减数minuend ['mɪnjʊend]28.减数subtrahend ['sʌbtrəhend]29.差remainder [rɪ'meɪndə]30.乘times(prep.), multiply(v.)['mʌltɪplaɪ],multiplication(n.)[ˌmʌltɪplɪ'keɪʃn]31.被乘数multiplicand , faciend [ˌmʌltɪplɪ'kænd], ['feɪʃɪend]32.乘数multiplicator ['mʌltɪplɪkeɪtə]33.积product ['prɒdʌkt]34.除divided by(prep.)[dɪ'vaɪdɪd],divide(v.)division(n.)[dɪ'vaɪd], [dɪ'vɪʒn]35.整数integer ['ɪntɪdʒə]36.小数decimal ['desɪml]37.小数点decimal point ['desɪml pɔɪnt]38.分数fraction ['frækʃn]39.分子numerator ['njuːməreɪtə]40.分母denominator [dɪ'nɒmɪneɪtə]41.比ratio ['reɪʃiəʊ]42.正positive ['pɒzətɪv]43.负negative ['neɡətɪv]44.零null, nil [nʌl], [nɪl]Zero, nought ['zɪərəʊ], [nɔːt]45.十进制decimal system ['desɪml] ['sɪstəm]46.二进制binary system ['baɪnəri]47.十六进制hexadecimal system [ˌheksə'desɪml]48.截尾truncation49.四舍五入round [raʊnd]50.下舍入round down51.上舍入round up52.有效数字significant digit [sɪɡ'nɪfɪkənt] ['dɪdʒɪt]53.无效数字insignificant digit [ˌɪnsɪɡ'nɪfɪkənt] ['dɪdʒɪt]54.代数algebra ['ældʒɪbrə]55.几何geometry [dʒi'ɒmətri]56.公式formula ['fɔːmjələ]57.未知数unknown,x-factor, y-factor, z-factor ['fæktə] 58.等式/方程式e quation [ɪ'kweɪʒn]59.一次方程simple equation ['sɪmpl]60.二次方程quadratic equation [kwɒ'drætɪk]61.三次方程cubic equation ['kjuːbɪk]62.四次方程quartic equation ['kwɔːtɪk]63.不等式inequation [ɪnɪ'kweɪʃən]64.二次方/平方s quare [skweə]65.三次方/立方c ube [kjuːb]66.四次方the power of four,the fourth power ['paʊə]67.n次方the power of n, the nth power68.开方evolution, extraction [ˌiːvə'luːʃn], [ɪk'strækʃn]69.二次方根/平方根square root [skweə] [ruːt]70.三次方根,立方根cube root [kjuːb]71.四次方根the root of four, the fourth root72.n次方根the root of n, the nth root73.集合aggregate ['æɡrɪɡət]74.元素element ['elɪmənt]75.函数function ['fʌŋkʃn]76.常量constant ['kɒnstənt]77.变量variable ['veəriəbl]78.奇偶性parity ['pærəti]79.有理数rational number ['ræʃnəl]80.点point [pɔɪnt]81.线line [laɪn]82.面plane [pleɪn]83.体solid ['sɒlɪd]84.线段segment ['seɡmənt]85.射线radial ['reɪdiəl]86.平行parallel ['pærəlel]87.相交intersect [ˌɪntə'sekt]88.角angle ['æŋɡl]89.角度degree [dɪ'ɡriː]90.弧度radian ['reɪdiən]91.锐角acute angle [ə'kjuːt]['æŋɡl]92.直角right angle93.钝角obtuse angle [əb'tjuːs]94.平角straight angle [streɪt]95.周角perigon ['perɪgɒn]96.底base [beɪs]97.边side [saɪd]98.高height [haɪt]99.三角形triangle ['traɪæŋɡl] 100.锐角三角形acute triangle [ə'kjuːt]101.直角三角形right triangle102.钝角三角形obtuse triangle [əb'tjuːs]103.不等边三角形scalene triangle ['skeɪliːn]104.等腰三角形isosceles triangle [aɪ'sɒsɪliːz]105.等边三角形equilateral triangle [ˌiːkwɪ'lætərəl]106.直角边right-angle side107.斜边hypotenuse [haɪ'pɒtənjuːz]108.勾股定理Pythagorean theorem [piθægə'ri:ən] ['θɪərəm] 109.四边形quadrilateral [ˌkwɒdrɪ'lætərəl] 110.平行四边形parallelogram [ˌpærə'leləɡræm] 111.矩形rectangle ['rektæŋɡl]112.长length [leŋθ]113.宽width [wɪdθ]114.菱形rhomb, rhombus [rɒm], ['rɒmbəs]rhombi, diamond ['rɒmbaɪ], ['daɪəmənd] 115.正方形square [skweə]116.梯形trapezoid ['træpəzɔɪd]117.直角梯形right trapezoid118.等腰梯形isosceles trapezoid [aɪ'sɒsɪliːz]119.五边形pentagon ['pentəɡən]120.六边形hexagon ['heksəɡən]121.七边形heptagon ['heptəɡən]122.八边形octagon ['ɒktəɡən] 123.九边形enneagon ['enɪəˌgɒn] 124.十边形decagon ['dekəɡən] 125.十一边形hendecagon [hen'dekəɡən] 126.十二边形dodecagon [dəʊ'dekəɡən] 127.多边形polygon ['pɒlɪɡən] 128.正多边形equilateral polygon [ˌiːkwɪ'lætərəl] 129.圆circle ['sɜːkl]130.圆心centre(BrE)['sentə]center(AmE)['sentə] 131.半径radius ['reɪdiəs] 132.直径diameter [daɪ'æmɪtə] 133.圆周率pi [paɪ]134.弧arc [ɑːk]135.半圆semicircle ['semisɜːkl] 136.扇形sector ['sektə] 137.环ring [rɪŋ]138.椭圆ellipse [ɪ'lɪps] 139.圆周circumference [sə'kʌmfərəns] 140.周长perimeter [pə'rɪmɪtə] 141.面积area ['eəriə] 142.表面积surface area ['sɜːfɪs] 143.体积volume ['vɒljuːm]144.轨迹locus , loca(pl.)['ləʊkəs], ['ləʊkə] 145.相似similar ['sɪmələ]146.全等congruent ['kɒŋgrʊənt]147.四面体tetrahedron [ˌtetrə'hiːdrən] 148.五面体pentahedron [ˌpentə'hiːdrən] 149.六面体hexahedron [ˌheksə'hiːdrən] 150.平行六面体parallelepiped [ˌpærəle'lepɪped] 151.立方体cube [kjuːb]152.七面体heptahedron [ˌheptə'hiːdrən] 153.八面体octahedron [ˌɒktə'hiːdrən] 154.九面体enneahedron [ˌenɪə'hiːdrən] 155.十面体decahedron [ˌdekə'hiːdrən] 156.十一面体hendecahedron [henˌdekə'hiːdrən] 157.十二面体dodecahedron [ˌdəʊdekə'hiːdrən] 158.二十面体icosahedron ['aɪkəsə'hedrən] 159.多面体polyhedron [ˌpɒli'hiːdrən] 160.棱锥pyramid ['pɪrəmɪd]161.棱柱prism ['prɪzəm]162.棱台frustum of a prism ['frʌstəm] ['prɪzəm] 163.旋转rotation [rəʊ'teɪʃn]164.轴axis ['æksɪs]165.圆锥cone [kəʊn] 166.圆柱cylinder ['sɪlɪndə] 167.圆台frustum of a cone ['frʌstəm] 168.球sphere [sfɪə(r)] 169.半球hemisphere ['hemɪsfɪə] 170.底面undersurface ['ʌndəˌsɜːfɪs] 171.空间space [speɪs] 172.坐标系coordinates [kə'ʊɔːdənəts] 173.坐标轴x-axis, y-axis, z-axis ['æksɪs] 174.横坐标x-coordinate[kəʊ'ɔːdɪneɪt] 175.纵坐标y-coordinate176.统计statistics [stə'tɪstɪks] 177.平均数average ['ævərɪdʒ] 178.比例proportion [prə'pɔːʃn] 179.百分比percent [pə'sent] 180.百分点percentage [pə'sentɪdʒ] 181.百分位数percentile [pə'sentaɪl] 182.排列permutation [ˌpɜːmju'teɪʃn] 183.组合combination [ˌkɒmbɪ'neɪʃn] 184.概率probability [ˌprɒbə'bɪləti] 185.图表graph [ɡræf]186.条形统计图bar graph [bɑː] [ɡræf]187.柱形统计图histogram ['hɪstəɡræm] 188.折线统计图broken line graph ['brəʊkən]189.曲线统计图curve diagram [kɜːv] ['daɪəɡræm] 190.扇形统计图pie diagram [paɪ] ['daɪəɡræm]。
