[第二章ALGEBRA代数.docxVIP

第二章 ALGEBRA 代数§2.1 ?自我检测知己知彼方能百战不殆。对于中国学生来讲，ACT数学考试，最大的障碍不是 对知识的理解，而是对自身的理解。不知道自己会多少，ACT数学考什么。在 这种盲目的作用下，ACT数学备考学生往往两级分化，一方面，一些学生一头 扎进题海，做了许多简单题，做了许多无用功，一到考试，该错还是错；另一 方面，大部分学生认为ACT数学如此简单，不必殚精竭虑，考前做一套模考题 然后匆匆上阵，铩羽而归。所以本章将会重点回顾ACT数学最大的考点，代数的内容。这一章是对同学们 从小学到高中基础代数知识的考查，下面就请同学们做一套自测，对比考点， 找到复习重点。为了保证检测效果，自测题全为填空题。What is the least common multiple of 30, 20, 70?Both m and n are positive integers greater than 1, if 23(m-1)=17(n+3), what is the least possible value of m+n?How many prime numbers are between 40 and 50?What is the tenths digit of 190% ?Solving the equation - 3 = 1, x=?How many integers between 1 and 1000, inclusive, will be the square of an integer and also be the cube of an integer? is a real number, what is the interval of x?Solving the equation lg(x-2) + lg(x+1) = 1, then x=?What is the coefficient of x7 in the product of the polynomials(—x4 + x3 — 5x +1)(2 + 3x3 + — 4) ?What is the least integer value of x that makes the inequality ?Let a,b,c and d be distinct positive integers. What is the 4th term of the geometric sequence below?bcd, abc2d, a2bc3d,…12. What is the result of the determinant ?13. If f(a,b)=a*b is defined as a * b = - , where both a and b are real numbers.what is the range of f(a,b)?14. If 0x90°, and tanx= ,what is sinx+cosx?15. Tracy purchased 6 boxes of sugar cookies, each box containing 12 snack bags and each bag containing 8 cookies. Tracy could have purchased the same amount of cookies by buying how many family-sized packs of 16 cookies each?自测答案：420 考点：§2.2.1Real numbers 实数的分类 integers 整数38 考点：§2.2.1Real numbers 实数的分类 Factors Multiples因数和倍数3 考点：§2.2.1Real numbers 实数的分类 Prime Numbers 质数9 考点：§2.2.1Real numbers 实数的分类 Decimals 小数0.5 考点：§2.2.1Real numbers 实数的分类 fractions 分数3 考点：§2.2.2. Exponent and roots 指数和根-2 2 考点：§2.2.2. Exponent and roots 指数和根8. 4考点：§2.2.3. Logarithms 对数-1考点：§2.2.4. Polynomials 多项式10 考点：§2.2.5. Inequalities 不等式a3bc4d 考点：§2.2.6 Sequence数列-3 考点：§2.2.7 matrices 矩阵All real numbers 考点：§2.2.8 function 函数 考点： §2.2.9 t