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【329710】5.1 第2课时 分式的基本性质2

时间:2025-02-03 19:05:01 作者: 字数:1347字

5.1 认识分式

2课时 分式的基本性质

一、判断正误并改正:

 <a href="/tags/16/" title="课时" class="c1" target="_blank">课时</a> <a href="/tags/253/" title="基本" class="c1" target="_blank">基本</a> <a href="/tags/386/" title="性质" class="c1" target="_blank">性质</a> <a href="/tags/846/" title="分式" class="c1" target="_blank">分式</a> ( ) ② <a href="/tags/16/" title="课时" class="c1" target="_blank">课时</a> <a href="/tags/253/" title="基本" class="c1" target="_blank">基本</a> <a href="/tags/386/" title="性质" class="c1" target="_blank">性质</a> <a href="/tags/846/" title="分式" class="c1" target="_blank">分式</a> =ab( ) ③ <a href="/tags/16/" title="课时" class="c1" target="_blank">课时</a> <a href="/tags/253/" title="基本" class="c1" target="_blank">基本</a> <a href="/tags/386/" title="性质" class="c1" target="_blank">性质</a> <a href="/tags/846/" title="分式" class="c1" target="_blank">分式</a> =ab( )

 <a href="/tags/16/" title="课时" class="c1" target="_blank">课时</a> <a href="/tags/253/" title="基本" class="c1" target="_blank">基本</a> <a href="/tags/386/" title="性质" class="c1" target="_blank">性质</a> <a href="/tags/846/" title="分式" class="c1" target="_blank">分式</a> =1( ) ⑤ <a href="/tags/16/" title="课时" class="c1" target="_blank">课时</a> <a href="/tags/253/" title="基本" class="c1" target="_blank">基本</a> <a href="/tags/386/" title="性质" class="c1" target="_blank">性质</a> <a href="/tags/846/" title="分式" class="c1" target="_blank">分式</a> = <a href="/tags/16/" title="课时" class="c1" target="_blank">课时</a> <a href="/tags/253/" title="基本" class="c1" target="_blank">基本</a> <a href="/tags/386/" title="性质" class="c1" target="_blank">性质</a> <a href="/tags/846/" title="分式" class="c1" target="_blank">分式</a> ( ) ⑥ <a href="/tags/16/" title="课时" class="c1" target="_blank">课时</a> <a href="/tags/253/" title="基本" class="c1" target="_blank">基本</a> <a href="/tags/386/" title="性质" class="c1" target="_blank">性质</a> <a href="/tags/846/" title="分式" class="c1" target="_blank">分式</a> = <a href="/tags/16/" title="课时" class="c1" target="_blank">课时</a> <a href="/tags/253/" title="基本" class="c1" target="_blank">基本</a> <a href="/tags/386/" title="性质" class="c1" target="_blank">性质</a> <a href="/tags/846/" title="分式" class="c1" target="_blank">分式</a> ( )

二、认真选一选

1.下列约分正确的是( )

A. <a href="/tags/16/" title="课时" class="c1" target="_blank">课时</a> <a href="/tags/253/" title="基本" class="c1" target="_blank">基本</a> <a href="/tags/386/" title="性质" class="c1" target="_blank">性质</a> <a href="/tags/846/" title="分式" class="c1" target="_blank">分式</a> B. <a href="/tags/16/" title="课时" class="c1" target="_blank">课时</a> <a href="/tags/253/" title="基本" class="c1" target="_blank">基本</a> <a href="/tags/386/" title="性质" class="c1" target="_blank">性质</a> <a href="/tags/846/" title="分式" class="c1" target="_blank">分式</a> C. <a href="/tags/16/" title="课时" class="c1" target="_blank">课时</a> <a href="/tags/253/" title="基本" class="c1" target="_blank">基本</a> <a href="/tags/386/" title="性质" class="c1" target="_blank">性质</a> <a href="/tags/846/" title="分式" class="c1" target="_blank">分式</a> D. <a href="/tags/16/" title="课时" class="c1" target="_blank">课时</a> <a href="/tags/253/" title="基本" class="c1" target="_blank">基本</a> <a href="/tags/386/" title="性质" class="c1" target="_blank">性质</a> <a href="/tags/846/" title="分式" class="c1" target="_blank">分式</a>

2.下列变形不正确的是( )