美国数学竞赛AMC8 -- 2017年真题解析(英文解析+中文解析)
美国数学竞赛AMC8 -- 2017年真题解析(英文解析+中文解析)Problem 1Answer: ASolution:We compute each expression individually according to the order of operations. We get A is 10, B is 8, C is 9, D is 9, E is 0.中文解析:A: 10; B : 8; C : 9; D: 9; E: 0. 最大值是A。
Problem 2Answer: ESolution:Let x be the total amount of votes casted. From the chart, Brenda received 30% of the votes and had 36 votes. We can express this relationship as 30% x=36. Solving for x, we get x=120.中文解析:Brenda占30% ,是36票,则三个人共收到投票:36/30%=120. 答案是E。
Problem 3Answer: CSolution:Since 2*2=4, 4*4=16,8*8=64,Thus,expression is sqrt(16*(8*2))=8.中文解析:根号4是2. 8*2=16, 根号16是4. 16*4=64,根号64是8. 答案是C。
Problem 4Answer: DSolution:We can approximate 7,928m564 to 8,000,000. We can approximate 0.000315 to 0.0003. Multiplying the two yields 2400.中文解析:7,928,564可以近似于8,000,000. 因此,0.000315*8,000,000=315*8=2520. 近似于2400. 答案是D。
美国数学竞赛amc8的常用数学英语单词
美国数学竞赛amc8的常用数学英语单词等于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公理axiom 定理theorem 计算calculation 运算operation 算术arithmetic 证明prove 假设hypothesis, hypotheses(pl.)命题proposition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 不等式inequation 三次方程cubic equation 四次方程quartic equation阶乘factorial 对数logarithm 指数,幂exponent乘方power 二次方,平方square 三次方,立方cube四次方the power of four, the fourth powern次方the power of n, the nth power开方evolution, extraction 二次方根,平方根square root三次方根,立方根cube root 四次方根the root of four, the fourth rootn次方根the root of n, the nth 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 图象image 函数function 定义域domain, field of definition 值域range 周期性periodicity常量constant 变量variable 单调性monotonicity 奇偶性parity数列,级数series 微积分calculus 微分differential 导数derivative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极限limit 无穷大infinite(a.)infinity(n.)无穷小infinitesimal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 周角perigon锐角acute angle 直角right angle 钝角obtuse angle 平角straight angle底base 边side 高height直角边leg 斜边hypotenuse 勾股定理Pythagorean theorem三角形triangle 锐角三角形acute triangle 直角三角形right triangle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长length 宽width四边形quadrilateral 平行四边形parallelogram 矩形rectangle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多边形polygon 正多边形equilateral polygon 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立方体cube 多面体polyhedron 四面体tetrahedron 五面体pentahedron 六面体hexahedron 平行六面体parallelepiped 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 原点origin横坐标x-coordinate 纵坐标y-coordinate 双曲线hyperbola 抛物线parabola三角trigonometry 正弦sine 余弦cosine 反正弦arc sine 反余弦arc cosine 正切tangent 余切cotangent 反正切arc tangent 反余切arc cotangent正割secant 余割cosecant 反正割arc secant 反余割arc cosecant相位phase 周期period 振幅amplitude内切圆inscribed circle 外切圆circumcircle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)统计statistics 平均数average 加权平均数weighted average概率,或然率probability标准差root-mean-square deviation, standard deviation 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 diagram比例propotion 百分比percent 百分点percentage 百分位数percentile排列permutation 组合combination。
美国数学竞赛AMC8 -- 2008年真题解析(英文解析+中文解析)
美国数学竞赛AMC8 – 2008年真题解析(英文解析+中文解析)Problem 1Answer: BSolution:50-12-24=14中文解析:总共花的钱是:12+12*2=36元。
剩余50-36=14元。
答案是BProblem 2Answer: ASolution:We can derive that c=8,L=6, U=7,and E=1. Therefore, the answer is 8671.中文解析:这10个字母的对应关系是: B -0;E-1; S-2; ......K -9. 按照这个对应关系:C-8,L-6,U-7,E-1. 即8671. 答案是A。
Problem 3Answer: ASolution:We can go backwards by days, but we can also backwards by weeks. If we go backwards by weeks, we see that February 6 is a Friday. If we now go backwards by days, February 1 is a Sunday.中文解析:13日是周五,则13-7=6,即6日也是周五,则倒推2月1日是周日。
答案是A。
Problem 4Answer: CSolution:The area outside the small triangle but inside the large triangle is 16-1=15. This is equally distributed between the three trapezoids. Each trapezoid has an area of 15/3=5.中文解析:大三角形的面积等于小的等边三角形的面积加上3个梯形的面积。
据此,三个梯形的面积是16-1=15. 每个梯形的面积是15/3=5. 答案是C。
留园AMC 8数学专业词汇对照表
product
除
divided by(prep.), divide(v.), division(n.)
商
quotient
和
sum
乘方
power
二次方
square
三次方
cube
幂数
exponent
对数
logarithm
n次方(n≥4)
the power of n, the nth power
二次方根,平方根
系数
coefficient
未知数
unknown, x-factor, y-factor, z-factor
方程
function
图像
Image
映射
mapping
自定域
domain, field of definition
值域
range
常量
constant
变量
variable
单调性
monotonicity
减
minus(prep.), subtract(v.), subtraction(n.)
被减数
minuend
减数
subtrahend
乘
times(prep.), multiply(v.), multiplication(n.)
