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【329310】《分式的乘法与除法》综合练习2

时间:2025-01-21 12:54:52 作者: 字数:1543字
简介:

3.3 分式的乘法与除法

题型1:分式的乘除混合运算

1.(技能题)计算: <a href="/tags/48/" title="练习" class="c1" target="_blank">练习</a> <a href="/tags/194/" title="除法" class="c1" target="_blank">除法</a> <a href="/tags/195/" title="乘法" class="c1" target="_blank">乘法</a> <a href="/tags/279/" title="综合" class="c1" target="_blank">综合</a> <a href="/tags/846/" title="分式" class="c1" target="_blank">分式</a>



2.(技能题)计算: <a href="/tags/48/" title="练习" class="c1" target="_blank">练习</a> <a href="/tags/194/" title="除法" class="c1" target="_blank">除法</a> <a href="/tags/195/" title="乘法" class="c1" target="_blank">乘法</a> <a href="/tags/279/" title="综合" class="c1" target="_blank">综合</a> <a href="/tags/846/" title="分式" class="c1" target="_blank">分式</a>



题型2:分式的乘方运算

3.(技能题)计算: <a href="/tags/48/" title="练习" class="c1" target="_blank">练习</a> <a href="/tags/194/" title="除法" class="c1" target="_blank">除法</a> <a href="/tags/195/" title="乘法" class="c1" target="_blank">乘法</a> <a href="/tags/279/" title="综合" class="c1" target="_blank">综合</a> <a href="/tags/846/" title="分式" class="c1" target="_blank">分式</a>

4.(辨析题) <a href="/tags/48/" title="练习" class="c1" target="_blank">练习</a> <a href="/tags/194/" title="除法" class="c1" target="_blank">除法</a> <a href="/tags/195/" title="乘法" class="c1" target="_blank">乘法</a> <a href="/tags/279/" title="综合" class="c1" target="_blank">综合</a> <a href="/tags/846/" title="分式" class="c1" target="_blank">分式</a> 的值是( )

A <a href="/tags/48/" title="练习" class="c1" target="_blank">练习</a> <a href="/tags/194/" title="除法" class="c1" target="_blank">除法</a> <a href="/tags/195/" title="乘法" class="c1" target="_blank">乘法</a> <a href="/tags/279/" title="综合" class="c1" target="_blank">综合</a> <a href="/tags/846/" title="分式" class="c1" target="_blank">分式</a> B <a href="/tags/48/" title="练习" class="c1" target="_blank">练习</a> <a href="/tags/194/" title="除法" class="c1" target="_blank">除法</a> <a href="/tags/195/" title="乘法" class="c1" target="_blank">乘法</a> <a href="/tags/279/" title="综合" class="c1" target="_blank">综合</a> <a href="/tags/846/" title="分式" class="c1" target="_blank">分式</a> C <a href="/tags/48/" title="练习" class="c1" target="_blank">练习</a> <a href="/tags/194/" title="除法" class="c1" target="_blank">除法</a> <a href="/tags/195/" title="乘法" class="c1" target="_blank">乘法</a> <a href="/tags/279/" title="综合" class="c1" target="_blank">综合</a> <a href="/tags/846/" title="分式" class="c1" target="_blank">分式</a> D <a href="/tags/48/" title="练习" class="c1" target="_blank">练习</a> <a href="/tags/194/" title="除法" class="c1" target="_blank">除法</a> <a href="/tags/195/" title="乘法" class="c1" target="_blank">乘法</a> <a href="/tags/279/" title="综合" class="c1" target="_blank">综合</a> <a href="/tags/846/" title="分式" class="c1" target="_blank">分式</a>

题型3:分式的乘方、乘除混合运算

5.(技能题)计算: <a href="/tags/48/" title="练习" class="c1" target="_blank">练习</a> <a href="/tags/194/" title="除法" class="c1" target="_blank">除法</a> <a href="/tags/195/" title="乘法" class="c1" target="_blank">乘法</a> <a href="/tags/279/" title="综合" class="c1" target="_blank">综合</a> <a href="/tags/846/" title="分式" class="c1" target="_blank">分式</a>



