数学专业名词的英文名称总结 数学专用名词的英文名

\u6570\u5b66\u4e13\u4e1a\u672f\u8bed\u7684\u82f1\u6587\u540d

\u4ee3\u6570 ALGEBRA
1. \u6570\u8bba
natural number \u81ea\u7136\u6570 positive number \u6b63\u6570 negative number \u8d1f\u6570 odd integer, odd
number \u5947\u6570 even integer, even number \u5076\u6570 integer, whole number \u6574\u6570 positive
whole number \u6b63\u6574\u6570 negative whole number \u8d1f\u6574\u6570 consecutive number \u8fde\u7eed\u6574\u6570real
number, rational number \u5b9e\u6570,\u6709\u7406\u6570 irrational\uff08number\uff09 \u65e0\u7406\u6570 inverse \u5012\u6570composite
number \u5408\u6570 e.g. 4,6,8,9,10,12,14,15\u2026 prime number \u8d28\u6570 e.g. 2,3,5,7,11,13,15\u2026
reciprocal \u5012\u6570common divisor \u516c\u7ea6\u6570 multiple \u500d\u6570 (minimum) common multiple (\u6700\u5c0f)\u516c\u500d\u6570
(prime) factor (\u8d28)\u56e0\u5b50 common factor \u516c\u56e0\u5b50ordinary scale, decimal
scale \u5341\u8fdb\u5236 nonnegative \u975e\u8d1f\u7684 tens \u5341\u4f4d units \u4e2a\u4f4dmode \u4f17\u6570 mean\u5e73\u5747\u6570 median\u4e2d\u503c common
ratio \u516c\u6bd4

2. \u57fa\u672c\u6570\u5b66\u6982\u5ff5
arithmetic mean \u7b97\u672f\u5e73\u5747\u503c weighted average \u52a0\u6743\u5e73\u5747\u503c geometric mean \u51e0\u4f55\u5e73\u5747\u6570 exponent
\u6307\u6570\uff0c\u5e42 base \u4e58\u5e42\u7684\u5e95\u6570,\u5e95\u8fb9 cube \u7acb\u65b9\u6570\uff0c\u7acb\u65b9\u4f53 square root \u5e73\u65b9\u6839cube root \u7acb\u65b9\u6839 common logarithm
\u5e38\u7528\u5bf9\u6570 digit \u6570\u5b57 constant \u5e38\u6570 variable \u53d8\u91cfinverse function \u53cd\u51fd\u6570 complementary
function \u4f59\u51fd\u6570 linear \u4e00\u6b21\u7684\uff0c\u7ebf\u6027\u7684 factorization \u56e0\u5f0f\u5206\u89e3 absolute value
\u7edd\u5bf9\u503c\uff0ce.g.\uff5c-32\uff5c=32 round off \u56db\u820d\u4e94\u5165\u6570\u5b66

3. \u57fa\u672c\u8fd0\u7b97
add\uff0cplus \u52a0 subtract \u51cf difference \u5dee multiply, times \u4e58 product \u79ef divide
\u9664divisible \u53ef\u88ab\u6574\u9664\u7684 divided evenly \u88ab\u6574\u9664 dividend \u88ab\u9664\u6570\uff0c\u7ea2\u5229 divisor \u56e0\u5b50\uff0c\u9664\u6570\uff0c\u516c\u7ea6\u6570
quotient \u5546 remainder \u4f59\u6570 factorial \u9636\u4e58 power \u4e58\u65b9 radical sign, root sign \u6839\u53f7
round to \u56db\u820d\u4e94\u5165 to the nearest \u56db\u820d\u4e94\u5165

4. \u4ee3\u6570\u5f0f\uff0c\u65b9\u7a0b\uff0c\u4e0d\u7b49\u5f0f
algebraic term \u4ee3\u6570\u9879 like terms, similar terms \u540c\u7c7b\u9879 numerical coefficient
\u6570\u5b57\u7cfb\u6570literal coefficient \u5b57\u6bcd\u7cfb\u6570 inequality \u4e0d\u7b49\u5f0f triangle inequality \u4e09\u89d2\u4e0d\u7b49\u5f0f range \u503c\u57df
original equation \u539f\u65b9\u7a0b equivalent equation \u540c\u89e3\u65b9\u7a0b\uff0c\u7b49\u4ef7\u65b9\u7a0b linear equation \u7ebf\u6027\u65b9\u7a0b(e.g.
5x+6=22)

5. \u5206\u6570\uff0c\u5c0f\u6570
proper fraction \u771f\u5206\u6570 improper fraction \u5047\u5206\u6570 mixed number \u5e26\u5206\u6570 vulgar
fraction\uff0ccommon fraction \u666e\u901a\u5206\u6570 simple fraction \u7b80\u5206\u6570 complex fraction
\u7e41\u5206\u6570numerator \u5206\u5b50 denominator \u5206\u6bcd (least) common denominator \uff08\u6700\u5c0f\uff09\u516c\u5206\u6bcd quarter
\u56db\u5206\u4e4b\u4e00 decimal fraction \u7eaf\u5c0f\u6570 infinite decimal \u65e0\u7a77\u5c0f\u6570 recurring decimal \u5faa\u73af\u5c0f\u6570
tenths unit \u5341\u5206\u4f4d