被乘数
multiplicand, faciend
乘数
multiplicator
小数
decimal
因数
factor
最小公倍数
least common multiple(lcm)
最大公约数
greatest common divisor(gcd)
除数
美国数学竞赛AMC8 -- 2006年真题解析(英文解析+中文解析)
美国数学竞赛AMC8 – 2006年真题解析(英文解析+中文解析) \Problem 1Answer: DSolution:The three prices round to $2, $5, and $10, which has a sum of 17.中文解析:三件商品价格先近似取整,然后求和:2+5+10=17. 答案是D。
Problem 2Answer: CSolution:As the AMC 8 only rewards 1 point for each correct answer, everything is irrelevant except the number Billy answered correctly,13.中文解析:正确的题目每题1分,错误或没做的题目都是0分,做对13题的得分应该是13. 答案是C。
Problem 3Answer: ASolution:When Elisa started, she finished a lap in 25/10=2.5 minutes. Now, she finishes a lap is 24/12=2 minutes. The difference is 2.5-2=0.5中文解析:开始25分钟游10圈,平均2.5分钟游1圈。
后来24分钟游12圈,平均2分钟游1圈。
速度从2.5分钟提高到2分钟,提高了0.5分钟,即1/2 分钟。
答案是A。
Problem 4Answer: BSolution:If the spinner goes clockwise 2+1/4 revolutions and then counterclockwise 3+3/4 revolutions, it ultimately goes counterclockwise 1+1/2 which brings the spinner pointing east.中文解析:最初方向指向西,转整数圈不改变指针方向。
美国数学竞赛AMC8 -- 2018年真题解析(英文解析+中文解析)
美国数学竞赛AMC8 -- 2018年真题解析(英文解析+中文解析)Problem 1Answer: ASolution:You can just do 289/20 and round your answer to get 14.中文解析:比例是1:20 ,真实建筑是289feet,因此复制品的高度是: 289/20约等于14feet. 答案是A. Problem 2Answer: DSolution:By adding up the numbers in each of the 6 parentheses, wehave:(2/1)*(3/2)*(4/3)*(5/4)*(6/5)*(7/6) . Using telescoping, most of the terms cancel out diagonally. We are left with 7 .中文解析:=(2/1)*(3/2)*(4/3)*(5/4)*(6/5)*(7/6)=7/1=7. 答案是D.Problem 3Answer: DSolution:The five numbers which cause people to leave the circle are 7, 14, 17, 21,27. The most straightforward way to do this would be to draw out the circle with the people, and cross off people as you count. The last one standing is Dan.中文解析:依次离开圆圈的数字分别是7, 14, 17, 21, 27,... 直接把A, B, C, D, E 按圆形排列, 依次数, 划掉出局的, 最后剩下的是D. 答案是D.Problem 4Answer: CSolution:We count 3*3=9 unit squares in the middle, and 4 small triangles each with an area of 1. Thus, the answer is 9+4=13.中文解析:这个12边形围起来的小正方形共有9个,其面积是9*1=9. 小三角形有8个,其面积是8*0.5=4. 因此面积一共是9+4=13. 答案是C.Problem 5Answer: ESolution:We can rewrite the given expression as1+(3-2)+(5-4)+...+(2017-2016)+(2019-2018)=1+1+1+ (1)The number of 1s is the same as the number of terms in 1,3,5,7, ……2017, 2019. Thus the answer is 1010.中文解析:把上式按下面的规则用小括号括起来:=1+(3-2)+(5-4)+(7-6)+...+(2017-2016)+(2019-2018)=1+1+1+1+...+1+1.除了第一个1外,还有: 2018/2=1009个1. 因此和是1010. 答案是E.Problem 6Answer: CSolution:Since Anh spends half an hour to drive 10 miles on the coastal road, his speed is 10/0.5=20 mph. His speed on the highway then is 20*3=60 mph. He drives 50 miles, so he drives for 5/6 hours, which is equal to 50 minutes. The total amount of minutes spent on his trip is 30+50=80 minutes.中文解析:海滨道路上花费的时间是30分钟(0.5小时),路程是10英里,因此速度是: 10/0.5=20 . 则高速路的速度是3*20=60 mph. 高速路的距离是50mile, 则时间是50/60=5/6 小时=50分钟. 答案是A.Problem 7Answer: BSolution:We use the property that the digits of a number must sum to a multiple of 9 if it are divisible by 9. This means u=7. Since we are looking for the remainder when divided by 8, we can ignore the thousands. The remainder when 187 is divided by 8 is 3.中文解析:因为这个数能被9整除,因此 2+0+1+8+U 是9的倍数,因此u=7. 20187除以8的余数只需要看后三位187除以3的余数. 余数是3. 答案是B.Problem 8Answer: CSolution:The mean, or average number of days is the total number of days divided by the number of students. The total number of days is (1*1+2*3+3*2+4*6+5*8+6*4+7*2)=109. The total number of students is 1+3+2+6+8+3+2=25. Hence, 109/25=4.36.中文解析:有1个学生锻炼了1天, 3个学生锻炼了2天, 2个学生锻炼了3天, ....平均值是: (1+3*2+2*3+6*4+8*5+3*6+2*7)/(1+3+2+6+8+3+2)=109/25=4.36 答案是C. Problem 9Answer: BSolution:He will place (12*2)+(14*2)=52 tiles around the border. For the inner part of the room, we have 10*14=140 square feet. Each tile takes up 4 square feet, so he will use 140/4=35 tiles for the inner part of the room. Thus, the answer is 52+35=87.中文解析:1-foot 的正方形需要: 16*2+10*2=52块.中间剩下的面积是: 14*10=140. 2-foot的瓷砖的面积是2*2=4. 需要140/4=35块瓷砖.共需要: 52+35=87块瓷砖. 答案是B.Problem 10Answer: CSolution:The sum of the reciprocals is 1/1 + 1/2 +1/4=7/4. Their average is 7/12. Taking the reciprocal of this gives 12/7.中文解析:harmonic mean是先计算这组数的倒数的算数平均值,然后再求倒数. 1/1, 1/2, 1/4 的算数平均值是: 7/12. 其倒数是12/7. 因此harmonic mean是12/7. 答案是C.Problem 11Answer: CSolution:The total number of ways is C(6,2)=15, if we treat Abby and Bridget as a pair and distinguishable and forget the others. The total number of ways they are adjacent = 4 (for the rows) + 3 (for the columns) Therefore, P(Abby and Bridget sitting adjacent) is 7/15.中文解析:第一步安排A的座位, 第二步安排B的座位.A的座位可能位于4个角落之一,也可能位于两个中间位置之一. ,分两种情况.第一种, A的座位位于4个角落之一的可能性是4/6, 下一步安排B的座位, B和A相邻的可能性有: 2/5.第二种, A的座位唯一两个中间位置之一的可能性是2/6, 下一步安排B的座位, B和A相邻的可能性有: 3/5.综合起来: 4/6*2/5 + 2/6 * 3/5 =7/15. 答案是C.Problem 12Answer: BSolution:We see that every 35 minutes the clock passes, the watch passes 30 minutes. That means that the clock is 7/6 as fast the watch, so when the car clock passes 7 hours, the watch has passed 6 hours, meaning that the time would be 6:00.中文解析:当实际时间过了30分钟时(从12:00 到12: 30), 她的汽车表的时间过了35分钟. 其比值时30:35=6:7. 当汽车表显示7个小时时, 根据比例关系,实际时间应该是6点. 答案是B. Problem 13Answer: ASolution:Say Lalia gets a value of x on her first 4 tests, and a value of y on her last test. Thus, 4x+y=410.The value y has to be greater than 82, because otherwise she would receive the same score on her last test. Additionally, the greatest value for y is 98 (as y=100 would give x as a decimal), so therefore the greatest value y can be is 98. As a result, only 4 numbers work, 86, 90, 94, 98.中文解析:假设前4次考试的分数都是x, 最后一次考试的分数是y, 则4x+y=82*5. 即4x=410-y.其中x,y都是正整数, 82<y<=100. 并且410-y必须是4的倍数.y最大可以是98, 因此每次减4,y依次可以是98, 94, 90, 86. 共4种可能性. 答案是A. Problem 14Answer: DSolution:120=2*2*2*3*5. For the greatest five-digit number , 120=8*5*3*1*1. Thus, n is 85311. The sum of each digits is 8+5+3+1+1=18.