6.(辨析题)计算 <a href="/tags/48/" title="练习" class="c1" target="_blank">练习</a> <a href="/tags/194/" title="除法" class="c1" target="_blank">除法</a> <a href="/tags/195/" title="乘法" class="c1" target="_blank">乘法</a> <a href="/tags/279/" title="综合" class="c1" target="_blank">综合</a> <a href="/tags/846/" title="分式" class="c1" target="_blank">分式</a> 得( )

A <a href="/tags/48/" title="练习" class="c1" target="_blank">练习</a> <a href="/tags/194/" title="除法" class="c1" target="_blank">除法</a> <a href="/tags/195/" title="乘法" class="c1" target="_blank">乘法</a> <a href="/tags/279/" title="综合" class="c1" target="_blank">综合</a> <a href="/tags/846/" title="分式" class="c1" target="_blank">分式</a> B <a href="/tags/48/" title="练习" class="c1" target="_blank">练习</a> <a href="/tags/194/" title="除法" class="c1" target="_blank">除法</a> <a href="/tags/195/" title="乘法" class="c1" target="_blank">乘法</a> <a href="/tags/279/" title="综合" class="c1" target="_blank">综合</a> <a href="/tags/846/" title="分式" class="c1" target="_blank">分式</a> C <a href="/tags/48/" title="练习" class="c1" target="_blank">练习</a> <a href="/tags/194/" title="除法" class="c1" target="_blank">除法</a> <a href="/tags/195/" title="乘法" class="c1" target="_blank">乘法</a> <a href="/tags/279/" title="综合" class="c1" target="_blank">综合</a> <a href="/tags/846/" title="分式" class="c1" target="_blank">分式</a> D <a href="/tags/48/" title="练习" class="c1" target="_blank">练习</a> <a href="/tags/194/" title="除法" class="c1" target="_blank">除法</a> <a href="/tags/195/" title="乘法" class="c1" target="_blank">乘法</a> <a href="/tags/279/" title="综合" class="c1" target="_blank">综合</a> <a href="/tags/846/" title="分式" class="c1" target="_blank">分式</a>

课后系统练

基础能力题

7.计算 <a href="/tags/48/" title="练习" class="c1" target="_blank">练习</a> <a href="/tags/194/" title="除法" class="c1" target="_blank">除法</a> <a href="/tags/195/" title="乘法" class="c1" target="_blank">乘法</a> <a href="/tags/279/" title="综合" class="c1" target="_blank">综合</a> <a href="/tags/846/" title="分式" class="c1" target="_blank">分式</a> 的结果是( )

A <a href="/tags/48/" title="练习" class="c1" target="_blank">练习</a> <a href="/tags/194/" title="除法" class="c1" target="_blank">除法</a> <a href="/tags/195/" title="乘法" class="c1" target="_blank">乘法</a> <a href="/tags/279/" title="综合" class="c1" target="_blank">综合</a> <a href="/tags/846/" title="分式" class="c1" target="_blank">分式</a> B <a href="/tags/48/" title="练习" class="c1" target="_blank">练习</a> <a href="/tags/194/" title="除法" class="c1" target="_blank">除法</a> <a href="/tags/195/" title="乘法" class="c1" target="_blank">乘法</a> <a href="/tags/279/" title="综合" class="c1" target="_blank">综合</a> <a href="/tags/846/" title="分式" class="c1" target="_blank">分式</a> C <a href="/tags/48/" title="练习" class="c1" target="_blank">练习</a> <a href="/tags/194/" title="除法" class="c1" target="_blank">除法</a> <a href="/tags/195/" title="乘法" class="c1" target="_blank">乘法</a> <a href="/tags/279/" title="综合" class="c1" target="_blank">综合</a> <a href="/tags/846/" title="分式" class="c1" target="_blank">分式</a> D <a href="/tags/48/" title="练习" class="c1" target="_blank">练习</a> <a href="/tags/194/" title="除法" class="c1" target="_blank">除法</a> <a href="/tags/195/" title="乘法" class="c1" target="_blank">乘法</a> <a href="/tags/279/" title="综合" class="c1" target="_blank">综合</a> <a href="/tags/846/" title="分式" class="c1" target="_blank">分式</a>

