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【329319】《分式的加法与减法》综合练习1

时间:2025-01-21 12:55:35 作者: 字数:1497字
简介:

3.5 分式的加法与减法

题型1:同分母分式的加减运算

1.(基本技能题)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/52/" title="减法" class="c1" target="_blank">减法</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.(基本技能题)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/52/" title="减法" class="c1" target="_blank">减法</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:异分母分式的加减运算

3.(技能题)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/52/" title="减法" class="c1" target="_blank">减法</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.(易错题)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/52/" title="减法" class="c1" target="_blank">减法</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>

5.(技能题)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/52/" title="减法" class="c1" target="_blank">减法</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

6.化简 <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/52/" title="减法" class="c1" target="_blank">减法</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/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/52/" title="减法" class="c1" target="_blank">减法</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/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/52/" title="减法" class="c1" target="_blank">减法</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/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/52/" title="减法" class="c1" target="_blank">减法</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/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/52/" title="减法" class="c1" target="_blank">减法</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>

7.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/52/" title="减法" class="c1" target="_blank">减法</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/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/52/" title="减法" class="c1" target="_blank">减法</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/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/52/" title="减法" class="c1" target="_blank">减法</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/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/52/" title="减法" class="c1" target="_blank">减法</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> D2

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/52/" title="减法" class="c1" target="_blank">减法</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/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/52/" title="减法" class="c1" target="_blank">减法</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/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/52/" title="减法" class="c1" target="_blank">减法</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/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/52/" title="减法" class="c1" target="_blank">减法</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/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/52/" title="减法" class="c1" target="_blank">减法</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.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/52/" title="减法" class="c1" target="_blank">减法</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> ,则 <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/52/" title="减法" class="c1" target="_blank">减法</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.当分式 <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/52/" title="减法" class="c1" target="_blank">减法</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> 的值等于零时,则 <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/52/" title="减法" class="c1" target="_blank">减法</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> _________

11.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/52/" title="减法" class="c1" target="_blank">减法</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> ,则 <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/52/" title="减法" class="c1" target="_blank">减法</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> 的值的符号是__________

12.已知 <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/52/" title="减法" class="c1" target="_blank">减法</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/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/52/" title="减法" class="c1" target="_blank">减法</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> ,则 <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/52/" title="减法" class="c1" target="_blank">减法</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> 的值等于________

拓展创新题

13.(易错题)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/52/" title="减法" class="c1" target="_blank">减法</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.(易错题)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/52/" title="减法" class="c1" target="_blank">减法</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.(学科综合题)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/52/" title="减法" class="c1" target="_blank">减法</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/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/52/" title="减法" class="c1" target="_blank">减法</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>



16.(数学与生活)已知 <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/52/" title="减法" class="c1" target="_blank">减法</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/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/52/" title="减法" class="c1" target="_blank">减法</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> 两地相距 <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/52/" title="减法" class="c1" target="_blank">减法</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> 千米,王刚从 <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/52/" title="减法" class="c1" target="_blank">减法</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> 地往 <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/52/" title="减法" class="c1" target="_blank">减法</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> 地需要 <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/52/" title="减法" class="c1" target="_blank">减法</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> 小时,赵军从 <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/52/" title="减法" class="c1" target="_blank">减法</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> 地往 <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/52/" title="减法" class="c1" target="_blank">减法</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> 地,需要 <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/52/" title="减法" class="c1" target="_blank">减法</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> 小时,他们同时出发相向而行,需要几时相遇?



17.(开放题)已知两个分式: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/52/" title="减法" class="c1" target="_blank">减法</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/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/52/" title="减法" class="c1" target="_blank">减法</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/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/52/" title="减法" class="c1" target="_blank">减法</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x≠±2,下面有三个结论:①A=B;②A·B=;③A+B=0.请问哪个正确?为什么?








参考答案

11 2 <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/52/" title="减法" class="c1" target="_blank">减法</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/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/52/" title="减法" class="c1" target="_blank">减法</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> 40 5 <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/52/" title="减法" class="c1" target="_blank">减法</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>

6C 7D 8C 9 <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/52/" title="减法" class="c1" target="_blank">减法</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 <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/52/" title="减法" class="c1" target="_blank">减法</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> 11.正号 127

13 <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/52/" title="减法" class="c1" target="_blank">减法</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 <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/52/" title="减法" class="c1" target="_blank">减法</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 <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/52/" title="减法" class="c1" target="_blank">减法</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>

16 <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/52/" title="减法" class="c1" target="_blank">减法</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> (小时)

17.③正确.理由:因为 <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/52/" title="减法" class="c1" target="_blank">减法</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>