中文解析:120=2*2*2*3*5. 为了这个5位数最大,首先让万位数上的数字最大, 120可以写成8*5*3*1*1. 因此这个5位数是85311. 其各位数字之和是: 8+5+3+1+1=18. 答案是D.Problem 15Answer: DSolution:Let the radius of the large circle be R. Then the radii of the smaller circles are R/2. The areas of the circles are directly proportional to the square of the radii, so the ratio of the area of the small circle to the large one is 1/4. This means the combined area of the 2 smaller circles is half of the larger circle, and therefore the shaded region is equal to the combined area of the 2 smaller circles, which is 1.中文解析:两个小圆面积合起来是1, 那么一个小圆的面积是0.5. 大圆的半径是小圆的半径的2倍,因此大圆的面积是小圆面积的4倍,大圆的面积是0.5*4=2. 阴影部分的面积是: 2-1=1. 答案是D.Problem 16Answer: CSolution:Since the Arabic books and Spanish books have to be kept together, we can treat them both as just one book. That means we're trying to find the number of ways you can arrange one Arabic book, one Spanish book, and three German books, which is just 5 factorial. Now we multiply this product by 2! because there are 2 factorial ways to arrange just the Arabic books, and 4! ways to arrange just the Spanish books. Multiplying all these together, we have 5!*2!*4!=5760.中文解析:用捆绑法,把2本Arabic 书看做一个整体, 4本Spanish书看做一个整体。
美国数学竞赛AMC8 -- 2005年真题解析(英文解析+中文解析)
美国数学竞赛AMC8 – 2005年真题解析(英文解析+中文解析)Problem 1Answer: BSolution:If x is the number, then 2x=60 and x=30. Dividing the number by 2 yields 15.中文解析:按照Connie的计算,这个数乘以2是60,可知这个数是30. 应该做的计算是30除以2,因而正确答案应该是15. 答案是B。
Problem 2Answer: CSolution:Karl paid 5*2.5=$12.5. 20% of this cost that he saved is 12.5*0.2=$2.5.中文解析:Karl按原价买了5个文件夹,支付的费用是:2.5*5=12.5. 折扣价是:1.25*0.8=10。
如果Karl 等一天,可以省2.5元。
答案是C.Problem 3Answer: DSolution:Rotating square ABCD counterclockwise 45° so that the line of symmetry BD is a vertical line makes it easier to see that 4 squares need to be colored to match its corresponding square.中文解析:如上图所示,以BD为对称轴,标蓝色的方块需要涂黑。
共4块,答案是D。
Problem 4Answer: CSolution:The perimeter of the triangle is 6.1+8.2+9.7=24cm. A square's perimeter is four times its side length, since all its side lengths are equal. If the square's perimeter is 24, the side length is24/4=6, and the area is 6*6=36.中文解析:三角形的周长是:6.1+8.2+9.7=24. 正方形的周长和三角形相等,也是24,则其边长是24/4=6. 其面积是:6*6=36. 答案是C。
美国数学竞赛amc8的常用数学英语单词
美国数学竞赛amc8的常用数学英语单词数学mathematics,maths(BrE), math(AmE)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.)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squar三次方,立方cube四次方the power of four,thefourth powern次方the power of n,the nthpower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scalenetriangle等腰三角形isoscelestriangle等边三角形equilateraltriangle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amplitud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arycentre(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-squaredeviation,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 diagram。
AMC8-10-12 数学英语词汇表
美国数学竞赛AMC系列英语词汇表A(anti)clockwise(逆)顺时针方向;(least)common denominator(最小)公分母;(least)common multiple(最小)公倍数; (prime)factor(质)因子;abnormal distribution;非正态分布; abscissa横坐标;absolute value绝对值,e.g.|‐32|=32; acute angle锐角;acute triangle;锐角三角形;add,plus加;Addition加法;addend;加数;adjacent angle邻角;aggregate;集合;algebra;代数;Algebraical代数的;algebraic term代数项;alternate angle内错角;altitude高;amplitude;振幅;annual每年的;angle bisector角平分线;angle;角;approximate近似;arc弧;arc cosecant;反余割;arc cotangent;反余切;arc cosine;反余弦;arc secant;反正割;arc tangent;反正切;arc sine;反正弦;arc;弧;area;面积;arithmetic mean算术平均值;arithmetic progression(sequence)等差数列; arithmetic;算术;arm直角三角形的股;arrangement排列;augend,summand;被加数;average;平均数;axiom;公理;axis;轴;Bbar graph;条形统计图;barycentre(BrE),barycenter(AmE);重心; base乘幂的底数,底边;base底边,底数(e.g.2的5次方,2就是底数);base;底;binary system;二进制;bisect平分;broken line graph折线统计图;Ccalculation;计算;calculus;微积分;cardinal基数;carry;进位;cent美分;center of a circle圆心;Centigrade摄氏;central angle圆心角;centre(BrE),center(AmE);圆心;chord弦;circle;圆;circular cylinder圆柱体;circumcircle;外切圆;circumference;圆周;circumference,perimeter周长; circumscribe外切;clockwise顺时针;coefficient;系数;column列;combination组合;common logarithm常用对数;common divisor公约数;common factor公因子;common ratio公比;common year平年(365天); complement;补集; complementary function余函数; complementary angle余角; complex fraction繁分数; complex plane复平面; complex number;复数; composite number合数e.g. compounded interest复利; concentric circles同心圆;cone圆锥;congruence全等; congruent;全等的/同余的; consecutive number连续整数; constant常数;coordinate system坐标系; coordinates;坐标系; corresponding对应的; corresponding angle同位角; cosecant;余割;cosine;余弦;cotangent;余切; counterclockwise逆时针; cross section横截面;cube立方数,立方体;cube root立方根;cube立方体,立方数;立方体; cube root;三次方根,立方根; cubic meter立方米;cubic equation;三次方程;curve diagram;曲线统计图; cylinder;圆柱;Ddash line虚线decagon十边形;decagon;十边形; decahedron;十面体;decimal fraction纯小数; decimal system;十进制; decimal;小数;decimal point;小数点; decrease to减少到;decrease by减少了;definite integral;定积分;degree;角度;denominator分母;denote表示;depreciation折旧;depth深度;derivative;导数;determinant;行列式;diagonal对角线;diameter直径;die骰子;difference差;difference of squares平方差; differential;微分;digit数字;dime一角硬币;十分硬币;direct proportion正比;discount打折;Discrete functions离散函数;distinct不同的;distribution;分布;divide除;divided evenly被整除;dividedby(prep.),divide(v.),division(n.)