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【329317】《分式的加法与减法(2)》同步练习1

时间:2025-01-21 12:55:26 作者: 字数:1640字
简介:

3.5 分式的加法与减法(2)同步练习

【知识盘点】

1.把分母不相同的几个分式化成分母相同的分式叫做________

2.三个分式的分母是3ax2y4a3xy2xy,则它们的最简公分母是______

3.分式 <a href="/tags/43/" title="加法" class="c1" target="_blank">加法</a> <a href="/tags/48/" title="练习" class="c1" target="_blank">练习</a> <a href="/tags/50/" title="同步" class="c1" target="_blank">同步</a> <a href="/tags/52/" title="减法" class="c1" target="_blank">减法</a> <a href="/tags/846/" title="分式" class="c1" target="_blank">分式</a> 的最简公分母是______

4.计算:1+ <a href="/tags/43/" title="加法" class="c1" target="_blank">加法</a> <a href="/tags/48/" title="练习" class="c1" target="_blank">练习</a> <a href="/tags/50/" title="同步" class="c1" target="_blank">同步</a> <a href="/tags/52/" title="减法" class="c1" target="_blank">减法</a> <a href="/tags/846/" title="分式" class="c1" target="_blank">分式</a> =_______

5.如果 <a href="/tags/43/" title="加法" class="c1" target="_blank">加法</a> <a href="/tags/48/" title="练习" class="c1" target="_blank">练习</a> <a href="/tags/50/" title="同步" class="c1" target="_blank">同步</a> <a href="/tags/52/" title="减法" class="c1" target="_blank">减法</a> <a href="/tags/846/" title="分式" class="c1" target="_blank">分式</a> ,则常数A=_______B=________

【基础过关】

6.化简分式 <a href="/tags/43/" title="加法" class="c1" target="_blank">加法</a> <a href="/tags/48/" title="练习" class="c1" target="_blank">练习</a> <a href="/tags/50/" title="同步" class="c1" target="_blank">同步</a> <a href="/tags/52/" title="减法" class="c1" target="_blank">减法</a> <a href="/tags/846/" title="分式" class="c1" target="_blank">分式</a> ,结果正确的是( )

A <a href="/tags/43/" title="加法" class="c1" target="_blank">加法</a> <a href="/tags/48/" title="练习" class="c1" target="_blank">练习</a> <a href="/tags/50/" title="同步" class="c1" target="_blank">同步</a> <a href="/tags/52/" title="减法" class="c1" target="_blank">减法</a> <a href="/tags/846/" title="分式" class="c1" target="_blank">分式</a>

7.将 <a href="/tags/43/" title="加法" class="c1" target="_blank">加法</a> <a href="/tags/48/" title="练习" class="c1" target="_blank">练习</a> <a href="/tags/50/" title="同步" class="c1" target="_blank">同步</a> <a href="/tags/52/" title="减法" class="c1" target="_blank">减法</a> <a href="/tags/846/" title="分式" class="c1" target="_blank">分式</a> 通分,则公分母是( )

Aa+1 Ba-1 C.(a+1)(a-1D.(a+12a-1

8.计算 <a href="/tags/43/" title="加法" class="c1" target="_blank">加法</a> <a href="/tags/48/" title="练习" class="c1" target="_blank">练习</a> <a href="/tags/50/" title="同步" class="c1" target="_blank">同步</a> <a href="/tags/52/" title="减法" class="c1" target="_blank">减法</a> <a href="/tags/846/" title="分式" class="c1" target="_blank">分式</a> ÷[x- <a href="/tags/43/" title="加法" class="c1" target="_blank">加法</a> <a href="/tags/48/" title="练习" class="c1" target="_blank">练习</a> <a href="/tags/50/" title="同步" class="c1" target="_blank">同步</a> <a href="/tags/52/" title="减法" class="c1" target="_blank">减法</a> <a href="/tags/846/" title="分式" class="c1" target="_blank">分式</a> ],结果正确的是( )

A <a href="/tags/43/" title="加法" class="c1" target="_blank">加法</a> <a href="/tags/48/" title="练习" class="c1" target="_blank">练习</a> <a href="/tags/50/" title="同步" class="c1" target="_blank">同步</a> <a href="/tags/52/" title="减法" class="c1" target="_blank">减法</a> <a href="/tags/846/" title="分式" class="c1" target="_blank">分式</a> D-1

9.计算 <a href="/tags/43/" title="加法" class="c1" target="_blank">加法</a> <a href="/tags/48/" title="练习" class="c1" target="_blank">练习</a> <a href="/tags/50/" title="同步" class="c1" target="_blank">同步</a> <a href="/tags/52/" title="减法" class="c1" target="_blank">减法</a> <a href="/tags/846/" title="分式" class="c1" target="_blank">分式</a> ,结果正确的是( )