8 <a href="/tags/48/" title="练习" class="c1" target="_blank">练习</a> <a href="/tags/194/" title="除法" class="c1" target="_blank">除法</a> <a href="/tags/195/" title="乘法" class="c1" target="_blank">乘法</a> <a href="/tags/279/" title="综合" class="c1" target="_blank">综合</a> <a href="/tags/846/" title="分式" class="c1" target="_blank">分式</a> 的值是( )

A <a href="/tags/48/" title="练习" class="c1" target="_blank">练习</a> <a href="/tags/194/" title="除法" class="c1" target="_blank">除法</a> <a href="/tags/195/" title="乘法" class="c1" target="_blank">乘法</a> <a href="/tags/279/" title="综合" class="c1" target="_blank">综合</a> <a href="/tags/846/" title="分式" class="c1" target="_blank">分式</a> B <a href="/tags/48/" title="练习" class="c1" target="_blank">练习</a> <a href="/tags/194/" title="除法" class="c1" target="_blank">除法</a> <a href="/tags/195/" title="乘法" class="c1" target="_blank">乘法</a> <a href="/tags/279/" title="综合" class="c1" target="_blank">综合</a> <a href="/tags/846/" title="分式" class="c1" target="_blank">分式</a> C <a href="/tags/48/" title="练习" class="c1" target="_blank">练习</a> <a href="/tags/194/" title="除法" class="c1" target="_blank">除法</a> <a href="/tags/195/" title="乘法" class="c1" target="_blank">乘法</a> <a href="/tags/279/" title="综合" class="c1" target="_blank">综合</a> <a href="/tags/846/" title="分式" class="c1" target="_blank">分式</a> D <a href="/tags/48/" title="练习" class="c1" target="_blank">练习</a> <a href="/tags/194/" title="除法" class="c1" target="_blank">除法</a> <a href="/tags/195/" title="乘法" class="c1" target="_blank">乘法</a> <a href="/tags/279/" title="综合" class="c1" target="_blank">综合</a> <a href="/tags/846/" title="分式" class="c1" target="_blank">分式</a>

9.化简: <a href="/tags/48/" title="练习" class="c1" target="_blank">练习</a> <a href="/tags/194/" title="除法" class="c1" target="_blank">除法</a> <a href="/tags/195/" title="乘法" class="c1" target="_blank">乘法</a> <a href="/tags/279/" title="综合" class="c1" target="_blank">综合</a> <a href="/tags/846/" title="分式" class="c1" target="_blank">分式</a> 等于( )

A <a href="/tags/48/" title="练习" class="c1" target="_blank">练习</a> <a href="/tags/194/" title="除法" class="c1" target="_blank">除法</a> <a href="/tags/195/" title="乘法" class="c1" target="_blank">乘法</a> <a href="/tags/279/" title="综合" class="c1" target="_blank">综合</a> <a href="/tags/846/" title="分式" class="c1" target="_blank">分式</a> B <a href="/tags/48/" title="练习" class="c1" target="_blank">练习</a> <a href="/tags/194/" title="除法" class="c1" target="_blank">除法</a> <a href="/tags/195/" title="乘法" class="c1" target="_blank">乘法</a> <a href="/tags/279/" title="综合" class="c1" target="_blank">综合</a> <a href="/tags/846/" title="分式" class="c1" target="_blank">分式</a> C <a href="/tags/48/" title="练习" class="c1" target="_blank">练习</a> <a href="/tags/194/" title="除法" class="c1" target="_blank">除法</a> <a href="/tags/195/" title="乘法" class="c1" target="_blank">乘法</a> <a href="/tags/279/" title="综合" class="c1" target="_blank">综合</a> <a href="/tags/846/" title="分式" class="c1" target="_blank">分式</a> D <a href="/tags/48/" title="练习" class="c1" target="_blank">练习</a> <a href="/tags/194/" title="除法" class="c1" target="_blank">除法</a> <a href="/tags/195/" title="乘法" class="c1" target="_blank">乘法</a> <a href="/tags/279/" title="综合" class="c1" target="_blank">综合</a> <a href="/tags/846/" title="分式" class="c1" target="_blank">分式</a>