除; dividend被除数,红利;divisible可被整除的;divisor因子,除数;divisor;除数;dodecagon;十二边形; dodecahedron;十二面体;domain,field of definition定义域;down payment直接付款;dozen打(12个);Eedge棱;element;元素;eliminate删除;ellipse;椭圆;endpoint端点;enneagon;九边形;enneahedron;九面体;equals,is equal to,is equivalent to等于; equation;等式,方程式;equilateral triangle等边三角形; equilateral等边形;equilateral polygon;正多边形;equivalent equation同解方程,等价方程; Equivalent algebraic expressions等价代数表达式;escentre(BrE),escenter(AmE);旁心; estimation估计,近似;even integer,even number偶数; evolution,extraction;开方;excentre(BrE),excenter(AmE);外心; exponent;指数,幂;Exponential functions指数函数; exponential decay指数式衰减;exponent指数;;exterior angle外角;Fface of a solid立体的面;factor因子;factorial阶乘;factorization因式分解;Fahrenheit华氏;foot英尺;formula,formulae(pl.);公式;fraction;分数;frustum of a prism棱台;frustum of a cone圆台;function notation方程符号函数符号; function;函数;Ggallon加仑(1gallon=4quart);geometric mean几何平均数;geometric progression(sequence)等比数列; geometry;几何;graph;图表;grid网格;Hheight;高;hemisphere;半球;hendecagon;十一边形; hendecahedron;十一面体;heptagon七边形;heptahedron;七面体;hexadecimal system;十六进制;hexagon六边形;hexahedron;六面体;histogram;柱形统计图;horizontal and vertical translation of functions 函数的水平和垂直的平移;hundreds digit百分数;hyperbola;双曲线;hypotenuse;斜边;hypothesis,hypotheses(pl.);假设;Iicosahedron;二十面体;image;图象;imaginary number;虚数;improper fraction假分数;incentre(BrE),incenter(AmE);内心;inch英寸;included angle夹角;included side夹边;increase to增加到;increase by增加了;indefinite integral;不定积分;inequality不等式;inequation;不等式;infinite decimal无穷小数;infinite(a.)infinity(n.);无穷大; infinitesimal;无穷小;inscribe内切;inscribed triangle内接三角形;inscribed circle;内切圆;insignificant digit;无效数字;integer;整数;integer,whole number整数;integral;积分;intercalary year(leap year)闰年(366天); intercept截距;interest利息;interior angle内角;intersect相交;intersection;交集;inverse function反函数;inverse倒数;irrational number;无理数;irrational(number)无理数;;is greater than大于;is equal or greater than大于等于;is lesser than小于;is equal or lesser than小于等于; isosceles triangle等腰三角形;isosceles triangle;等腰三角形;isosceles trapezoid;等腰梯形;Lleg三角形的直角边;leg;直角边;length;长;like terms,similar terms同类项;limit;极限;line segment线段;line;线;line,straight line直线;linear equation线性方程(e.g.5x+6=22); linear一次的,线性的;list price标价;literal coefficient字母系数;locus,loca(pl.);轨迹;logarithm;对数;Mmapping;映射;margin利润;markup涨价;mathematics,maths(BrE),math(AmE)数学; matrix;矩阵;mean平均数;median中数;median of a triangle三角形的中线; meter米;micron微米;midpoint中点;minuend;被减数;minus(prep.),subtract(v.),subtraction(n.)减; minute分(角度的度量单位,60分=1度); mixed number带分数;mode众数;monomial;单项式;monotonicity;单调性;multilateral多边的;multiple倍数;multiplicand,faciend;被乘数; multiplicator;乘数;multiply,times乘;Nnatural number自然数;natural number;自然数;negative number负数;negative whole number负整数; negative;负;nickel5美分硬币;nonagon九边形;nonnegative非负的;normal distribution;正态分布;null,zero,nought,nil零;number line数轴;number;数;numerator分子;numerical coefficient数字系数;n次方the power of n,the nth power;n次方根the root of n,the nth root;Ooblique斜三角形;obtuse angle;钝角;obtuse triangle;钝角三角形;octagon八边形;octahedron;八面体;odd integer,odd number奇数; operation;运算;operator;运算符;opposite直角三角形中的对边;ordinal序数;ordinary scale,decimal scale十进制; ordinate纵坐标;origin;原点;original equation原方程;orthocentre(BrE),orthocenter(AmE);垂心; Pparabola;抛物线;parallel lines平行线;parallel;平行;parallelepiped;平行六面体; parallelogram平行四边形;parentheses括号;parity;奇偶性;penny一美分硬币;pentagon五边形;pentahedron;五面体;per capita每人;percent;百分比;percentage;百分点;percentile;百分位数;perigon;周角;perimeter;周长;period;周期;periodicity;周期性;permutation排列;perpendicular垂直;phase;相位;pi;圆周率;pie diagram;扇形统计图;pint品脱(干量或液量的单位);PL plural(复数)的缩写;plane平面;plane geometry平面几何;plane;面;plus(prep.),add(v.),addition(n.)加;point;点;polygon;多边形;polyhedron;多面体;polynomial,multinomial;多项式;positive number正数;positive whole number正整数; positive;正;power乘方;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;prism;棱柱;probability;概率,或然率;product积;profit利润;proper subset真子集;proper fraction真分数;properties of exponential functions指数函数的特性;proportion比例;proposition;命题;prove;证明;pyramid;棱锥;pythagorean theorem勾股定理;Qquadrant象限;quadratic functions二次函数;quadratic equations二次方程式二次等式; quadratic equation;二次方程; quadrilateral四边形;quart夸脱;quarter四分之一;25美分硬币;quartic equation;四次方程;quotient商;Rradial;射线;radian弧度;radical sign,root sign根号;radius半径;range值域;ratio比率;rational expression有理式有理表达式; rational number;有理数;real number,rational number实数,有理数; real number;实数; Reciprocaltrigonometric ratios倒数三角函数比;rectangle;矩形;rectangular solid长方体;rectangular coordinate直角坐标系; recurring decimal循环小数;reflections of functions函数的倒映映射; regular polygon正多边形;regular solid/regular polyhedron正多面体; remainder余数;remainder;差;retail price零售价;reverse反转;rhomb,rhombus,rhombi(pl.),diamond菱形; rhombus菱形;right angle直角;right triangle直角三角形;right trapezoid;直角梯形;ring;环;root‐mean‐square deviation,standard deviation标准差;rotation;旋转;round to四舍五入;round off四舍五入;round angle周角;round up;上舍入;round;四舍五入;round down;下舍入;Sscalene triangle不等边三角形;score廿(20个);secant;正割;sector;扇形;segment of a circle弧形;segment;线段;semicircle半圆;series;数列,级数;side边长;边;significant digit;有效数字;similar;相似;simple fraction简分数;simple interest单利;simple equation;一次方程;sine;正弦;slope斜率;solid立体的;体;solution set解集;space;空间;sphere球体;square root平方根;square正方形,平方;square measure平方单位制;square;二次方,平方;square root;二次方根,平方根;square;正方形;statistics;统计;straight angle平角;subset;子集;subtract减;subtrahend;减数;sum;和;supplementary angles补角;surface area表面积;Ttable表格;tangent切线的;tangent;正切;tens十位;tenths unit十分位;tetrahedron;四面体;the power of four,the fourth power四次方; the root of four,the fourth root四次方根; theorem;定理;tie打;times(prep.),multiply(v.),multiplication(n.)乘; to the nearest四舍五入;transversal截线;trapezoid梯形;trapezoid;梯形;triangle inequality三角不等式;triangle;三角形;trigonometric function三角函数; Trigonometric functions三角函数; trigonometry三角学;三角; truncation;截尾;Uundersurface;底面;union并集;unit单位,位;units个位;unknown,x‐factor,y‐factor,z‐factor未知数;Vvariable变量;variance;方差;vertex(复数形式vertices)顶点;vertical angle对顶角;void;空集;volume体积;vulgar fraction,common fraction普通分数; Wweight,significance;权;weighted average加权平均值;width;宽;Xx‐axis,y‐axis,z‐axis坐标轴;x‐coordinate;横坐标;Yyard码;y‐coordinate;纵坐标;。
- 1、下载文档前请自行甄别文档内容的完整性,平台不提供额外的编辑、内容补充、找答案等附加服务。
- 2、"仅部分预览"的文档,不可在线预览部分如存在完整性等问题,可反馈申请退款(可完整预览的文档不适用该条件!)。
- 3、如文档侵犯您的权益,请联系客服反馈,我们会尽快为您处理(人工客服工作时间:9:00-18:30)。
