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:
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rea lnumber,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
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rhombus菱形trapezoid梯形
4.其它平面图形
arc弧line,straight line直线line segment线段parallel lines平行线segment of a circle弧形
5.有关立体图形
cube立方体,立方数rectangular solid长方体regular solid/regular polyhedron正多面体circular cylinder圆柱体cone圆锥sphere球体solid立体的
6.有关图形上的附属物
altitude高depth深度side边长circumference,perimeter周长radian弧度surface area 表面积volume体积arm直角三角形的股cros ssection横截面center of acircle圆心chord弦radius半径angle bisector角平分线diagonal对角线diameter直径edge棱face of a solid立体的面hypotenuse斜边included side夹边leg三角形的直角边medianofatriangle三角形的中线base底边,底数(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numberline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