10.计算:

1 <a href="/tags/48/" title="练习" class="c1" target="_blank">练习</a> <a href="/tags/194/" title="除法" class="c1" target="_blank">除法</a> <a href="/tags/195/" title="乘法" class="c1" target="_blank">乘法</a> <a href="/tags/279/" title="综合" class="c1" target="_blank">综合</a> <a href="/tags/846/" title="分式" class="c1" target="_blank">分式</a>




2 <a href="/tags/48/" title="练习" class="c1" target="_blank">练习</a> <a href="/tags/194/" title="除法" class="c1" target="_blank">除法</a> <a href="/tags/195/" title="乘法" class="c1" target="_blank">乘法</a> <a href="/tags/279/" title="综合" class="c1" target="_blank">综合</a> <a href="/tags/846/" title="分式" class="c1" target="_blank">分式</a>




拓展创新题

11.(巧解题)如果 <a href="/tags/48/" title="练习" class="c1" target="_blank">练习</a> <a href="/tags/194/" title="除法" class="c1" target="_blank">除法</a> <a href="/tags/195/" title="乘法" class="c1" target="_blank">乘法</a> <a href="/tags/279/" title="综合" class="c1" target="_blank">综合</a> <a href="/tags/846/" title="分式" class="c1" target="_blank">分式</a> ,那么 <a href="/tags/48/" title="练习" class="c1" target="_blank">练习</a> <a href="/tags/194/" title="除法" class="c1" target="_blank">除法</a> <a href="/tags/195/" title="乘法" class="c1" target="_blank">乘法</a> <a href="/tags/279/" title="综合" class="c1" target="_blank">综合</a> <a href="/tags/846/" title="分式" class="c1" target="_blank">分式</a> 等于( )

A6 B9 C12 D81

12.(学科综合题)已知 <a href="/tags/48/" title="练习" class="c1" target="_blank">练习</a> <a href="/tags/194/" title="除法" class="c1" target="_blank">除法</a> <a href="/tags/195/" title="乘法" class="c1" target="_blank">乘法</a> <a href="/tags/279/" title="综合" class="c1" target="_blank">综合</a> <a href="/tags/846/" title="分式" class="c1" target="_blank">分式</a> .求 <a href="/tags/48/" title="练习" class="c1" target="_blank">练习</a> <a href="/tags/194/" title="除法" class="c1" target="_blank">除法</a> <a href="/tags/195/" title="乘法" class="c1" target="_blank">乘法</a> <a href="/tags/279/" title="综合" class="c1" target="_blank">综合</a> <a href="/tags/846/" title="分式" class="c1" target="_blank">分式</a> 的值.




13.(学科综合题)先化简,再求值:

 <a href="/tags/48/" title="练习" class="c1" target="_blank">练习</a> <a href="/tags/194/" title="除法" class="c1" target="_blank">除法</a> <a href="/tags/195/" title="乘法" class="c1" target="_blank">乘法</a> <a href="/tags/279/" title="综合" class="c1" target="_blank">综合</a> <a href="/tags/846/" title="分式" class="c1" target="_blank">分式</a> .其中 <a href="/tags/48/" title="练习" class="c1" target="_blank">练习</a> <a href="/tags/194/" title="除法" class="c1" target="_blank">除法</a> <a href="/tags/195/" title="乘法" class="c1" target="_blank">乘法</a> <a href="/tags/279/" title="综合" class="c1" target="_blank">综合</a> <a href="/tags/846/" title="分式" class="c1" target="_blank">分式</a>



