美国数学竞赛AMC单词表

AMC数学单词表分类（汉英）

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paragon

底base

边side

高height

线段line segment

长length

平行线parallel lines

正三角形regular triangle

等腰三角形isosceles triangle

平行四边形parallelogram n.

梯形trapezia n.

菱形rhombus

正方体，立方体，立方cube n.

长方体cuboid adj.

圆柱column n.

圆锥cone

尺寸measure n.，v.

半圆semicircle

半径radius n. (radii pl.)

直径diameter n.

表面积surface area

多边形polygon

凸多边形convex polygon

正多边形regular polygon

直角right-angle

直角三角形right-triangle

锐角acute-angle

空间space

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

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，loci（pl.）

相似similar

全等congruent

三角trigonometry

正弦sine

余弦cosine

正切tangent

余切cotangent

正割secant

余割cosecant

反正弦arcsine

反余弦arccosine

反正切arctangent

反余切arccotangent

反正割arcsecant

反余割arccosecant

相位phase

周期period

振幅amplitude

内心incentre（BrE）

外心excentre（BrE）

旁心escentre（BrE）

垂心orthocentre（BrE）

重心barycentre（BrE）

内切圆inscribedcircle

外切圆circumcircle

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

正多边形equilateral polygon

代数 algebra

整数integer，whole number

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，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roundup

有效数字significant digit

无效数字insignificant digit

公式formula，formulae（pl.）

单项式monomial

多项式polynomial，multinomial

系数coefficient

数学mathematics，maths（BrE），math（AmE）等于equals，is equal 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

余数remainder

乘times（prep.），multiply（v.），multiplication（n.）被乘数multiplicand

乘法multiplication

积product

除divided by（prep.），divide（v.），division（n.）

质数prime number

合数composite number

正数positive number

平均数mean

奇数odd adj.

偶数even n.

偶数even integer, even number

值value

最小值minimum

最大的，最大值maximum n.

最小的，最小值minimum n.

最小可能值least possible value

约数，除数divisor n.

最小公倍数least common multiple

正整数positive integer

真分数proper fraction

普通分数vulgar fraction

分母denominator

最小公分母least common denominator

分子numerator

带分数mixed number

余数remainder

简分数simple(common)fraction 循环小数 circulating decimal 纯小数decimal faction

混合小数mixed decimal

百分比percentage

四分之一quarter

大于more than

小于less than

不大于not more than

数字，阿拉伯数字digit n.

个位数字unit’s digit

十位数字tens digit

个位units

十位tens

十分位tenths

和，总数sum n.

减，负，负数minus(take away) 乘数multiple

差difference

相等，等于equal

被整除，红利dividend

平均数average n.

乘方power

商quotient

方程equation n.

满足satisfy v.

增加increase n.

减少reduce v.

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

集合set

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

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

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

n次方根the root of n，the nth root

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proportion

百分比percent

百分点percentage

百分位数percentile

排列permutation

组合combination

概率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

AMC数学单词表分类（英汉）

1常见单词

side 边长

perimeter n. 周长

circumference 周长，圆周

width宽

area n.面积

volume体积

arithmetic progression(sequence)等差数列

altitude高

bisect平分

divisor因子

factor因子

common factor公因子

common multiple公倍数

common divisor公因数

common fraction普通分数

complex fraction繁分数

consecutive number连续整数

consecutive even integer连续偶数

consecutive odd integer连续奇数

direct proportion正比

inverse proportion反比

distinct不同的

factorial阶乘

inverse倒数

reciprocal倒数

progression数列

the extremes of a proportion比例外项

the means of a proportion比例内med

median中位数，中值

mode众数，一组数据中出现最多的数

arranged安排的

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

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.2x +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

round off四舍五入

6.有关数论

natural number自然数

positive number正数

negative number负数

odd integer, odd number奇数

even integer, even number偶数

integer, whole number整数

positive whole number正整数

negative whole number负整数

consecutive number连续整数

real number实数

rational number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

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

8.其它

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

vertical angle对顶角

central angle圆心角

interior angle内角

exterior angle外角

supplementary angles补角

complementary angle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

cross section横截面

center of a circle圆心

chord弦

radius半径

angle bisector角平分线

diagonal对角线

diameter直径

edge棱/边

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

单位类

cent美分

penny 1美分硬币

nickel5美分硬币

dime一角硬币

dozen打(12个)

score廿(20个)

Centigrade摄氏

Fahrenheit华氏

quart夸脱

gallon加仑(1gallon=4quart)

yard码

meter米

micron微米

inch英寸

foot英尺

minute分(角度的度量单位，60分=1度) square measure平方单位制

cubic meter立方米

pint品脱(干量或液量的单位

AMC10美国数学竞赛A卷附中文翻译和答案之欧阳学创编

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2011AMC10美国数学竞赛A卷附中文翻译和答案

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2. is the value of friends ate at a restaurant and agreed to share the bill equally. Because Judi forgot her money, each of her seven friends paid an extra $ to cover her portion of the total bill. What was the total bill is in the grade and weighs 106 pounds. His quadruplet sisters are tiny babies and weigh 5, 5, 6, and 8 pounds. Which is greater, the average (mean) weight of these five children or the median weight, and by how many pounds number in each box below is the product of the numbers in the two boxes that touch it in the row above. For example, . What is the missing number in the top row

and his mom stopped at a railroad crossing to let a train pass. As the train began to pass, Trey counted 6 cars in the first 10 seconds. It took the train 2 minutes and 45 seconds to clear the crossing at a constant speed. Which of the following was the most likely number of cars in the train fair coin is tossed 3 times. What is the probability of at least two consecutive heads Incredible Hulk can double the distance he jumps with each succeeding jump. If his first jump is 1 meter, the second jump is 2 meters, the third jump is 4 meters, and so on, then on which jump will he first be able to jump more than 1 kilometer is the ratio of the least common multiple of 180 and 594 to the greatest common factor of 180 and 594 11. Ted's grandfather used his treadmill on 3 days this week. He went 2 miles each day. On Monday he jogged at a speed of 5 miles per hour. He walked at the rate of 3 miles per hour on Wednesday and at 4 miles per hour on Friday. If Grandfather had always walked at 4 miles per hour, he would have spent less time on the treadmill. How many minutes less 12. At the 2013 Winnebago County Fair a vendor is offering a "fair special" on sandals. If you buy one pair of sandals at the regular price of $50, you get a second pair at a 40% discount, and a third pair at half the regular price. Javier took advantage of the "fair special" to buy three pairs of sandals. What percentage of the $150 regular price did he save

