当前位置:首页 > 八年级 > 数学试卷

【330029】16.1 第2课时 二次根式的性质

时间:2025-02-07 09:18:50 作者: 字数:1395字
  1. 二次根式

16.1 二次根式

2课时 二次根式的性质

一、选择题

1.下列计算正确的有( )

 <a href="/tags/16/" title="课时" class="c1" target="_blank">课时</a> <a href="/tags/386/" title="性质" class="c1" target="_blank">性质</a> <a href="/tags/896/" title="根式" class="c1" target="_blank">根式</a> <a href="/tags/16/" title="课时" class="c1" target="_blank">课时</a> <a href="/tags/386/" title="性质" class="c1" target="_blank">性质</a> <a href="/tags/896/" title="根式" class="c1" target="_blank">根式</a> <a href="/tags/16/" title="课时" class="c1" target="_blank">课时</a> <a href="/tags/386/" title="性质" class="c1" target="_blank">性质</a> <a href="/tags/896/" title="根式" class="c1" target="_blank">根式</a> <a href="/tags/16/" title="课时" class="c1" target="_blank">课时</a> <a href="/tags/386/" title="性质" class="c1" target="_blank">性质</a> <a href="/tags/896/" title="根式" class="c1" target="_blank">根式</a> [来源:学科网]

A.①② B.③④ C.①③ D.②④

2. <a href="/tags/16/" title="课时" class="c1" target="_blank">课时</a> <a href="/tags/386/" title="性质" class="c1" target="_blank">性质</a> <a href="/tags/896/" title="根式" class="c1" target="_blank">根式</a> 的值等于(

A. <a href="/tags/16/" title="课时" class="c1" target="_blank">课时</a> <a href="/tags/386/" title="性质" class="c1" target="_blank">性质</a> <a href="/tags/896/" title="根式" class="c1" target="_blank">根式</a> B. <a href="/tags/16/" title="课时" class="c1" target="_blank">课时</a> <a href="/tags/386/" title="性质" class="c1" target="_blank">性质</a> <a href="/tags/896/" title="根式" class="c1" target="_blank">根式</a>

C.1 D. -1

3.已知二次根式 <a href="/tags/16/" title="课时" class="c1" target="_blank">课时</a> <a href="/tags/386/" title="性质" class="c1" target="_blank">性质</a> <a href="/tags/896/" title="根式" class="c1" target="_blank">根式</a> 的值为3,那么x的值是(  <a href="/tags/16/" title="课时" class="c1" target="_blank">课时</a> <a href="/tags/386/" title="性质" class="c1" target="_blank">性质</a> <a href="/tags/896/" title="根式" class="c1" target="_blank">根式</a>

A.3 B.9 C.-3 D.3-3

4.已知 <a href="/tags/16/" title="课时" class="c1" target="_blank">课时</a> <a href="/tags/386/" title="性质" class="c1" target="_blank">性质</a> <a href="/tags/896/" title="根式" class="c1" target="_blank">根式</a> 那么a的取值范围是( )[来源:&&Z&X&X&K]

A <a href="/tags/16/" title="课时" class="c1" target="_blank">课时</a> <a href="/tags/386/" title="性质" class="c1" target="_blank">性质</a> <a href="/tags/896/" title="根式" class="c1" target="_blank">根式</a> B <a href="/tags/16/" title="课时" class="c1" target="_blank">课时</a> <a href="/tags/386/" title="性质" class="c1" target="_blank">性质</a> <a href="/tags/896/" title="根式" class="c1" target="_blank">根式</a> C <a href="/tags/16/" title="课时" class="c1" target="_blank">课时</a> <a href="/tags/386/" title="性质" class="c1" target="_blank">性质</a> <a href="/tags/896/" title="根式" class="c1" target="_blank">根式</a> D <a href="/tags/16/" title="课时" class="c1" target="_blank">课时</a> <a href="/tags/386/" title="性质" class="c1" target="_blank">性质</a> <a href="/tags/896/" title="根式" class="c1" target="_blank">根式</a>

二、填空题

5.直接写出下列各 <a href="/tags/16/" title="课时" class="c1" target="_blank">课时</a> <a href="/tags/386/" title="性质" class="c1" target="_blank">性质</a> <a href="/tags/896/" title="根式" class="c1" target="_blank">根式</a> 式的结果:

(1) <a href="/tags/16/" title="课时" class="c1" target="_blank">课时</a> <a href="/tags/386/" title="性质" class="c1" target="_blank">性质</a> <a href="/tags/896/" title="根式" class="c1" target="_blank">根式</a> _______ (2) <a href="/tags/16/" title="课时" class="c1" target="_blank">课时</a> <a href="/tags/386/" title="性质" class="c1" target="_blank">性质</a> <a href="/tags/896/" title="根式" class="c1" target="_blank">根式</a> _______ (3) <a href="/tags/16/" title="课时" class="c1" target="_blank">课时</a> <a href="/tags/386/" title="性质" class="c1" target="_blank">性质</a> <a href="/tags/896/" title="根式" class="c1" target="_blank">根式</a> _______