A <a href="/tags/43/" title="加法" class="c1" target="_blank">加法</a> <a href="/tags/48/" title="练习" class="c1" target="_blank">练习</a> <a href="/tags/50/" title="同步" class="c1" target="_blank">同步</a> <a href="/tags/52/" title="减法" class="c1" target="_blank">减法</a> <a href="/tags/846/" title="分式" class="c1" target="_blank">分式</a>

10.化简(x- <a href="/tags/43/" title="加法" class="c1" target="_blank">加法</a> <a href="/tags/48/" title="练习" class="c1" target="_blank">练习</a> <a href="/tags/50/" title="同步" class="c1" target="_blank">同步</a> <a href="/tags/52/" title="减法" class="c1" target="_blank">减法</a> <a href="/tags/846/" title="分式" class="c1" target="_blank">分式</a> ÷y- <a href="/tags/43/" title="加法" class="c1" target="_blank">加法</a> <a href="/tags/48/" title="练习" class="c1" target="_blank">练习</a> <a href="/tags/50/" title="同步" class="c1" target="_blank">同步</a> <a href="/tags/52/" title="减法" class="c1" target="_blank">减法</a> <a href="/tags/846/" title="分式" class="c1" target="_blank">分式</a> ),结果正确的是( )

A1 B <a href="/tags/43/" title="加法" class="c1" target="_blank">加法</a> <a href="/tags/48/" title="练习" class="c1" target="_blank">练习</a> <a href="/tags/50/" title="同步" class="c1" target="_blank">同步</a> <a href="/tags/52/" title="减法" class="c1" target="_blank">减法</a> <a href="/tags/846/" title="分式" class="c1" target="_blank">分式</a> C <a href="/tags/43/" title="加法" class="c1" target="_blank">加法</a> <a href="/tags/48/" title="练习" class="c1" target="_blank">练习</a> <a href="/tags/50/" title="同步" class="c1" target="_blank">同步</a> <a href="/tags/52/" title="减法" class="c1" target="_blank">减法</a> <a href="/tags/846/" title="分式" class="c1" target="_blank">分式</a> D-1

【应用拓展】

11.计算:

1 <a href="/tags/43/" title="加法" class="c1" target="_blank">加法</a> <a href="/tags/48/" title="练习" class="c1" target="_blank">练习</a> <a href="/tags/50/" title="同步" class="c1" target="_blank">同步</a> <a href="/tags/52/" title="减法" class="c1" target="_blank">减法</a> <a href="/tags/846/" title="分式" class="c1" target="_blank">分式</a>


12.先化简,再求值:

 <a href="/tags/43/" title="加法" class="c1" target="_blank">加法</a> <a href="/tags/48/" title="练习" class="c1" target="_blank">练习</a> <a href="/tags/50/" title="同步" class="c1" target="_blank">同步</a> <a href="/tags/52/" title="减法" class="c1" target="_blank">减法</a> <a href="/tags/846/" title="分式" class="c1" target="_blank">分式</a> ,其中x=1




13.有一道题“先化简,再求值: <a href="/tags/43/" title="加法" class="c1" target="_blank">加法</a> <a href="/tags/48/" title="练习" class="c1" target="_blank">练习</a> <a href="/tags/50/" title="同步" class="c1" target="_blank">同步</a> <a href="/tags/52/" title="减法" class="c1" target="_blank">减法</a> <a href="/tags/846/" title="分式" class="c1" target="_blank">分式</a> ,其中x=- <a href="/tags/43/" title="加法" class="c1" target="_blank">加法</a> <a href="/tags/48/" title="练习" class="c1" target="_blank">练习</a> <a href="/tags/50/" title="同步" class="c1" target="_blank">同步</a> <a href="/tags/52/" title="减法" class="c1" target="_blank">减法</a> <a href="/tags/846/" title="分式" class="c1" target="_blank">分式</a>,小强做题时把“x=- <a href="/tags/43/" title="加法" class="c1" target="_blank">加法</a> <a href="/tags/48/" title="练习" class="c1" target="_blank">练习</a> <a href="/tags/50/" title="同步" class="c1" target="_blank">同步</a> <a href="/tags/52/" title="减法" class="c1" target="_blank">减法</a> <a href="/tags/846/" title="分式" class="c1" target="_blank">分式</a>错抄成“x= <a href="/tags/43/" title="加法" class="c1" target="_blank">加法</a> <a href="/tags/48/" title="练习" class="c1" target="_blank">练习</a> <a href="/tags/50/" title="同步" class="c1" target="_blank">同步</a> <a href="/tags/52/" title="减法" class="c1" target="_blank">减法</a> <a href="/tags/846/" title="分式" class="c1" target="_blank">分式</a>,但他的计算结果也是正确的,请你解释这是怎么回事?





