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【329321】《分式的加法与减法》综合练习3

时间:2025-01-21 12:55:45 作者: 字数:1569字

3.5 分式的加法与减法

  一、判断正误(对的打“√”,错的打“×”)

  (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/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> <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) <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> -1(  )

  (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> (x-1)-(x1)-2(  )

  (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/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)- <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> (  )

  二、请你填一填

  (1)若分式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/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> 有意义,则x的取值范围是(  )

  Ax≠0 Bx≠2   Cx≠2x≠ <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> Dx≠2x≠ <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) <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>a4,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> -a)2的值是(  )

  A16 B9  C15 D12

  (3)已知x≠0,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> 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>

  (4)进水管单独进水a小时注满一池水,放水管单独放水b小时可把一池水放完(ba),现在两个水管同时进水和放水,注满一池水需要的时间为多少小时.(  )

  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>

  (5)把分式 <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> <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> 的分母化为x2-y2后,各分式的分子之和是(  )

  Ax2y22 Bx2y2-xy2

  Cx22xy-y22 Dx2-2xyy22

  三、认真算一算

  (1)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> · <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)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> -a-1



  (3)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> - <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>  <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)÷(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/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 <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>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/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>

参考答案

  一、(1)不对,改正: <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)√

  (3)不对,改正: <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)不对,改正:原式= <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>

  (5)不对,改正:原式=- <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>

  二、(1)C  (2)D  (3)D  (4)B  (5)C

  三、(1)原式= <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>

  (2)原式= <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> -a-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/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>

  (3)原式= <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> ÷ <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>

  = <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> · <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>

  当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/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>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/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> 时,原式= <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>3