(4) <a href="/tags/16/" title="课时" class="c1" target="_blank">课时</a> <a href="/tags/386/" title="性质" class="c1" target="_blank">性质</a> <a href="/tags/896/" title="根式" class="c1" target="_blank">根式</a> _______ (5) <a href="/tags/16/" title="课时" class="c1" target="_blank">课时</a> <a href="/tags/386/" title="性质" class="c1" target="_blank">性质</a> <a href="/tags/896/" title="根式" class="c1" target="_blank">根式</a> _______(6) <a href="/tags/16/" title="课时" class="c1" target="_blank">课时</a> <a href="/tags/386/" title="性质" class="c1" target="_blank">性质</a> <a href="/tags/896/" title="根式" class="c1" target="_blank">根式</a> _______

6.已知2<x<5,化简: <a href="/tags/16/" title="课时" class="c1" target="_blank">课时</a> <a href="/tags/386/" title="性质" class="c1" target="_blank">性质</a> <a href="/tags/896/" title="根式" class="c1" target="_blank">根式</a> = .

7 <a href="/tags/16/" title="课时" class="c1" target="_blank">课时</a> <a href="/tags/386/" title="性质" class="c1" target="_blank">性质</a> <a href="/tags/896/" title="根式" class="c1" target="_blank">根式</a> .如果 <a href="/tags/16/" title="课时" class="c1" target="_blank">课时</a> <a href="/tags/386/" title="性质" class="c1" target="_blank">性质</a> <a href="/tags/896/" title="根式" class="c1" target="_blank">根式</a> 是二次根式,那么点 <a href="/tags/16/" title="课时" class="c1" target="_blank">课时</a> <a href="/tags/386/" title="性质" class="c1" target="_blank">性质</a> <a href="/tags/896/" title="根式" class="c1" target="_blank">根式</a> 的坐标为 .

8.已知实数a在数轴上的位置如图所示,则化简 <a href="/tags/16/" title="课时" class="c1" target="_blank">课时</a> <a href="/tags/386/" title="性质" class="c1" target="_blank">性质</a> <a href="/tags/896/" title="根式" class="c1" target="_blank">根式</a> 的结果是 .

 <a href="/tags/16/" title="课时" class="c1" target="_blank">课时</a> <a href="/tags/386/" title="性质" class="c1" target="_blank">性质</a> <a href="/tags/896/" title="根式" class="c1" target="_blank">根式</a>

9.李东和赵梅在解答题目:“先化简,再求值: <a href="/tags/16/" title="课时" class="c1" target="_blank">课时</a> <a href="/tags/386/" title="性质" class="c1" target="_blank">性质</a> <a href="/tags/896/" title="根式" class="c1" target="_blank">根式</a> ,其中a=10”时得出不同的答案.

李东的解答过程如下:

 <a href="/tags/16/" title="课时" class="c1" target="_blank">课时</a> <a href="/tags/386/" title="性质" class="c1" target="_blank">性质</a> <a href="/tags/896/" title="根式" class="c1" target="_blank">根式</a> .

赵梅的解答过程如下:

 <a href="/tags/16/" title="课时" class="c1" target="_blank">课时</a> <a href="/tags/386/" title="性质" class="c1" target="_blank">性质</a> <a href="/tags/896/" title="根式" class="c1" target="_blank">根式</a>

(1) ___的解答是错误的;

(2) 错误的原因是 .


  1. 解答题

10.利用 <a href="/tags/16/" title="课时" class="c1" target="_blank">课时</a> <a href="/tags/386/" title="性质" class="c1" target="_blank">性质</a> <a href="/tags/896/" title="根式" class="c1" target="_blank">根式</a> ,把下列非负数分别写成一个非负数的平方的形式;

116;(27;(31.5;(4 <a href="/tags/16/" title="课时" class="c1" target="_blank">课时</a> <a href="/tags/386/" title="性质" class="c1" target="_blank">性质</a> <a href="/tags/896/" title="根式" class="c1" target="_blank">根式</a>


11.计算下列各式:

1 <a href="/tags/16/" title="课时" class="c1" target="_blank">课时</a> <a href="/tags/386/" title="性质" class="c1" target="_blank">性质</a> <a href="/tags/896/" title="根式" class="c1" target="_blank">根式</a> 2 <a href="/tags/16/" title="课时" class="c1" target="_blank">课时</a> <a href="/tags/386/" title="性质" class="c1" target="_blank">性质</a> <a href="/tags/896/" title="根式" class="c1" target="_blank">根式</a> 3 <a href="/tags/16/" title="课时" class="c1" target="_blank">课时</a> <a href="/tags/386/" title="性质" class="c1" target="_blank">性质</a> <a href="/tags/896/" title="根式" class="c1" target="_blank">根式</a>

4 <a href="/tags/16/" title="课时" class="c1" target="_blank">课时</a> <a href="/tags/386/" title="性质" class="c1" target="_blank">性质</a> <a href="/tags/896/" title="根式" class="c1" target="_blank">根式</a> ;(5 <a href="/tags/16/" title="课时" class="c1" target="_blank">课时</a> <a href="/tags/386/" title="性质" class="c1" target="_blank">性质</a> <a href="/tags/896/" title="根式" class="c1" target="_blank">根式</a> 6 <a href="/tags/16/" title="课时" class="c1" target="_blank">课时</a> <a href="/tags/386/" title="性质" class="c1" target="_blank">性质</a> <a href="/tags/896/" title="根式" class="c1" target="_blank">根式</a>