6. \u96c6\u5408
union \u5e76\u96c6 proper subset \u771f\u5b50\u96c6 solution set \u89e3\u96c6

7. \u6570\u5217
arithmetic progression(sequence) \u7b49\u5dee\u6570\u5217 geometric progression(sequence) \u7b49\u6bd4\u6570\u5217

8. \u5176\u5b83
approximate \u8fd1\u4f3c (anti)clockwise (\u9006) \u987a\u65f6\u9488\u65b9\u5411 cardinal \u57fa\u6570 ordinal \u5e8f\u6570 direct
proportion \u6b63\u6bd4 distinct \u4e0d\u540c\u7684 estimation \u4f30\u8ba1\uff0c\u8fd1\u4f3c parentheses \u62ec\u53f7 proportion \u6bd4\u4f8b
permutation \u6392\u5217 combination \u7ec4\u5408 table \u8868\u683c trigonometric function \u4e09\u89d2\u51fd\u6570 unit \u5355\u4f4d,\u4f4d

\u51e0\u4f55 GEOMETRY
1. \u89d2
alternate angle \u5185\u9519\u89d2 corresponding angle \u540c\u4f4d\u89d2 vertical angle \u5bf9\u9876\u89d2 central angle
\u5706\u5fc3\u89d2 interior angle \u5185\u89d2 exterior angle \u5916\u89d2 supplementary angles \u8865\u89d2complementary
angle \u4f59\u89d2 adjacent angle \u90bb\u89d2 acute angle \u9510\u89d2 obtuse angle \u949d\u89d2right angle \u76f4\u89d2
round angle \u5468\u89d2 straight angle \u5e73\u89d2 included angle \u5939\u89d2

2. \u4e09\u89d2\u5f62
equilateral triangle \u7b49\u8fb9\u4e09\u89d2\u5f62 scalene triangle \u4e0d\u7b49\u8fb9\u4e09\u89d2\u5f62 isosceles triangle \u7b49\u8170\u4e09\u89d2\u5f62
right triangle \u76f4\u89d2\u4e09\u89d2\u5f62 oblique \u659c\u4e09\u89d2\u5f62 inscribed triangle \u5185\u63a5\u4e09\u89d2\u5f62

3. \u6536\u655b\u7684\u5e73\u9762\u56fe\u5f62\uff0c\u9664\u4e09\u89d2\u5f62\u5916
semicircle \u534a\u5706 concentric circles \u540c\u5fc3\u5706 quadrilateral \u56db\u8fb9\u5f62 pentagon \u4e94\u8fb9\u5f62hexagon
\u516d\u8fb9\u5f62 heptagon \u4e03\u8fb9\u5f62 octagon \u516b\u8fb9\u5f62 nonagon \u4e5d\u8fb9\u5f62 decagon \u5341\u8fb9\u5f62 polygon \u591a\u8fb9\u5f62
parallelogram \u5e73\u884c\u56db\u8fb9\u5f62 equilateral \u7b49\u8fb9\u5f62 plane \u5e73\u9762 square \u6b63\u65b9\u5f62\uff0c\u5e73\u65b9 rectangle \u957f\u65b9\u5f62
regular polygon \u6b63\u591a\u8fb9\u5f62 rhombus \u83f1\u5f62 trapezoid \u68af\u5f62

4. \u5176\u5b83\u5e73\u9762\u56fe\u5f62
arc \u5f27 line, straight line \u76f4\u7ebf line segment \u7ebf\u6bb5 parallel lines \u5e73\u884c\u7ebf segment of a
circle \u5f27\u5f62

5. \u7acb\u4f53\u56fe\u5f62
cube \u7acb\u65b9\u4f53\uff0c\u7acb\u65b9\u6570 rectangular solid \u957f\u65b9\u4f53 regular solid/regular polyhedron
\u6b63\u591a\u9762\u4f53circular cylinder \u5706\u67f1\u4f53 cone \u5706\u9525 sphere \u7403\u4f53 solid \u7acb\u4f53\u7684

