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【329709】5.1 第2课时 分式的基本性质1

时间:2025-02-03 19:04:55 作者: 字数:1522字

5.1 认识分式

2课时 分式的基本性质

一、填空

1. 写出等式中未知的分子或分母:

 <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. 不改变分式的值,使分式的分子与分母都不含负号:

 <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> .

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________.

4. 将分式 <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> 的分子、分母中各项系数都化为整数,且分式的值不变,那么变形后的分式为________________.

5. 2x=y,则分式 <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> 的值为________.

三、认真选一选

1. 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都扩大为原来的5倍,那么这个分式的值 ( )

A.扩大为原来的5B.不变

C.缩小到原来的 <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.扩大为原来的 <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>

2. 使等式 <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> = <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> 自左到右变形成立的条件是 ( )

Ax<0 B.x>0 C.x≠0 D.x≠0x2

3. 不改变分式 <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> 的值,使分式的分子、分母中x的最高次数式的系数都是正数,应该是( )

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>


、解答题:


1. (3×4=12)不改变分式的值,使分式的分子、分母中的首项的系数都不含 “-” 号:

 <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. (6)化简求值: <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x=2y=3.







3.已知当x=3时,分式x+a/3x-b的值为0,当x=1时,分式无意义,试求a,b的值.








4. (6)已知x23x1=0,x <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.