Mathematics for GRE【荐】.ppt

Mathematics for GRE By John Pan General Introduction 数学考察要点： 1）basic mathematical skill 2）understanding? of? elementary?math concept 3) ability? to?? reason?? quantitatively and solve problems? in? quantitative setting 难题主要集中在标准方差、概率以及排列组合 数学运算 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 quotient商remainder余数 factorial阶乘power乘方 Radical sign, root sign根号 To the nearest四舍五入round to四舍五入 集合 union并集 proper subset真子集 solution set解集 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 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 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， 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 prime number质数 reciprocal倒数 common divisor公约数multiple倍数 (least) common multiple(最小)公倍数(prime) factor(质)因子 common factor公因子　ordinary scale, decimal scale十进制 nonnegative非负的tens十位 units个位mode众数median中数common ratio公比 数列及其它 arithmetic progression (sequence)等差数列 geometric progression