6. \u56fe\u5f62\u7684\u9644\u5c5e\u6982\u5ff5
plane geometry \u5e73\u9762\u51e0\u4f55 trigonometry \u4e09\u89d2\u5b66 bisect \u5e73\u5206 circumscribe \u5916\u5207 inscribe
\u5185\u5207 intersect \u76f8\u4ea4 perpendicular \u5782\u76f4 Pythagorean theorem \u52fe\u80a1\u5b9a\u7406\uff08\u6bd5\u8fbe\u54e5\u62c9\u65af\u5b9a\u7406\uff09 congruent
\u5168\u7b49\u7684 multilateral \u591a\u8fb9\u7684 altitude \u9ad8 depth \u6df1\u5ea6 side \u8fb9\u957f circumference, perimeter
\u5468\u957f radian \u5f27\u5ea6 surface area \u8868\u9762\u79ef volume \u4f53\u79ef arm \u76f4\u89d2\u4e09\u89d2\u5f62\u7684\u80a1 cross section \u6a2a\u622a\u9762
center of a circle \u5706\u5fc3 chord \u5f26 diameter \u76f4\u5f84radius \u534a\u5f84 angle bisector \u89d2\u5e73\u5206\u7ebf
diagonal \u5bf9\u89d2\u7ebf\u5316 edge \u68f1 face of a solid \u7acb\u4f53\u7684\u9762 hypotenuse \u659c\u8fb9 included side \u5939\u8fb9 leg
\u4e09\u89d2\u5f62\u7684\u76f4\u89d2\u8fb9 median\uff08\u4e09\u89d2\u5f62\u7684\uff09\u4e2d\u7ebf base \u5e95\u8fb9\uff0c\u5e95\u6570\uff08e.g. 2\u76845\u6b21\u65b9\uff0c2\u5c31\u662f\u5e95\u6570\uff09 opposite \u76f4\u89d2\u4e09\u89d2\u5f62\u4e2d\u7684\u5bf9\u8fb9
midpoint \u4e2d\u70b9 endpoint \u7aef\u70b9 vertex (\u590d\u6570\u5f62\u5f0fvertices)\u9876\u70b9 tangent \u5207\u7ebf\u7684transversal \u622a\u7ebf
intercept \u622a\u8ddd

7. \u5750\u6807
coordinate system \u5750\u6807\u7cfb rectangular coordinate \u76f4\u89d2\u5750\u6807\u7cfb origin \u539f\u70b9 abscissa \u6a2a\u5750\u6807
ordinate \u7eb5\u5750\u6807 number line \u6570\u8f74 quadrant \u8c61\u9650 slope \u659c\u7387 complex plane \u590d\u5e73\u9762

\u5475\u5475\u5475\uff0c\u6570\u5b66\u7cfb\u7684?\u4e2a\u4eba\u5efa\u8bae\u5e73\u65f6\u591a\u770b\u770b\u7ecf\u6d4e\u4f1a\u8ba1\u65b9\u9762\u7684\u4e66\u3002\u8003\u7814\u8de8\u4e13\u4e1a\u8003\u4f1a\u8ba1\uff0c\u7537\u751f\u5973\u751f\u90fd\u76f8\u5f53\u8ba9\u8001\u5e08\u559c\u6b22\u7684\uff0c\u524d\u63d0\u662f\u4e13\u4e1a\u8bfe\u53ef\u4ee5\uff0c\u4f60\u7684\u601d\u7ef4\uff0c\u548c\u4e13\u4e1a\u77e5\u8bc6\u5f88\u91cd\u8981\uff0c\u6211\u6709\u8bfb\u8fd9\u4e9b\u7684\u540c\u5b66\uff0c\u5982\u679c\u9700\u8981\u7ec3\u4e60\u53ef\u4ee5\u5e2e\u4f60\u7ec3\u4e60\u4ed6\u4eec

代数 ALGEBRA
1. 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 (minimum) 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 mean平均数 median中值 common
ratio 公比

2. 基本数学概念
arithmetic mean 算术平均值 weighted average 加权平均值 geometric mean 几何平均数 exponent
指数,幂 base 乘幂的底数,底边 cube 立方数,立方体 square root 平方根cube root 立方根 common logarithm
常用对数 digit 数字 constant 常数 variable 变量inverse function 反函数 complementary
function 余函数 linear 一次的,线性的 factorization 因式分解 absolute value
绝对值,e.g.|-32|=32 round off 四舍五入数学

3. 基本运算
add,plus 加 subtract 减 difference 差 multiply, times 乘 product 积 divide
除divisible 可被整除的 divided evenly 被整除 dividend 被除数,红利 divisor 因子,除数,公约数
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

4. 代数式,方程,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)

5. 分数,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

6. 集合
union 并集 proper subset 真子集 solution set 解集

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 GEOMETRY
1. 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. 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. 收敛的平面图形,除三角形外
semicircle 半圆 concentric circles 同心圆 quadrilateral 四边形 pentagon 五边形hexagon
六边形 heptagon 七边形 octagon 八边形 nonagon 九边形 decagon 十边形 polygon 多边形
parallelogram 平行四边形 equilateral 等边形 plane 平面 square 正方形,平方 rectangle 长方形
regular polygon 正多边形 rhombus 菱形 trapezoid 梯形

4. 其它平面图形
arc 弧 line, straight line 直线 line segment 线段 parallel lines 平行线 segment of a
circle 弧形

5. 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. 图形的附属概念
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(毕达哥拉斯定理) congruent
全等的 multilateral 多边的 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 diameter 直径radius 半径 angle bisector 角平分线
diagonal 对角线化 edge 棱 face of a solid 立体的面 hypotenuse 斜边 included side 夹边 leg
三角形的直角边 median(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. 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

高等代数:Advanced Algebra

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