Aabbreviation 简写符号;简写absolute error 绝对误差absolute value 绝对值accuracy 准确度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 property 可加性adjacent angle 邻角adjacent side 邻边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 operation 代数运算alternate angle (交)错角alternate segment 交错弓形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 greatest slope 最大斜率的角angle of inclination 倾斜角angle of intersection 相交角;交角angle of rotation 旋转角angle of the sector 扇形角angle sum of a triangle 三角形内角和angles at a point 同顶角annum(X% per annum) 年(年利率X%)anti-clockwise direction 逆时针方向;返时针方向anti-logarithm 逆对数;反对数anti-symmetric 反对称apex 顶点approach 接近;趋近approximate value 近似值approximation 近似;略计;逼近Arabic system 阿刺伯数字系统arbitrary 任意arbitrary constant 任意常数arc 弧arc length 弧长arc-cosine function 反余弦函数arc-sin function 反正弦函数arc-tangent function 反正切函数area 面积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arrow 前号ascending order 递升序ascending powers of X X 的升幂associative law 结合律assumed mean 假定平均数assumption 假定;假设average 平均;平均数;平均值average speed 平均速率axiom 公理axis 轴axis of parabola 拋物线的轴axis of symmetry 对称轴Bback substitution 回代bar chart 棒形图;条线图;条形图;线条图base (1)底;(2)基;基数base angle 底角base area 底面base line 底线base number 底数;基数base of logarithm 对数的底bearing 方位(角);角方向(角)bell-shaped curve 钟形图bias 偏差;偏倚billion 十亿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 expression 二项式bisect 平分;等分bisection method 分半法;分半方法bisector 等分线;平分线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cancel 消法;相消canellation law 消去律capacity 容量Cartesian coordinates 笛卡儿坐标Cartesian plane 笛卡儿平面category 类型;范畴central line 中线central tendency 集中趋centre 中心;心centre of a circle 圆心centroid 形心;距心certain event 必然事件chance 机会change of base 基的变换change of subject 主项变换change of variable 换元;变量的换chart 图;图表checking 验算chord 弦chord of contact 切点弦circle 圆circular 圆形;圆的circular function 圆函数;三角函数circular measure 弧度法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classification 分类clnometer 测斜仪clockwise dirction 顺时针方向closed convex region 闭凸区域closed interval 闭区间coefficient 系数coincide 迭合;重合collection of terms 并项collinear 共线collinear planes 共线面column (1)列;纵行;(2) 柱combination 组合common chord 公弦common denominator 同分母;公分母common difference 公差common divisor 公约数;公约common factor 公因子;公因子common logarithm 常用对数common multiple 公位数;公倍common ratio 公比common tangetn 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complement 余;补余complementary angle 余角complementary event 互补事件complementary probability 互补概率completing the square 配方complex number 复数complex root 复数根composite number 复合数;合成数compound bar chart 综合棒形图compound discount 复折扣compound interest 复利;复利息computation 计算computer 计算机;电子计算器concave 凹concave downward 凹向下的Ddata 数据decagon 十边形decay 衰变decay factor 衰变因子decimal 小数decimal place 小数位decimal point 小数点decimal system 十进制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distance 距离distance formula 距离公式distinct roots 相异根distincr solution 相异解distribution 公布distrivutive law 分配律divide 除dividend (1)被除数;(2)股息divisible 可整除division 除法division algorithm 除法算式divisor 除数;除式;因子divisor of zero 零因子dodecagon 十二边形dot 点double root 二重根due east/ south/ west /north 向东/ 南/ 西/ 北definiton 定义degree (1)度;(2)次degree of a polynomial 多项式的次数degree of accuracy 准确度degree of precision 精确度delete 删除;删去denary number 十进数denary scale 十进法denary system 十进制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descending order 递降序descending powers of X X的降序detached coefficients 分离系数(法) deviation 偏差;变差deviation from the mean 离均差diagonal 对角diagram 图;图表diameter 直径difference 差digit 数字dimension 量;量网;维(数)direct proportion 正比例direct tax, direct taxation 直接税direct variation 正变(分)directed angle 有向角directed number 有向数direction 方向;方位discontinuous 间断(的);非连续(的);不连续(的)discount 折扣discount per cent 折扣百分率discrete 分立;离散discrete data 离散数据;间断数据discriminant 判别式dispersion 离差displacement 位移disprove 反证Eedge 棱;边elimination 消法elimination method 消去法;消元法elongation 伸张;展empirical data 实验数据empirical formula 实验公式empirical probability 实验概率;经验概率enclosure 界限end point 端点entire surd 整方根equal 相等equal ratios theorem 等比定理equal roots 等根equality 等(式)equality sign 等号equation 方程equation in one unknown 一元方程equation in two unknowns(variables) 二元方程equation of a straight line 直线方程equation of locus 轨迹方程equiangular 等角(的)extreme value 极值equidistant 等距(的)equilaeral 等边(的)equilateral polygon 等边多边形equilateral triangle 等边三角形equivalent 等价(的) error 误差escribed circle 旁切圆estimate 估计;估计量Euler's formula 尤拉公式;欧拉公式evaluate 计值even function 偶函数even number 偶数evenly distributed 均匀分布的event 事件exact 真确exact solution 准确解;精确解;真确解exact value 法确解;精确解;真确解example 例excentre 外心exception 例外excess 起exclusive 不包含exclusive events 互斥事件exercise 练习expand 展开expand form 展开式expansion 展式expectation 期望expectation value, expected value 期望值;预期值experiment 实验;试验experimental 试验的experimental probability 实验概率exponent 指数express…in terms of….. 以………表达expression 式;数式extension 外延;延长;扩张;扩充exterior angle 外角external angle bisector 外分角external point of division 外分点extreme point 极值点Fface 面factor 因子;因式;商factor method 因式分解法factor theorem 因子定理;因式定理factorial 阶乘factorization 因子分解;因式分解factorization of polynomial 多项式因式分解FALSE 假(的)feasible solution 可行解;容许解Fermat’s last theorem 费尔马最后定理Fibonacci number 斐波那契数;黄金分割数Fibonacci sequence 斐波那契序列fictitious mean 假定平均数figure (1)图(形);(2)数字finite 有限finite population 有限总体finite sequence 有限序列finite series 有限级数first quartile 第一四分位数first term 首项fixed deposit 定期存款fixed point 定点flow chart 流程图foot of perpendicular 垂足for all X 对所有Xfor each /every X 对每一Xform 形式;型formal proof 形式化的证明format 格式;规格formula(formulae) 公式four rules 四则four-figure table 四位数表fourth root 四次方根fraction 分数;分式fraction in lowest term 最简分数fractional equation 分式方程fractional index 分数指数fractional inequality 分式不等式free fall 自由下坠frequency 频数;频率frequency distribution 频数分布;频率分布frequency distribution table 频数分布表frequency polygon 频数多边形;频率多边形frustum 平截头体function 函数function