A. <a href="/tags/16/" title="课时" class="c1" target="_blank">课时</a> <a href="/tags/253/" title="基本" class="c1" target="_blank">基本</a> <a href="/tags/386/" title="性质" class="c1" target="_blank">性质</a> <a href="/tags/846/" title="分式" class="c1" target="_blank">分式</a> B. <a href="/tags/16/" title="课时" class="c1" target="_blank">课时</a> <a href="/tags/253/" title="基本" class="c1" target="_blank">基本</a> <a href="/tags/386/" title="性质" class="c1" target="_blank">性质</a> <a href="/tags/846/" title="分式" class="c1" target="_blank">分式</a> (x≠1) C. <a href="/tags/16/" title="课时" class="c1" target="_blank">课时</a> <a href="/tags/253/" title="基本" class="c1" target="_blank">基本</a> <a href="/tags/386/" title="性质" class="c1" target="_blank">性质</a> <a href="/tags/846/" title="分式" class="c1" target="_blank">分式</a> = <a href="/tags/16/" title="课时" class="c1" target="_blank">课时</a> <a href="/tags/253/" title="基本" class="c1" target="_blank">基本</a> <a href="/tags/386/" title="性质" class="c1" target="_blank">性质</a> <a href="/tags/846/" title="分式" class="c1" target="_blank">分式</a> D. <a href="/tags/16/" title="课时" class="c1" target="_blank">课时</a> <a href="/tags/253/" title="基本" class="c1" target="_blank">基本</a> <a href="/tags/386/" title="性质" class="c1" target="_blank">性质</a> <a href="/tags/846/" title="分式" class="c1" target="_blank">分式</a>

3.等式 <a href="/tags/16/" title="课时" class="c1" target="_blank">课时</a> <a href="/tags/253/" title="基本" class="c1" target="_blank">基本</a> <a href="/tags/386/" title="性质" class="c1" target="_blank">性质</a> <a href="/tags/846/" title="分式" class="c1" target="_blank">分式</a> 成立的条件是( )

A.a≠0b≠0 B.a≠1b≠1 C.a≠1b≠1 D.ab 为任意数

4.如果把分式 <a href="/tags/16/" title="课时" class="c1" target="_blank">课时</a> <a href="/tags/253/" title="基本" class="c1" target="_blank">基本</a> <a href="/tags/386/" title="性质" class="c1" target="_blank">性质</a> <a href="/tags/846/" title="分式" class="c1" target="_blank">分式</a> 中的xy都扩大10倍,那么分式的值( )

A.扩大10 B.缩小10C.是原来的 <a href="/tags/16/" title="课时" class="c1" target="_blank">课时</a> <a href="/tags/253/" title="基本" class="c1" target="_blank">基本</a> <a href="/tags/386/" title="性质" class="c1" target="_blank">性质</a> <a href="/tags/846/" title="分式" class="c1" target="_blank">分式</a> D.不变

5.不改变分式的值,使 <a href="/tags/16/" title="课时" class="c1" target="_blank">课时</a> <a href="/tags/253/" title="基本" class="c1" target="_blank">基本</a> <a href="/tags/386/" title="性质" class="c1" target="_blank">性质</a> <a href="/tags/846/" title="分式" class="c1" target="_blank">分式</a> 的分子、分母中最高次项的系数都是正数,则此分式可化为( )

A. <a href="/tags/16/" title="课时" class="c1" target="_blank">课时</a> <a href="/tags/253/" title="基本" class="c1" target="_blank">基本</a> <a href="/tags/386/" title="性质" class="c1" target="_blank">性质</a> <a href="/tags/846/" title="分式" class="c1" target="_blank">分式</a> B. <a href="/tags/16/" title="课时" class="c1" target="_blank">课时</a> <a href="/tags/253/" title="基本" class="c1" target="_blank">基本</a> <a href="/tags/386/" title="性质" class="c1" target="_blank">性质</a> <a href="/tags/846/" title="分式" class="c1" target="_blank">分式</a> C. <a href="/tags/16/" title="课时" class="c1" target="_blank">课时</a> <a href="/tags/253/" title="基本" class="c1" target="_blank">基本</a> <a href="/tags/386/" title="性质" class="c1" target="_blank">性质</a> <a href="/tags/846/" title="分式" class="c1" target="_blank">分式</a> D. <a href="/tags/16/" title="课时" class="c1" target="_blank">课时</a> <a href="/tags/253/" title="基本" class="c1" target="_blank">基本</a> <a href="/tags/386/" title="性质" class="c1" target="_blank">性质</a> <a href="/tags/846/" title="分式" class="c1" target="_blank">分式</a>

6.下面化简正确的是( )

