1. Glossary 术语
2. algebra, theorem 代数 ,定理
3. perpendicular bisector 垂直平分线
4. Radius 半径
5. Parallelogram 平行四边形
6. isosceles triangle 等腰三角形
7. rational \ imaginary numbers 有理数\虚数
8. Associative \ commutative \ distributive property 结合律\交换律\分配率
9. Ordinal numbers 序数
10. cardinal numbers 基数
11. complementary angle 余角
12. concentric circles 同心圆
13. angle bisector 角平分线
14. Binomial 二项式
15. Triangle 三角形
16. Factor \ fraction 因数,因子\分数
17. Polygon \polyhedron 多边形\多面体
18. prime number 素数
19. Odd and Even Numbers 奇数和偶数
20. Finite and Infinite Sets 有限集和无限集
21. Additive Identity Property 加法单位元
22. Commutative Law of Addition 加法交换律
23. Associative Law of Addition 加法结合律
24. Parentheses 括号
25. Addition Sum 加法 和
26. Subtraction Difference 减法 差
27. Multiplication Product 乘法 积
28. Division Quotient Remainder 除法 商 余数
29. The Greatest Common Divisor 最大公约数
30. The Least Common Multiple 最小公倍数
31. expansion 展开,展开式
32. shuffle 洗纸牌
33. arithmetic 算术
34. arithmetic operation 算术运算
35. arithmetic operator 算术运算符
36. fraction 分数,分式
37. algebra 代数
38. algebraic 代数的
39. algebraic expression 代数式
40. coefficient 系数
41. exponent 指数
42. term 项
43. middle term 中间项
44. like terms 同类项
45. variable 变量
46. perfect square 完全平方
47. structure 构造,结构
48. reflexive Property 反射性
49. symmetric Property 对称性
50. transitive Property 传递性
51. commutative law 交换律
52. associative law 结合律
53. distributive laws 分配律
54. add(v) /plus(prep) 加
55. addition/additive加法
56. summand 被加数
57. addend 加数
58. sum 和
59. subtract(v) /minus(prep)减
60. subtraction减法
61. minuend 被减数
62. subtrahend 减数
63. difference 差
64. multiply乘
65. multiplication/multiplicative乘法
66. multiplicand被乘数
67. multiplier乘数
68. product积
69. divide 除
70. division 除法
71. dividend 被除数
72. divisor 除数
73. quotient 商
74. positive number 正数
75. negative number 负数
76. opposite numbers 相反数
77. reciprocal 倒数
78. factor out 提取公因式
79. opposite sign 符号相反
80. monomial 单项的,单项式
81. binomial 二项的,二项式
82. trinomial三项的,三项式
83. polynomial 多项的,多项式
84. dimension 尺度, 维(数),
85. rectangle 长方形,矩形
86. area 面积
87. Factorization 因式分解
88. irreducible polynomial 不可约多项式
89. fundamental theorem of algebra 代数基本定理
90. expansion 展式
91. leading coefficient 首项系数
92. trinomial 三项式
93. binomial 二项式
94. Rewrite a trinomial to a product of two binomials
95. 将三项式改写为两个二项式的乘积
96. algebraic 代数的,关于代数的
97. exponent 指数,幂
98. involution and Evolution 乘方与开方
99. square , a square with side a, a-square二次方,平方
100. cube三次方,立方
101. a (raised) to the power of n, a to the nth (power) a 的n次方
102. square root二次方根,平方根
103. cube root三次方根,立方根
104. the nth root of a the radical sign a的n次方根
105. 被开方数radicand
106. 2^-10 2 to the minus tenth
107. perfect square trinomials 完全平方式
108. sum/difference of two squares 平方和/差公式
109. sum/difference of two cubes 立方和/差公式
110. rational numbers 有理数
111. Let a and b represent ……such that……
112. Substitute the value for …into the equation to get corresponding value for…
把……的值代入方程,计算出相应的……的值
113. curved lines 曲线
114. ellipse 椭圆