of function 复合函数;迭函数functional notation 函数记号Ggain 增益;赚;盈利gain per cent 赚率;增益率;盈利百分率game (1)对策;(2)博奕general form 一般式;通式general solution 通解;一般解general term 通项geoborad 几何板geometric mean 几何平均数;等比中项geometric progression 几何级数;等比级数geometric sequence 等比序列geometric series 等比级数geometry 几何;几何学given 给定;已知golden section 黄金分割grade 等级gradient (1)斜率;倾斜率;(2)梯度grand total 总计graph 图像;图形;图表graph paper 图表纸graphical method 图解法graphical representation 图示;以图样表达graphical solution 图解greatest term 最大项greatest value 最大值grid lines 网网格线group 组;grouped data 分组数据;分类数据grouping terms 并项;集项growth 增长growth factor 增长因子Hhalf closed interval 半闭区间half open interval 半开区间head 正面(钱币)height 高(度)hemisphere 半球体;半球heptagon 七边形Heron's formula 希罗公式hexagon 六边形higher order derivative 高阶导数highest common factor(H.C.F) 最大公因子;最高公因式;最高公因子Hindu-Arabic numeral 阿刺伯数字histogram 组织图;直方图;矩形图horizontal 水平的;水平horizontal line 横线;水平线hyperbola 双曲线hypotenuse 斜边Iidentical 全等;恒等identity 等(式)identity relation 恒等关系式if and only if/iff 当且仅当;若且仅若if…., then 若….则;如果…..则illustration 例证;说明image 像点;像imaginary circle 虚圆imaginary number 虚数imaginary root 虚根implication 蕴涵式;蕴含式imply 蕴涵;蕴含impossible event 不可能事件improper fraction 假分数inclination 倾角;斜角inclined plane 斜面included angle 夹角included side 夹边inclusive 包含的;可兼的inconsistent 不相的(的);不一致(的) increase 递增;增加increasing function 递增函数interior angles on the same side of the transversal 同旁内角interior opposite angle 内对角internal bisector 内分角internal division 内分割internal point of division 内分点inter-quartile range 四分位数间距intersect 相交intersection (1)交集;(2)相交;(3)交点interval 区间intuition 直观invariance 不变性invariant (1)不变的;(2)不变量;不变式inverse 反的;逆的inverse circular function 反三角函数inverse cosine function 反余弦函数inverse function 反函数;逆函数inverse problem 逆算问题inverse proportion 反比例;逆比例inverse sine function 反正弦函数inverse tangent function 反正切函数inverse variation 反变(分);逆变(分) irrational equation 无理方程irrational number 无理数irreducibility 不可约性irregular 不规则isosceles triangle 等腰三角形increasing sequence 递增序列increasing series 递增级数increment 增量independence 独立;自变independent event 独立事件independent variable 自变量;独立变量indeterminate (1)不定的;(2)不定元;未定元indeterminate coefficient 不定系数;未定系数indeterminate form 待定型;不定型index,indices 指数;指index notation 指数记数法inequality 不等式;不等inequality sign 不等号infinite 无限;无穷infinite population 无限总体infinite sequence 无限序列;无穷序列infinite series 无限级数;无穷级数infinitely many 无穷多infinitesimal 无限小;无穷小infinity 无限(大);无穷(大)initial point 始点;起点initial side 始边initial value 初值;始值input 输入input box 输入inscribed circle 内切圆insertion 插入insertion of brackets 加括号instantaneous 瞬时的integer 整数integral index 整数指数integral solution 整数解integral value 整数值intercept 截距;截段intercept form 截距式intercept theorem 截线定理interchange 互换interest 利息interest rate 利率interest tax 利息税interior angle 内角Jjoint variation 联变(分);连变(分)Kknown 己知LL.H.S. 末项law 律;定律law of indices 指数律;指数定律law of trichotomy 三分律leading coefficient 首项系数least common multiple, lowest common multiple (L.C.M) 最小公倍数;最低公倍式least value 最小值lemma 引理length 长(度)letter 文字;字母like surd 同类根式like terms 同类项limit 极限line 线;行line of best-fit 最佳拟合line of greatest slope 最大斜率的直;最大斜率line of intersection 交线line segment 线段linear 线性;一次linear equation 线性方程;一次方程linear equation in two unknowns 二元一次方程;二元线性方程linear inequality 一次不等式;线性不等式linear programming 线性规划literal coefficient 文字系数literal equation 文字方程load 负荷loaded coin 不公正钱币loaded die 不公正骰子locus, loci 轨迹logarithm 对数logarithmic equation 对数方程logarithmic function 对数函数logic 逻辑logical deduction 逻辑推论;逻辑推理logical step 逻辑步骤long division method 长除法loss 赔本;亏蚀loss per cent 赔率;亏蚀百分率lower bound 下界lower limit 下限lower quartile 下四分位数lowest common multiple(L.C.M) 最小公倍数Mmagnitude 量;数量;长度;大小major arc 优弧;大弧major axis 长轴major sector 优扇形;大扇形major segment 优弓形;大弓形mantissa 尾数mantissa of logarithm 对数的尾数;对数的定值部many-sided figure 多边形marked price 标价mathematical induction 数学归纳法mathematical sentence 数句mathematics 数学maximize 极大maximum absolute error 最大绝对误差maximum point 极大点maximum value 极大值mean 平均(值);平均数;中数mean deviation 中均差;平均偏差measure of dispersion 离差的量度measurement 量度median (1)中位数;(2)中线meet 相交;相遇mensuration 计量;求积法method 方法method of completing square 配方法method of substitution 代换法;换元法metric unit 十进制单位mid-point 中点mid-point formula 中点公式mid-point theorem 中点定理million 百万minimize 极小minimum point 极小点minimum value 极小值minor (1)子行列式;(2)劣;较小的minor arc 劣弧;小弧minor axis 短轴minor sector 劣扇形;小扇形minor segment 劣弓形;小弓形minus 减minute 分mixed number(fraction) 带分数modal class 众数组mode 众数model 模型monomial 单项式multinomial 多项式multiple 倍数multiple root 多重根multiplicand 被乘数multiplication 乘法multiplication law (of probability) (概率)乘法定律multiplicative property 可乘性multiplier 乘数;乘式multiply 乘mutually exclusive events 互斥事件mutually independent 独立; 互相独立mutually perpendicular lines 互相垂直Nn factorial n阶乘n th root n次根;n次方根natural number 自然数negative 负negative angle 负角negative index 负指数negative integer 负整数negative number 负数neighborhood 邻域net 净(值)n-gon n边形nonagon 九边形non-collinear 不共线non-linear 非线性non-linear equation 非线性方程non-negative 非负的non-trivial 非平凡的non-zero 非零normal (1)垂直的;正交的;法线的 (2)正态的 (3)正常的;正规的normal curve 正态分记伲怀1分记伲徽媲伲徽忧?normal distribution 正态分布,常态分布normal form 法线式notation 记法;记号number 数number line 数线number pair 数偶number pattern 数型number plane 数平面number system 数系numeral 数字;数码numeral system 记数系统numerator 分子numerical 数值的;数字的numerical expression 数字式numerical method 计算方法;数值法Ooblique 斜的oblique cone 斜圆锥oblique triangle 斜三角形obtuse angle 钝角obtuse-angled triangle 钝角三角形octagon 八边形octahedron 八面体odd function 奇函数odd number 奇数one-one correspondence 一一对应open interval 开区间open sentence 开句operation 运算opposite angle 对角opposite interior angle 内对角opposite side 对边optimal solution 最优解order (1)序;次序;(2)阶;级ordered pair 序偶origin 原点outcome 结果output 输出overlap 交迭;相交Pparabola 拋物线parallel 平行(的)parallel lines 平行(直线) parallelogram 平行四边形parameter 参数;参变量partial