14.(数学与生活)一箱苹果 <a href="/tags/48/" title="练习" class="c1" target="_blank">练习</a> <a href="/tags/194/" title="除法" class="c1" target="_blank">除法</a> <a href="/tags/195/" title="乘法" class="c1" target="_blank">乘法</a> <a href="/tags/279/" title="综合" class="c1" target="_blank">综合</a> <a href="/tags/846/" title="分式" class="c1" target="_blank">分式</a> 千克,售价 <a href="/tags/48/" title="练习" class="c1" target="_blank">练习</a> <a href="/tags/194/" title="除法" class="c1" target="_blank">除法</a> <a href="/tags/195/" title="乘法" class="c1" target="_blank">乘法</a> <a href="/tags/279/" title="综合" class="c1" target="_blank">综合</a> <a href="/tags/846/" title="分式" class="c1" target="_blank">分式</a> 元;一箱梨子 <a href="/tags/48/" title="练习" class="c1" target="_blank">练习</a> <a href="/tags/194/" title="除法" class="c1" target="_blank">除法</a> <a href="/tags/195/" title="乘法" class="c1" target="_blank">乘法</a> <a href="/tags/279/" title="综合" class="c1" target="_blank">综合</a> <a href="/tags/846/" title="分式" class="c1" target="_blank">分式</a> 千克,售价 <a href="/tags/48/" title="练习" class="c1" target="_blank">练习</a> <a href="/tags/194/" title="除法" class="c1" target="_blank">除法</a> <a href="/tags/195/" title="乘法" class="c1" target="_blank">乘法</a> <a href="/tags/279/" title="综合" class="c1" target="_blank">综合</a> <a href="/tags/846/" title="分式" class="c1" target="_blank">分式</a> 元,试问苹果的单价是梨子单价的多少倍?(用 <a href="/tags/48/" title="练习" class="c1" target="_blank">练习</a> <a href="/tags/194/" title="除法" class="c1" target="_blank">除法</a> <a href="/tags/195/" title="乘法" class="c1" target="_blank">乘法</a> <a href="/tags/279/" title="综合" class="c1" target="_blank">综合</a> <a href="/tags/846/" title="分式" class="c1" target="_blank">分式</a> <a href="/tags/48/" title="练习" class="c1" target="_blank">练习</a> <a href="/tags/194/" title="除法" class="c1" target="_blank">除法</a> <a href="/tags/195/" title="乘法" class="c1" target="_blank">乘法</a> <a href="/tags/279/" title="综合" class="c1" target="_blank">综合</a> <a href="/tags/846/" title="分式" class="c1" target="_blank">分式</a> 的代数式表示)




15.(探究题)有这样一道题:“计算 <a href="/tags/48/" title="练习" class="c1" target="_blank">练习</a> <a href="/tags/194/" title="除法" class="c1" target="_blank">除法</a> <a href="/tags/195/" title="乘法" class="c1" target="_blank">乘法</a> <a href="/tags/279/" title="综合" class="c1" target="_blank">综合</a> <a href="/tags/846/" title="分式" class="c1" target="_blank">分式</a> 的值,其中 <a href="/tags/48/" title="练习" class="c1" target="_blank">练习</a> <a href="/tags/194/" title="除法" class="c1" target="_blank">除法</a> <a href="/tags/195/" title="乘法" class="c1" target="_blank">乘法</a> <a href="/tags/279/" title="综合" class="c1" target="_blank">综合</a> <a href="/tags/846/" title="分式" class="c1" target="_blank">分式</a> ”甲同学把“ <a href="/tags/48/" title="练习" class="c1" target="_blank">练习</a> <a href="/tags/194/" title="除法" class="c1" target="_blank">除法</a> <a href="/tags/195/" title="乘法" class="c1" target="_blank">乘法</a> <a href="/tags/279/" title="综合" class="c1" target="_blank">综合</a> <a href="/tags/846/" title="分式" class="c1" target="_blank">分式</a> ”错抄成“ <a href="/tags/48/" title="练习" class="c1" target="_blank">练习</a> <a href="/tags/194/" title="除法" class="c1" target="_blank">除法</a> <a href="/tags/195/" title="乘法" class="c1" target="_blank">乘法</a> <a href="/tags/279/" title="综合" class="c1" target="_blank">综合</a> <a href="/tags/846/" title="分式" class="c1" target="_blank">分式</a> ”,但他的计算结果也正确,你说这是怎么回事?