115. partition 分割,分开
116. Arithmetic 算术,计算
117. Four arithmetic operation 四则运算
118. cancellation (相)约,(相)消
119. fraction 分数
120. divide a by b a除以b
121. hundreds digit 百位数
122. tens digit 十位数
123. units digit 个位数
124. reverse the digits 颠倒数字顺序
125. Number Patterns 数型,数据模式
126. Pattern Recognition 模式识别
127. Sequence 数列
128. predecessor term前面的项
129. triangular number 三角形数
130. figurate number 形数
131. subsequent 随后的
132. legitimate 合理的
133. general term 通项
134. Pascal triangle 帕斯卡三角形
135. horizontal sum 横向之和
136. Arithmetic Progression (A.P.) 等差数列
137. the first term 首项
138. nth term 通项
139. common difference 公差
140. Sn sum of the first n terms 前n项和
141. G.P. 等比数列
142. H.P. 调和数列
143. Arithmetic mean 算术平均数
144. Geometric mean几何平均数
145. Harmonic mean-调和平均数
146. Trimmed Mean切尾均值
147. root mean square平方平均
148. An arithmetic progression is a sequence in which each term (except the first term) is obtained from the previous term by adding a constant known as the common difference。
149. 等差数列除首项外每一项与前项的差为一个常数,这个常数称为数列的公差。
150. G.P. is a sequence in which each term (except the first term) is derived from the preceding term by the multiplication of a non-zero constant, which is the common ratio.
等比数列除首项外每一项与前项的比为一个非零的常数,这个常数称为等比数列的公比。
151. H.P. is a sequence of quantities whose reciprocals form an arithmetic progression, such as 1, 1/3, 1/5, 1/7, ....
152. 调和数列是这样的数列,它的每一项都是一个等差数列各项的倒数,例如 1, 1/3, 1/5, 1/7, ....
153. Series 级数
154. run from 1 to n 从1到n
155. Prime 一撇
156. double prime 二撇
157. the absolute value of a a的绝对值
158. infinity 无穷大
159. a sequence of terms 一列的项
160. finite 有限
161. infinite 无限
162. converge 收敛
163. diverge 分散
164. geometric series 几何级数
165. harmonic series 调和级数
166. arithmetic series 算术级数
167. binomial theorem 二项式定理
168. substitute into equation 代入方程
169. induction 归纳
170. subdivide 细分
171. rational 合理的
172. exponents 指数
173. the reciprocal of 倒数
174. divisor 除数
175. Set 集合
176. Subset 子集
177. Proper subset 真子集
178. Intersection 交(集)
179. Union 并(集)
180. The complement of A A的补集
181. One-to-one correspondence 一一对应
182. Cardinality 集的势;基数
183. Infinite 无限
184. Domain 定义域
185. Range 值域
186. One(many)-to-one function 一(多)对一函数
187. Multivalued function 多值函数
188. Onto function 满射
189. Algorithm 算法
190. Visualize 使…形象化
191. Composite function 复合函数
192. Identity 单位元
193. Inverses 逆元
194. Inverse function 反函数
195. Horizontal-line test 水平线法则
196. Perimeter 周长
197. Quadratic equations 二次方程
198. Quadratic formula 二次根公式
199. Discriminant 判别式
200. Conic Sections 圆锥曲线
201. Ellipse 椭圆
202. Parabola 抛物线
203. Hyperbola 双曲线
204. Cone 圆锥体
205. A parabola is the locus of points equidistant (距离相等的)from a fixed line and a fixed point (not on that line)
206. A parabola is a conic with eccentricity (离心率)be equal to 1
207. An ellipse is a curve that is the locus of all points in the plane the sum of whose distances r1 and r2 from two fixed points F1 and F2 (the foci) separated by a distance of 2c is a given positive constant 2a.
