本文编辑于2019年8月26日
数学词汇-代数部分
此部分词汇为初中阶段所学内容。
| 中文术语或符号 | English |
|---|---|
| 方程 | equation |
| 解方程 | solving equations |
| 代数学 | algebra |
| 代数方程 | algebraic equation |
| 代数表达式 | algebraic expression |
| 变量 | variable |
| 常数 | constant |
| 系数 | coefficient |
| 单项式 | monomial |
| 多项式 | polynomial |
| 代换 | substitution |
| 数列 | sequence |
| 不等式 | inequality |
| 符号化运算 | symbolism |
| 二次方 | quadratics |
| 二次方程 | quadratic equations |
特别注意：有一些学生不熟悉symbolism，实际上它只是一种代换，只要仔细审题，这种题往往更容易得分。
Usually, it is a kind of substitution. Just read the question carefully. only is a kind of operation . x ✩ y = x – 1/y.
基础习题/Basic Exercises
- Factor the expression: ac – 2bc -2bd + ad.
- What is the value of x3 – x2 – 7(x-1) if x = 3?
- If xy + (7+3x)/4 – 2y = 1, what is the value of x in terms of y?
（用y表示x的代数式是什么？） - If ✿（x） = (x2+3)/(x-1) and 3r – 4 = 5, what is the value of ✿（r） ?
- In a certain sequence, if x > 2, then sx = sx-1 + sx-2 +3. If s1 = 0 and s2 = 4, what is value of s4?
Key：1、(a – 2b)(c + d)；2、4；3、x= (8y-3)/(4y+3) ；4、6；5、14
强化训练题/Challenging Exercises
- If @(x) = (x + 3)/(x – 1) and #(y) = y2 – 2y + 3, what is the value of @(#(2))?
此为符号化题/symbolism exercise - In a particular series beginning with s3, the value is a function of the two prior values. Based on the table. What is the value of s9?
| Sequence Number | value |
|---|---|
| S1 | 0 |
| S2 | 1 |
| S3 | 1 |
| S4 | 3 |
| S5 | 5 |
| S6 | 11 |
| S7 | 21 |
| S8 | 43 |
| S9 | ? |
Key：1、3; 2、85
注：本文所选词汇主要参考《GRE Prep - Graduate Record Examination》-Kaplan系列书籍。仅限于个人学习使用，请勿用于任何商业用途。所列答案仅供参考，本网站暂不提供解题过程，如有需要，请与本站联系。