A <a href="/tags/16/" title="课时" class="c1" target="_blank">课时</a> <a href="/tags/253/" title="基本" class="c1" target="_blank">基本</a> <a href="/tags/386/" title="性质" class="c1" target="_blank">性质</a> <a href="/tags/846/" title="分式" class="c1" target="_blank">分式</a> =0 B.  <a href="/tags/16/" title="课时" class="c1" target="_blank">课时</a> <a href="/tags/253/" title="基本" class="c1" target="_blank">基本</a> <a href="/tags/386/" title="性质" class="c1" target="_blank">性质</a> <a href="/tags/846/" title="分式" class="c1" target="_blank">分式</a> =1 C.  <a href="/tags/16/" title="课时" class="c1" target="_blank">课时</a> <a href="/tags/253/" title="基本" class="c1" target="_blank">基本</a> <a href="/tags/386/" title="性质" class="c1" target="_blank">性质</a> <a href="/tags/846/" title="分式" class="c1" target="_blank">分式</a> =2 D. <a href="/tags/16/" title="课时" class="c1" target="_blank">课时</a> <a href="/tags/253/" title="基本" class="c1" target="_blank">基本</a> <a href="/tags/386/" title="性质" class="c1" target="_blank">性质</a> <a href="/tags/846/" title="分式" class="c1" target="_blank">分式</a> =x+y

7.下列约分:① <a href="/tags/16/" title="课时" class="c1" target="_blank">课时</a> <a href="/tags/253/" title="基本" class="c1" target="_blank">基本</a> <a href="/tags/386/" title="性质" class="c1" target="_blank">性质</a> <a href="/tags/846/" title="分式" class="c1" target="_blank">分式</a> = <a href="/tags/16/" title="课时" class="c1" target="_blank">课时</a> <a href="/tags/253/" title="基本" class="c1" target="_blank">基本</a> <a href="/tags/386/" title="性质" class="c1" target="_blank">性质</a> <a href="/tags/846/" title="分式" class="c1" target="_blank">分式</a>  <a href="/tags/16/" title="课时" class="c1" target="_blank">课时</a> <a href="/tags/253/" title="基本" class="c1" target="_blank">基本</a> <a href="/tags/386/" title="性质" class="c1" target="_blank">性质</a> <a href="/tags/846/" title="分式" class="c1" target="_blank">分式</a> = <a href="/tags/16/" title="课时" class="c1" target="_blank">课时</a> <a href="/tags/253/" title="基本" class="c1" target="_blank">基本</a> <a href="/tags/386/" title="性质" class="c1" target="_blank">性质</a> <a href="/tags/846/" title="分式" class="c1" target="_blank">分式</a>  <a href="/tags/16/" title="课时" class="c1" target="_blank">课时</a> <a href="/tags/253/" title="基本" class="c1" target="_blank">基本</a> <a href="/tags/386/" title="性质" class="c1" target="_blank">性质</a> <a href="/tags/846/" title="分式" class="c1" target="_blank">分式</a> = <a href="/tags/16/" title="课时" class="c1" target="_blank">课时</a> <a href="/tags/253/" title="基本" class="c1" target="_blank">基本</a> <a href="/tags/386/" title="性质" class="c1" target="_blank">性质</a> <a href="/tags/846/" title="分式" class="c1" target="_blank">分式</a>  <a href="/tags/16/" title="课时" class="c1" target="_blank">课时</a> <a href="/tags/253/" title="基本" class="c1" target="_blank">基本</a> <a href="/tags/386/" title="性质" class="c1" target="_blank">性质</a> <a href="/tags/846/" title="分式" class="c1" target="_blank">分式</a> =1

 <a href="/tags/16/" title="课时" class="c1" target="_blank">课时</a> <a href="/tags/253/" title="基本" class="c1" target="_blank">基本</a> <a href="/tags/386/" title="性质" class="c1" target="_blank">性质</a> <a href="/tags/846/" title="分式" class="c1" target="_blank">分式</a> =a1 ⑥ <a href="/tags/16/" title="课时" class="c1" target="_blank">课时</a> <a href="/tags/253/" title="基本" class="c1" target="_blank">基本</a> <a href="/tags/386/" title="性质" class="c1" target="_blank">性质</a> <a href="/tags/846/" title="分式" class="c1" target="_blank">分式</a> = <a href="/tags/16/" title="课时" class="c1" target="_blank">课时</a> <a href="/tags/253/" title="基本" class="c1" target="_blank">基本</a> <a href="/tags/386/" title="性质" class="c1" target="_blank">性质</a> <a href="/tags/846/" title="分式" class="c1" target="_blank">分式</a> 其中正确的有( )

A. 2B. 3C. 4D. 5


三、解答题:

1. 约分:

 <a href="/tags/16/" title="课时" class="c1" target="_blank">课时</a> <a href="/tags/253/" title="基本" class="c1" target="_blank">基本</a> <a href="/tags/386/" title="性质" class="c1" target="_blank">性质</a> <a href="/tags/846/" title="分式" class="c1" target="_blank">分式</a>  <a href="/tags/16/" title="课时" class="c1" target="_blank">课时</a> <a href="/tags/253/" title="基本" class="c1" target="_blank">基本</a> <a href="/tags/386/" title="性质" class="c1" target="_blank">性质</a> <a href="/tags/846/" title="分式" class="c1" target="_blank">分式</a>  <a href="/tags/16/" title="课时" class="c1" target="_blank">课时</a> <a href="/tags/253/" title="基本" class="c1" target="_blank">基本</a> <a href="/tags/386/" title="性质" class="c1" target="_blank">性质</a> <a href="/tags/846/" title="分式" class="c1" target="_blank">分式</a>



 <a href="/tags/16/" title="课时" class="c1" target="_blank">课时</a> <a href="/tags/253/" title="基本" class="c1" target="_blank">基本</a> <a href="/tags/386/" title="性质" class="c1" target="_blank">性质</a> <a href="/tags/846/" title="分式" class="c1" target="_blank">分式</a> <a href="/tags/16/" title="课时" class="c1" target="_blank">课时</a> <a href="/tags/253/" title="基本" class="c1" target="_blank">基本</a> <a href="/tags/386/" title="性质" class="c1" target="_blank">性质</a> <a href="/tags/846/" title="分式" class="c1" target="_blank">分式</a> <a href="/tags/16/" title="课时" class="c1" target="_blank">课时</a> <a href="/tags/253/" title="基本" class="c1" target="_blank">基本</a> <a href="/tags/386/" title="性质" class="c1" target="_blank">性质</a> <a href="/tags/846/" title="分式" class="c1" target="_blank">分式</a>



2. 先化简,再求值:

 <a href="/tags/16/" title="课时" class="c1" target="_blank">课时</a> <a href="/tags/253/" title="基本" class="c1" target="_blank">基本</a> <a href="/tags/386/" title="性质" class="c1" target="_blank">性质</a> <a href="/tags/846/" title="分式" class="c1" target="_blank">分式</a> ,其中a=5; ② <a href="/tags/16/" title="课时" class="c1" target="_blank">课时</a> <a href="/tags/253/" title="基本" class="c1" target="_blank">基本</a> <a href="/tags/386/" title="性质" class="c1" target="_blank">性质</a> <a href="/tags/846/" title="分式" class="c1" target="_blank">分式</a> ,其中a=3b≠0.





3.已知 <a href="/tags/16/" title="课时" class="c1" target="_blank">课时</a> <a href="/tags/253/" title="基本" class="c1" target="_blank">基本</a> <a href="/tags/386/" title="性质" class="c1" target="_blank">性质</a> <a href="/tags/846/" title="分式" class="c1" target="_blank">分式</a> ,求  <a href="/tags/16/" title="课时" class="c1" target="_blank">课时</a> <a href="/tags/253/" title="基本" class="c1" target="_blank">基本</a> <a href="/tags/386/" title="性质" class="c1" target="_blank">性质</a> <a href="/tags/846/" title="分式" class="c1" target="_blank">分式</a> 的值.





4.已知  <a href="/tags/16/" title="课时" class="c1" target="_blank">课时</a> <a href="/tags/253/" title="基本" class="c1" target="_blank">基本</a> <a href="/tags/386/" title="性质" class="c1" target="_blank">性质</a> <a href="/tags/846/" title="分式" class="c1" target="_blank">分式</a> = <a href="/tags/16/" title="课时" class="c1" target="_blank">课时</a> <a href="/tags/253/" title="基本" class="c1" target="_blank">基本</a> <a href="/tags/386/" title="性质" class="c1" target="_blank">性质</a> <a href="/tags/846/" title="分式" class="c1" target="_blank">分式</a> = <a href="/tags/16/" title="课时" class="c1" target="_blank">课时</a> <a href="/tags/253/" title="基本" class="c1" target="_blank">基本</a> <a href="/tags/386/" title="性质" class="c1" target="_blank">性质</a> <a href="/tags/846/" title="分式" class="c1" target="_blank">分式</a> ≠0, <a href="/tags/16/" title="课时" class="c1" target="_blank">课时</a> <a href="/tags/253/" title="基本" class="c1" target="_blank">基本</a> <a href="/tags/386/" title="性质" class="c1" target="_blank">性质</a> <a href="/tags/846/" title="分式" class="c1" target="_blank">分式</a> 的值.