208. Directrix 准线
209. vertex:顶点
210. Paraboloid 抛物面
211. Symmetry 对称轴
212. concentric circles 同心圆
213. Tangent 切线
214. be the perpendicular bisector of ….是…的垂直平分线
215. be the angle bisector of ….是…的角平分线
216. line segment 线段
217. a pair of compasses 一副圆规
218. collinear 共线的
219. be parallel to 和……平行
220. concurrent 公共点
221. locus 轨迹
222. asymptote 渐近线
223. transverse axis 实轴
224. conjugate axis 虚轴
225. Combinations 组合
226. Purchase 购买
227. Coefficient 系数
228. Since 因为
229. Fractional 小数的
230. Pythagorean 毕达哥拉斯的
231. Primitive 素数的
232. Odd 奇, even 偶
233. Divisible 可除尽的
234. Product 乘积
235. Square 平方
236. compound interest 复利
237. Instantaneously 即刻的
238. matrix of coefficients 系数矩阵
239. quadratic equations 二次方程
240. Substitute 代入
241. Corresponding 对应的
242. reverse the inequality sign 使不等式反向
243. Add...to... 把...加到
244. Subtract ... from ... 从...减去
245. Divide ... by... 除以
246. Multiply ... by... 乘以
247. simultaneous inequalities 不等式组 ;
248. intersection 相交 ;
249. solution set 解集
250. scalene triangle 不等边三角形 ;
251. isosceles triangle 等腰三角形;
252. equilateral triangle 等边三角形;
253. right triangle 直角三角形 ;
254. right isosceles triangle直角等腰三角形
255. 30-60-90 degree triangle the longest side is twice as long as the shortest side
256. Leg 直角边;
257. hypotenuse 斜边 ;
258. vertex 顶点;
259. opposite side 对边;
260. is parallel to 平行于 ;
261. a straight angle 平角;
262. bisect 平分;
263. interior angle 内角
264. quadrilateral 四边形;
265. exterior angle 外角
266. hexagon 六边形
267. Triangle inequality: the sum of the lengths of any two sides of a triangle must be greater than the length of the third side AC+CB>AB 两边之和大于第三边
268. inscribed circle 内切圆 ;
269. circumcentre 外心;外接圆心 ;
270. circumference 圆周
271. circumcircle, circumscribed circle 外接圆 ;
272. lengthen 加长 ;
273. obtuse angle 钝角
274. acute angle 锐角 ;
275. horizontal 水平的 ;
276. curvature 曲率 ;
277. sector 扇形
278. perpendicular 垂直 ;
279. point of intersection 交点 ;
280. perpendicular bisector of AB 垂直平分线 ;
281. In a triangle the greater side is opposite the greater angle . 三角形中大角对大边
282. A point on the perpendicular bisector of a line segment is equidistant from the endpoints of the line segment. 线段垂直平分线上的点到线段两端点的距离相等。
283. quadrilateral 四边形
284. parallelogram 平行四边形
285. rectangular 矩形
286. square 正方形
287. rhombus 菱形
288. diagonals 对角线
289. trapezoid 梯形
290. isosceles trapezoid 等腰梯形
291. nonparallel sides 不平行的边 (legs 腰)
292. Right-angled trapezoid 直角梯形
293. adjacent sides 邻边
294. kite 筝形
295. equilateral and equiangular 等边和等角
296. Parallelepiped 平行六面体
297. midline of a triangle 三角形的中线
298. midpoint 中点
299. vertex 顶点
300. The median line of the triangle 三角形的中位线
301. Invariants 不变量
302. Line segment 线段
303. the segment that joins point A and B 连接AB的线段
304. bases 梯形中指上下底
305. Pythagorean Theorem 毕达哥拉斯定理
306. Hypotenuse 斜边
307. altitude 高
308. Congruent Triangles 全等三角形
309. the ratio of similitude (the ratio of any two corresponding linear parts) 相似比