fraction 部分分数;分项分式polar coordinate system 极坐标系统polar coordinates 极坐标pole 极polygon 多边形polyhedron 多面体polynomial 多项式polynomial equation 多项式方程positive 正positive index 正指数positive integer 正整数positive number 正数power (1)幂;乘方;(2)功率;(3)检定力precise 精密precision 精确度prime 素prime factor 质因子;质因素prime number 素数;质数primitive (1)本原的;原始的;(2)原函数principal (1)主要的;(2)本金prism 梭柱(体);角柱(体)prismoid平截头棱锥体probability 概率problem 应用题produce 延长product 乘积;积product rule 积法则profit 盈利profit per cent 盈利百分率profits tax 利得税progression 级数proof 证(题);证明proper fraction 真分数property 性质property tax 物业税proportion 比例proportional 成比例protractor 量角器pyramid 棱锥(体);角锥(体) Pythagoras’ Theorem 勾股定理Pythagorean triplet 毕氏三元数组partial sum 部分和partial variation 部分变(分) particular solution 特解Pascal’s triangle 帕斯卡斯三角形pattern 模型;规律pegboard 有孔版pentadecagon 十五边形pentagon 五边形per cent 百分率percentage 百分法;百分数percentage decrease 百分减少percentage error 百分误差percentage increase 百分增加percentile 百分位数perfect number 完全数perfecr square 完全平方perimeter 周长;周界period 周期periodic function 周期函数permutation 排列perpendicular 垂线;垂直(于) perpendicular bisector 垂直平分线;中垂线perpendicular line 垂直线pictogram 象形图pie chart 饼图;圆瓣图pinboard 钉板place holder 补位数字place value 位值plan (1)平面图;(2)计划plane 平面plane figure 平面图形plot 绘图plus 加point 点point circle 点圆point of contact 切点point of division 分点point of intersection 交点point-slope form 点斜式polar axis 极轴polar coordinate plane 极坐标平面polar coordinate 极坐标系统Qquadrant 象限quadratic equation 二次方程(式) quadratic formula 二次公式quardratic function 二次函数quadratic inequality 二次不等式quadratic polynomial 四边形quantity 数量quartile 四分位数quotient 商;商式RR.H.S 右radian 弧度radian measure 弧度法radical 根式;根号;根数radius, radii 半径random 随机random experiment 随机试验random number 随机数range 值域;区域;范围;极差;分布域rate 率;利率ratio 比 ; 比率rational expression 有理式;有理数式rational function 有理函数rational index 有理数指数rational number 有理数rationalization 有理化raw data 原始数据raw score 原始分(数)real axis 实轴real number 实数real root 实根reason 理由reciprocal 倒数rectangle 长方形;矩形rectangular block 长方体rectangular coordinate plane 直角坐标平面rectangular coordinates 直角坐rectilinear figure 直线图形recurrent 循环的recurring decimal 循环小数reduce 简化reducible 可约的;可化简的reference angle 参考角reflex angle 优角;反角region 区域regular 正;规则regular polygon 正多边形reject 舍去;否定relation 关系;关系式relative error 相对误差remainder 余数;余式;剩余remainder term 余项remainder theorem 余式定理removal of brackets 撤括号;去括号repeated trials 重复试验resolve 分解revolution 旋转;周转rhombus 菱形right angle 直角right circular cone 直立圆锥(体)right circular cylinder 直立圆柱(体)right prism 直立棱柱;直立角柱(体) right pyramid 直立棱锥;直立角锥(体) right-angled triangle 直角二角形root 根rotation 旋转round angle 周角rounded number 舍数rounding(off) 舍入;四舍五入row 行;棋行rule 规则;法(则)ruler 直尺Ssalaries tax 俸税sample 抽样;样本sample space 样本空间satisfy 满足;适合scale 比例尺;标度;图尺scalene triangle 不等边三角形;不规则三角形scientific notation 科学记数法solution of triangle 三角形解法solve 解special angle 特殊角;特别角speed 速率sphere 球形;球面square (1)平方;(2)正方形square bracket 方括号square number 正方形数;平方数square root 平方根;二次根standard deviation 标准差;标准偏离secant 割second 秒second quartile 第二四分位数(1)截面;截线;(2)截点section (1)截面;截线;(2)截点section formula 截点公式sector 扇式segment 段;节segment of a circle 弓形selling price 售价semi-circle 半圆semi-vertical angle 半顶角sentence 句;语句sequence 序列series 级数set square 三角尺;三角板shaded portion 有阴影部分shape 形状side 边;侧sign 符号;记号signed number 有符号数significant figure 有效数字similar 相似similar figures 相似图形similar triangles 相似三角形similarity 相似(性)simple equation 简易方程simple interest 单利;单利息simplify 简化simultaneous equations 联立方程simultaneous inequalities 联立不等式simultaneous linear equations in two unknowns 联合二次线性方程式sine 正弦sine formula 正弦公式slant edge 斜棱slant height 斜高slope 斜率;斜度;倾斜;坡度slope-intercept form 斜率截距式;斜截式solid 立体;固体soild with uniform corss-section 有均匀横切面的立体solution 解;解法solution of equation 方程解Uuniform 一致(的);均匀(的)uniform cross-section 均匀横切面uniform speed 匀速率uniformly distributed 均匀分布unique solution 唯一解uniqueness 唯一性unit 单位unit area 单位面积unit circle 单位圆unit volume 单位体积unknown 未知数;未知量unlike 异类项upper bound 上界upper limit 上限upper quartile 上四分位数Vvalue 值variable 变项;变量;元;变元;变数variable speed 可变速率variance 方差variation 变数;变分verify 证明;验证vertex, vertices 顶(点);极点vertical 铅垂;垂直vertical angle 顶角vertical line 纵线;铅垂vertically opposite angles 对顶角volume 体积Wweight (1)重量;(2)权weighted average, weighted mean 加权平均数whole number 整数;完整数width 阔度without loss of generality 不失一般性Xx-axis x轴x-coordinate x坐标x-intercept x轴截距Yy-axis y轴y-coordinate y坐标y-intercept y轴截距Zzero 零zero factor 零因子zeros of a function 函数零值统计学population 母体sample 样本census 普查sampling 抽样quantitative 量的qualitative/categorical 质的discrete 离散的continuous 连续的population parameters 母体参数sample statistics 样本统计量descriptive statistics 叙述统计学inferential/inductive statistics 推论/归纳统计学levels of measurement 衡量尺度nominal scale 名目尺度ordinal scale 顺序尺度interval scale 区间尺度ratio scale 比例尺度frequency distribution 次数分配relative frequency 相对次数range 全距class midpoint 组中点class limits 组限class boundaries 组界class width 组距cumulative frequency (以下) 累加次数decumulative frequency 以上累加次数histogram 直方图pie chart 饼图ogive 肩形图frequency polygon 多边形图cumulative frequency polygon 累加次数多边形图box plot 盒须图stem and leaf plot 枝叶图measures of central tendency 中央趋势量数mean 平均数median 中位数mode 众数location measures 位置量数percentile 百分位数quartile 四分位数decile 十分位数dispersion measures 分散量数range 全距interquartile-range IQR 四分位距mean absolute deviation 平均绝对离差variance 变异数standard deviation 标准差coefficient of variation 变异系数left-skewed 左偏negative-skewed 负偏right-skewed 右偏positive-skewed 正偏contingency table 列联表sampling distribution (of a statistic)(某个统计量的) 抽样分布point estimate 点估计值point estimator 点估计式unbiased estimator 不偏点估计式efficient estimator 有效点估计式consistent estimator 一致点估计式confidence level 信赖水准confidence interval 信赖区间null hypothesis 虚无假设alternative hypothesis 对立假设left-tailed test 左尾检定right-tailed test 右尾检定two-tailed test 双尾检定test statistic 检定统计量critical value 临界值。