参考答案

1. <a href="/tags/48/" title="练习" class="c1" target="_blank">练习</a> <a href="/tags/194/" title="除法" class="c1" target="_blank">除法</a> <a href="/tags/195/" title="乘法" class="c1" target="_blank">乘法</a> <a href="/tags/279/" title="综合" class="c1" target="_blank">综合</a> <a href="/tags/846/" title="分式" class="c1" target="_blank">分式</a>

2 <a href="/tags/48/" title="练习" class="c1" target="_blank">练习</a> <a href="/tags/194/" title="除法" class="c1" target="_blank">除法</a> <a href="/tags/195/" title="乘法" class="c1" target="_blank">乘法</a> <a href="/tags/279/" title="综合" class="c1" target="_blank">综合</a> <a href="/tags/846/" title="分式" class="c1" target="_blank">分式</a>

3 <a href="/tags/48/" title="练习" class="c1" target="_blank">练习</a> <a href="/tags/194/" title="除法" class="c1" target="_blank">除法</a> <a href="/tags/195/" title="乘法" class="c1" target="_blank">乘法</a> <a href="/tags/279/" title="综合" class="c1" target="_blank">综合</a> <a href="/tags/846/" title="分式" class="c1" target="_blank">分式</a>

4C

5 <a href="/tags/48/" title="练习" class="c1" target="_blank">练习</a> <a href="/tags/194/" title="除法" class="c1" target="_blank">除法</a> <a href="/tags/195/" title="乘法" class="c1" target="_blank">乘法</a> <a href="/tags/279/" title="综合" class="c1" target="_blank">综合</a> <a href="/tags/846/" title="分式" class="c1" target="_blank">分式</a>

6A 7B 8D 9B

10.(1 <a href="/tags/48/" title="练习" class="c1" target="_blank">练习</a> <a href="/tags/194/" title="除法" class="c1" target="_blank">除法</a> <a href="/tags/195/" title="乘法" class="c1" target="_blank">乘法</a> <a href="/tags/279/" title="综合" class="c1" target="_blank">综合</a> <a href="/tags/846/" title="分式" class="c1" target="_blank">分式</a>2 <a href="/tags/48/" title="练习" class="c1" target="_blank">练习</a> <a href="/tags/194/" title="除法" class="c1" target="_blank">除法</a> <a href="/tags/195/" title="乘法" class="c1" target="_blank">乘法</a> <a href="/tags/279/" title="综合" class="c1" target="_blank">综合</a> <a href="/tags/846/" title="分式" class="c1" target="_blank">分式</a>

11B

12 <a href="/tags/48/" title="练习" class="c1" target="_blank">练习</a> <a href="/tags/194/" title="除法" class="c1" target="_blank">除法</a> <a href="/tags/195/" title="乘法" class="c1" target="_blank">乘法</a> <a href="/tags/279/" title="综合" class="c1" target="_blank">综合</a> <a href="/tags/846/" title="分式" class="c1" target="_blank">分式</a>

135

14 <a href="/tags/48/" title="练习" class="c1" target="_blank">练习</a> <a href="/tags/194/" title="除法" class="c1" target="_blank">除法</a> <a href="/tags/195/" title="乘法" class="c1" target="_blank">乘法</a> <a href="/tags/279/" title="综合" class="c1" target="_blank">综合</a> <a href="/tags/846/" title="分式" class="c1" target="_blank">分式</a>

15.因为 <a href="/tags/48/" title="练习" class="c1" target="_blank">练习</a> <a href="/tags/194/" title="除法" class="c1" target="_blank">除法</a> <a href="/tags/195/" title="乘法" class="c1" target="_blank">乘法</a> <a href="/tags/279/" title="综合" class="c1" target="_blank">综合</a> <a href="/tags/846/" title="分式" class="c1" target="_blank">分式</a>