310. The fundamental terms 基本术语
311. curved surface 曲面
312. Spatial figures 空间图形
313. Bisect 二等分
314. Solid 立体
315. acute angle 锐角
316. obtuse angle 钝角
317. straight angle 平角
318. reflex angle 优角 whose measure is more than 180° and less than 360°
319. revolution angle 周角
320. A tangent is always perpendicular to the radius drawn to the point of contact.
321. The measure of a central angle equals the measure of its intercepted arc in a unit circle.
322. The inscribed angles on the same side of the chord are all equal degree measurement and radian measurement.
323. The inscribed angle opposite the diameter is.
324. The center angle is twice as the inscribed angle opposite the same arc.
325. The measure of the inscribed angle is half of measure of its intercepted arc.
326. In a cyclic quadrilateral, opposite angles are supplementary. Equivalently, each exterior angle is equal to the opposite interior angle.
327. (Ptolemy's Theorem) The product of the lengths of the two diagonals of a cyclic quadrilateral is equal to the sum of the products of opposite sides.
328. In any convex quadrilateral, the two diagonals together partition the quadrilateral into four triangles; in a cyclic quadrilateral, opposite pairs of these four triangles are similar to each other.
329. (Brahmagupta's Formula) The area of a cyclic quadrilateral is determined as long as the sides are given as following. s is the semi perimeter.
330. The area of a cyclic quadrilateral is the maximum possible area for any quadrilateral with the given side lengths.
331. (Theorem of Diameter and Chord) If the diameter is perpendicular to a chord, it will cut the chord in half.
346. Concurrency 同时发生
347. Frequencies 频数,次数
348. Slope 斜率
349. Steepness 倾斜度
350. Cartesian coordinate system 笛卡尔坐标系
351. Slope-intercept form 斜截式
352. centroid 重心
353. perpendicular bisectors 垂直平分线
354. crease 折痕
355. scalene triangle不等边三角形
356. trisect 把三等分
357. Regular heptagon 正七边形
358. Regular hexagon 正六边形
359. Regular octagon 正八变形
360. Morley’s theorem 莫雷定理
361. equilateral triangle 等边三角形
362. pentagon 五边形
363. pentagram五角星形
364. convex 凸面的
365. isosceles 二等边的
366. golden ratio 黄金比例
367. Polyhedro 多面体; 多角体
368. Sphere球体
369. Compasses 圆规
370. Segment (线) 段;弓形。
371. intersects和…相交,横断,横切
372. radius 半径
373. inscribed 内接的
374. Fermat primes 费马素数
375. Successive 连续的
376. odd-ordered 奇数阶
377. column 列
378. diagonally up and right 沿对角向右上方
379. vertically down 垂直下方
380. odd 奇数
381. even 偶数
382. Trigonometry 三角学
383. Derivation 来历,导数
384. Circumcircle 外接圆
385. Diameter 直径
386. The inscribed angles on the same side of the chord are all equal
弦同侧所对的圆周角都相等
387. Cyclic Quadrilateral 圆内接四边形
388. Supplementary 互补的
389. Be congruent to (角,弦)相等
390. Ptolemy's Theorem 托勒密定理
391. Diagonal 对角线
392. trigonometric identity 三角恒等式
393. angle-trisection question 三等分角问题
394. Probability & Statistics 概率与统计
395. domino 多米诺骨牌,(复数+es)
396. at random / v. +randomly 随机地
397. With/without replacement 有/无放回地
398. Permutation 排列 combination 组合
399. sample space 样本空间 complete set 完全集
400. chip 圆形筹码 trial 试验
401. cumulative percent累积百分比
402. relative frequency相对频数,频率
403. identical 完全相同的
404. conditional probability 条件概率
405. Bertrand paradox 伯特兰悖论
406. Inconsistent 不一致的,前后矛盾的
407. Complementary probability 互补概率,余概率
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