Microsoft Word - 【陈琦团队】GRE数学-常用词汇和公式.docx

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璎叔韦
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1 附录一数学词汇一数学符号等于 : = 不等 : > < 加 : + 减 : 乘 : 除 : 绝对值 : 平方 : x 2 立方 : x 3 开平方 : 开立方 : 平行 : 垂直 : equal to, the same as, is more than less than no less than no more than add a to b, plus, minus, less, difference, subtract a from b multiply, product a divided by b, absolute value square cube square root cube root parallel to perpendicular to 二. Arithmetic ( 算数 ) 与 Algebra ( 代数 ) 1. 数列和集合 arithmetic sequence geometric sequence set subse sequence term inclusive exclusive 2. 数 common division common factor composite number consecutive integer digit divided divide divisor divisible by even number 公约数等差数列等比数集合子集序列序列中的项包含序列的首末项不包含序列的首末项公因子合数连续整数位被除数除以除数, 因子可整除的偶数

2 factor integer irrational least common multiple multiple natural number negative number nonzero odd number positive number prime factor prime number quotient rational real number remainder tens digit tenths digit units digit 3. 单利复利和价格 compound interest cost discount down payment interest rate list price margin markup profit purchasing price retail value sale price simple interest 4. 其它代数 addition arithmetic mean average base closest approximation decimal decimal notation decimal point 因子整数无理数最小公倍数倍数, 公倍数自然数负数非零奇数正数质因子质数商有理数实数余数十位数十分位个位数复利成本折扣预付款, 现付款利率标价利润涨价利润购买价零售价销售价单利加算术平均数平均数底数近似小数十进制小数点

3 decreased decrease to decrease by define denominator denote depreciation directly proportional to distinct expression factorial fraction increased increase to increase by in terms of inversely proportional to maximum minimum multiple multiply numerator per capita ratio reciprocal reduced rounded to the nearest successive, in a row tie times two digits twice as many a as b a is 20% more than b 三 Geometry( 几何 ) acute angle altitude arc area angle bisector bisect center chord circle 下降后的从下降到下降了定义分母表示, 代表折旧正比于不同的表达式阶乘分数增加后的从增加到增加了用表达反比于最大值最小值倍数乘分子人均比率倒数降低后的四舍五入到连续的平局几倍两位数字 a 是 b 的两倍 a 比 b 多 20%,(a-b)/b=20% 锐角高弧面积角平分线平分中心, 圆心弦圆

4 circumference circumscribe clockwise concentric circle cone congruent coordinate counterclockwise cube cylinder decagon degree diameter diagonal dimension distance due north equilateral triangle face height hexagon hypotenuse isosceles triangle inscribe intersect length mid-point number lines obtuse angle octagon overlap parallelogram pentagon perimeter parallel lines perpendicular lines plane polygon quadrant quadrilateral radius radian regular polygon rectangular solid 圆周长外接, 外切顺时针同心圆圆锥全等的坐标逆时针正方体圆柱十边形角度直径对角线大小, 维度距离正北方等边三角形面高六边形斜边等腰三角形内接, 内切相交长度中点数轴钝角八边形交叠平行四边形五边形周长平行线垂直线平面多边形象限四边形半径弧度 ( 弧长 / 半径 ) 正多边形长方体

5 rectangle right angle right triangle rhombus square sphere side surface area straight angle segment tangent trapezoid triangle vertical angle volume width 长方形直角直角三角形菱形正方形球边表面积平角线段相切梯形三角形对顶角体积宽四 Data Analysis( 数据分析 ) 1. 图表 frequency / count relative frequency bar graph segmented bar graph sector histogram univariate trend bivariate 2. 数据 combination permutation probability, possibility central tendency arithmetic mean/mean median mode weighted mean statistics quartile percentile interquartile range outlier 频率相对频率条形图分段的条形图扇区直方图, 柱状图单变量的趋势, 走向双变量的组合排列概率集中趋势算术平均值中位数众数加权平均数统计四分位数百分位数四分位差异常值

6 dispersion boxplots standard deviation sample standard deviation intersection disjoint/ mutually exclusive inclusion-exclusion principle probability experiment random experiment outcome sample space event equally likely random selection mutually exclusive independent factorial combination distribution curve density curve frequency curve random variable probability distribution expected value/mean of random variable x discrete random variables approximately normally distributed continuous probability distribution standard deviation & mean continuous random variable standard normal distribution 离差箱线图标准偏差样本标准偏差交集互斥容斥原理概率试验随机试验结果样本空间事件等可能随机抽样互相排斥的相互独立的阶乘组合分布曲线密度曲线频率曲线随机变量概率分布期望离散型随机变量近似正态分布连续概率分布标准偏差和平均值连续随机变量标准正态分布

7 附录二 GRE 数学常用公式 1. Permutation: 2. Combination: m n! P = n n( n 1)( n 2)...( n m 1) ( n m)! = + C m n n! n( n 1)( n 2)...( n m+ 1) = = m!( n m)! m 3. Discount = Cost rateof Discount 4. The number of positive factors of Z = x a y b z c (, x y, zis primenumber), n= ( a+ 1)( b+ 1)( c+ 1) 5. Quadratic formula 1 ( 2 4 ) x= b± b ac 2a 6. Arithmetic progression 7. Geometric progression na ( 1 + an ) nn ( 1) an = a1+ ( n 1) d, Sn = = na1+ d 2 2 n ( n 1) a1 (1 q ) an = aq 1, Sn = 1 q 8. Distance between points (x,y) and (a,b) is ( x a) + ( y b) Area of triangle = 2 bh Special formula of area of triangle = as ( a)( s b)( s c), s= ( a+ b+ c) Area of rectangular = lw 12. Area of parallelogram = bh Product of two diagonals 13. Area of a rhombus = 2 ( b1+ b2) 14. Area of a trapezoid = h Volume of cubic solid = 3 a 16. Volume of rectangular solid = l w h Volume of right circular cylinder = π r h

8 Volume of right circular cone = 3 π r h Volume of ball = 3 π r 3

Microsoft Word - 数学软文+数学词汇+数学班广告+水印.docx

Microsoft Word - 数学软文+数学词汇+数学班广告+水印.docx GRE by ( GRE ) GRE ETS ETS ETS GRE OG ETS 200 5 GRE GRE GRE Equilateral triangle Isosceles triangle Equilateral Isosceles GRE GRE 162 163 100 = > < + x 2 x 3 equal to, the same as, is more than less than