2019-2020年八年级上册数学《10.3+分式的乘除法2》习题

2019-2020年八年级上册数学《10.3+分式的乘除法2》习题

一、基础过关 1. 约分:

m2?2m?1a3?1b3n?1a2a? ;? ;2n?1?3n?2? (n为正整数) 221?m1?a?aab2. 计算:

4(?ab22(2c)?2c)2? ;(?a2b)2?(?ba)?(1ab)4? ;

(?xy)2?(?y22y2112x11x2)?(?xy)? ;(?2x)?(y2)? ; (3c23bc62x2?2xy?y24ab3)?(2a2)? ;(xy?x)?xy?x2?yx2? 。3. 已知x:y?3,则分式(x?y)2x2?y2的值是( )

A.

34 B. 2726 C. 12 D. 1413 a6xyx2?y2y?xx3?y34. 在分式3x,2x?2y,x2?y2,(x?y)2,x2?y2中,最简分式有(A. 1个 B. 2个 C. 3个 D. 4个 5. 下列各式正确的是( )

A. x2?y2x?yx2?2x?1x2?y2?x?y B. 2x?x2?1??(x?12x?1) C. ab?a?b2b D. (ca?b)2?c2a2?b2 二、综合训练 6. 8x2?(?3x4y3)?(?6zx2y)

3x23b?a2233)?(a?b)?() 7. (a?bb?a

y2?(a?b)y?aba2?x28. 2 ?22x?(a?b)x?abb?y

x2?6x?9x2?9x?3?2?9. 2

x?x?6x?3x?102(x?5)

2x?6x2?x?6?(x?3)?10.

3?x4?4x?x2

三、拓展应用

4a2b?4ab2?b3b11?11. (8a?2b)?,其中, a??b?2b2?5ab?3a2b2?5ab?6a22422

参考答案

一、基础过关 1.

m?1b;a?1; 1?ma242x2y?y227a912. 4abc;?;?1;15;

y?xbab43. C 4. B 5. B

二、综合训练 6. 解:原式?8x?23x6z36xz?? 4y3x2yy427x9(a?b)227(a?b)(a2?ab?b2)x9227. 解:原式? ?(a?b)(a?ab?b)??32222(a?b)(b?a)(a?b)(b?a)8. 解:原式?(y?a)(y?b)(a?x)(a?x)(y?a)(x?a)(y?a)(x?a)???

(x?a)(x?b)(b?y)(b?y)(x?b)(b?y)(x?b)(y?b)(x?3)2(x?5)(x?2)x?31??9. 解:原式??

(x?3)(x?2)(x?3)(x?3)2(x?5)210. 解:原式?2(x?3)1(x?3)(x?2)2??? 23?xx?2(x?2)x?3三、拓展应用

11. 解:原式?2(2a?b)(2a?b)?(2b?a)(b?2a)b? 2(b?2a)(b?3a)b(2a?b) ??2(a?2b)2a?4b ??2a?b2a?b112x(?)?4?1124?0 当a??,b?时,原式??11242?(?)?24∴ 代数式的值为0

联系客服:779662525#qq.com(#替换为@) 苏ICP备20003344号-4