【综合提高】

14.观察下列算式:

 <a href="/tags/43/" title="加法" class="c1" target="_blank">加法</a> <a href="/tags/48/" title="练习" class="c1" target="_blank">练习</a> <a href="/tags/50/" title="同步" class="c1" target="_blank">同步</a> <a href="/tags/52/" title="减法" class="c1" target="_blank">减法</a> <a href="/tags/846/" title="分式" class="c1" target="_blank">分式</a> ……

1)通过观察,你得到什么结论?用含nn为正整数)的等式表示:________

2)利用你得出的结论,计算:

 <a href="/tags/43/" title="加法" class="c1" target="_blank">加法</a> <a href="/tags/48/" title="练习" class="c1" target="_blank">练习</a> <a href="/tags/50/" title="同步" class="c1" target="_blank">同步</a> <a href="/tags/52/" title="减法" class="c1" target="_blank">减法</a> <a href="/tags/846/" title="分式" class="c1" target="_blank">分式</a> .





15.若 <a href="/tags/43/" title="加法" class="c1" target="_blank">加法</a> <a href="/tags/48/" title="练习" class="c1" target="_blank">练习</a> <a href="/tags/50/" title="同步" class="c1" target="_blank">同步</a> <a href="/tags/52/" title="减法" class="c1" target="_blank">减法</a> <a href="/tags/846/" title="分式" class="c1" target="_blank">分式</a> - <a href="/tags/43/" title="加法" class="c1" target="_blank">加法</a> <a href="/tags/48/" title="练习" class="c1" target="_blank">练习</a> <a href="/tags/50/" title="同步" class="c1" target="_blank">同步</a> <a href="/tags/52/" title="减法" class="c1" target="_blank">减法</a> <a href="/tags/846/" title="分式" class="c1" target="_blank">分式</a> =3,求 <a href="/tags/43/" title="加法" class="c1" target="_blank">加法</a> <a href="/tags/48/" title="练习" class="c1" target="_blank">练习</a> <a href="/tags/50/" title="同步" class="c1" target="_blank">同步</a> <a href="/tags/52/" title="减法" class="c1" target="_blank">减法</a> <a href="/tags/846/" title="分式" class="c1" target="_blank">分式</a> 的值.



参考答案

1.通分

212a3x2y

3xx+3)(x-3

4 <a href="/tags/43/" title="加法" class="c1" target="_blank">加法</a> <a href="/tags/48/" title="练习" class="c1" target="_blank">练习</a> <a href="/tags/50/" title="同步" class="c1" target="_blank">同步</a> <a href="/tags/52/" title="减法" class="c1" target="_blank">减法</a> <a href="/tags/846/" title="分式" class="c1" target="_blank">分式</a>

511

6A 7C 8A 9D 10B

11.(1 <a href="/tags/43/" title="加法" class="c1" target="_blank">加法</a> <a href="/tags/48/" title="练习" class="c1" target="_blank">练习</a> <a href="/tags/50/" title="同步" class="c1" target="_blank">同步</a> <a href="/tags/52/" title="减法" class="c1" target="_blank">减法</a> <a href="/tags/846/" title="分式" class="c1" target="_blank">分式</a>

1210

13.原式化解后为x2+4,所以不论x= <a href="/tags/43/" title="加法" class="c1" target="_blank">加法</a> <a href="/tags/48/" title="练习" class="c1" target="_blank">练习</a> <a href="/tags/50/" title="同步" class="c1" target="_blank">同步</a> <a href="/tags/52/" title="减法" class="c1" target="_blank">减法</a> <a href="/tags/846/" title="分式" class="c1" target="_blank">分式</a> 或者x=- <a href="/tags/43/" title="加法" class="c1" target="_blank">加法</a> <a href="/tags/48/" title="练习" class="c1" target="_blank">练习</a> <a href="/tags/50/" title="同步" class="c1" target="_blank">同步</a> <a href="/tags/52/" title="减法" class="c1" target="_blank">减法</a> <a href="/tags/846/" title="分式" class="c1" target="_blank">分式</a> 结果都是一样的

14.(1 <a href="/tags/43/" title="加法" class="c1" target="_blank">加法</a> <a href="/tags/48/" title="练习" class="c1" target="_blank">练习</a> <a href="/tags/50/" title="同步" class="c1" target="_blank">同步</a> <a href="/tags/52/" title="减法" class="c1" target="_blank">减法</a> <a href="/tags/846/" title="分式" class="c1" target="_blank">分式</a>