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Each of the small circles in the figure has radius one. The innermost circle is tangent to the six circles that surround it, and each of those circles is tangent to the large circle and to its small-circle neighbors. Find the area of the shaded region. Problem 6 For how many positive integers does there exist at least one positive integer n such that ? infinitely many Problem 7 A arc of circle A is equal in length to a arc of circle B. What is the ratio of circle A's area and circle B's area? Problem 8 Betsy designed a flag using blue triangles, small white squares, and a red center square, as shown. Let be the total area of the blue triangles, the total area of the white squares, and the area of the red square. Which of the following is correct?

AMC 美国数学竞赛 2001 AMC 10 试题及答案解析

USA AMC 10 2001 1 The median of the list is . What is the mean? 2 A number is more than the product of its reciprocal and its additive inverse. In which interval does the number lie? 3 The sum of two numbers is . Suppose 3 is added to each number and then each of the resulting numbers is doubled. What is the sum of the final two numbers? 4 What is the maximum number of possible points of intersection of a circle and a triangle? 5 How many of the twelve pentominoes pictured below have at least one line of symettry?

6 Let and denote the product and the sum, respectively, of the digits of the integer . For example, and . Suppose is a two-digit number such that . What is the units digit of ? 7 When the decimal point of a certain positive decimal number is moved four places to the right, the new number is four times the reciprocal of the original number. What is the original number? 8 Wanda, Darren, Beatrice, and Chi are tutors in the school math lab. Their schedule is as follows: Darren works every third school day, Wanda works every fourth school day, Beatrice works every sixth school day, and Chi works every seventh school day. Today they are all working in the math lab. In how many school days from today will

美国数学竞赛amc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

AMC12美国数学竞赛 2012-2014

AMC12 2014A Problem 1 What is Solution At the theater children get in for half price. The price for adult tickets and child tickets is . How much would adult tickets and child tickets cost? Solution Walking down Jane Street, Ralph passed four houses in a row, each painted a different color. He passed the orange house before the red house, and he passed the blue house before the yellow house. The blue house was not next to the yellow house. How many orderings of the colored houses are possible? Solution Suppose that cows give gallons of milk in days. At this rate, how many gallons of milk will cows give in days? Solution

On an algebra quiz, of the students scored points, scored points, scored points, and the rest scored points. What is the difference between the mean and median score of the students' scores on this quiz? Solution The difference between a two-digit number and the number obtained by reversing its digits is times the sum of the digits of either number. What is the sum of the two digit number and its reverse? Solution The first three terms of a geometric progression are , , and . What is the fourth term? Solution A customer who intends to purchase an appliance has three coupons, only one of which may be used: Coupon 1: off the listed price if the listed price is at least Coupon 2: dollars off the listed price if the listed price is at least Coupon 3: off the amount by which the listed price exceeds For which of the following listed prices will coupon offer a greater price reduction than either coupon or coupon ?

美国数学竞赛AMC12词汇

A abbreviation 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

AMC 美国数学竞赛试题详解英文版

2013 AMC8 Problems 1. Danica wants to arrange her model cars in rows with exactly 6 cars in each row. She now has 23 model cars. What is the smallest number of additional cars she must buy in order to be able to arrange all her cars this way? 2. A sign at the fish market says, "50% off, today only: half-pound packages for just $3 per package." What is the regular price for a full pound of fish, in dollars? What is the value of ? 3. 4. Eight friends ate at a restaurant and agreed to share the bill equally. Because Judi forgot her money, each of her seven friends paid an extra $2.50 to cover her portion of the total bill. What was the total bill? 5. Hammie is in the grade and weighs 106 pounds. His quadruplet sisters are tiny babies and weigh 5, 5, 6, and 8 pounds. Which is greater, the average (mean) weight of these five children or the median weight, and by how many pounds?

AMC美国数学竞赛AMCB试题及答案解析

A M C美国数学竞赛 A M C B试题及答案解析 The latest revision on November 22, 2020

2004 AMC12A(美国数学竞赛)

Alicia earns dollars per hour, of which is deducted to pay local taxes. How many cents per hour of Alicia's wages are used to pay local taxes? Solution On the AMC 12, each correct answer is worth points, each incorrect answer is worth points, and each problem left unanswered is worth points. If Charlyn leaves of the problems unanswered, how many of the remaining problems must she answer correctly in order to score at least ? Solution For how many ordered pairs of positive integers is ? Solution Bertha has daughters and no sons. Some of her daughters have daughters, and the rest have none. Bertha has a total of daughters and granddaughters, and no great-granddaughters. How many of Bertha's daughters and grand-daughters have no children? Solution

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AMC 美国数学竞赛 2001 AMC 10 试题及答案解析

美国数学竞赛amc的常用数学英语单词

AMC12美国数学竞赛 2012-2014

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2004 AMC12A(美国数学竞赛)

AMC 美国数学竞赛试题详解英文版