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【323302】2023八年级数学上册 第5章 二次根式5.3二次根式的加法和减法同步练习(新版)湘教

时间:2025-01-15 20:30:15 作者: 字数:1695字
简介:


5.3 二次根式的加法和减法

一、认认真真,书写快乐

1.如果最简根式 <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/50/" title="同步" class="c1" target="_blank">同步</a> <a href="/tags/52/" title="减法" class="c1" target="_blank">减法</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/896/" title="根式" class="c1" target="_blank">根式</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/50/" title="同步" class="c1" target="_blank">同步</a> <a href="/tags/52/" title="减法" class="c1" target="_blank">减法</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/896/" title="根式" class="c1" target="_blank">根式</a> 能够进行合并,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/50/" title="同步" class="c1" target="_blank">同步</a> <a href="/tags/52/" title="减法" class="c1" target="_blank">减法</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/896/" title="根式" class="c1" target="_blank">根式</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/50/" title="同步" class="c1" target="_blank">同步</a> <a href="/tags/52/" title="减法" class="c1" target="_blank">减法</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/896/" title="根式" class="c1" target="_blank">根式</a>

3.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/50/" title="同步" class="c1" target="_blank">同步</a> <a href="/tags/52/" title="减法" class="c1" target="_blank">减法</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/896/" title="根式" class="c1" target="_blank">根式</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/50/" title="同步" class="c1" target="_blank">同步</a> <a href="/tags/52/" title="减法" class="c1" target="_blank">减法</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/896/" title="根式" class="c1" target="_blank">根式</a>

4.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/50/" title="同步" class="c1" target="_blank">同步</a> <a href="/tags/52/" title="减法" class="c1" target="_blank">减法</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/896/" title="根式" class="c1" target="_blank">根式</a> ,则代数式 <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/50/" title="同步" class="c1" target="_blank">同步</a> <a href="/tags/52/" title="减法" class="c1" target="_blank">减法</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/896/" title="根式" class="c1" target="_blank">根式</a> 的值为

5.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/50/" title="同步" class="c1" target="_blank">同步</a> <a href="/tags/52/" title="减法" class="c1" target="_blank">减法</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/896/" title="根式" class="c1" target="_blank">根式</a>

6.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/50/" title="同步" class="c1" target="_blank">同步</a> <a href="/tags/52/" title="减法" class="c1" target="_blank">减法</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/896/" title="根式" class="c1" target="_blank">根式</a> ,那么 <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/50/" title="同步" class="c1" target="_blank">同步</a> <a href="/tags/52/" title="减法" class="c1" target="_blank">减法</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/896/" title="根式" class="c1" target="_blank">根式</a> 的值是

二、仔仔细细,记录自信

7.下列根式,不能与 <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/50/" title="同步" class="c1" target="_blank">同步</a> <a href="/tags/52/" title="减法" class="c1" target="_blank">减法</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/896/" title="根式" class="c1" target="_blank">根式</a> 合并的是( )

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/50/" title="同步" class="c1" target="_blank">同步</a> <a href="/tags/52/" title="减法" class="c1" target="_blank">减法</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/896/" title="根式" class="c1" target="_blank">根式</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/50/" title="同步" class="c1" target="_blank">同步</a> <a href="/tags/52/" title="减法" class="c1" target="_blank">减法</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/896/" title="根式" class="c1" target="_blank">根式</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/50/" title="同步" class="c1" target="_blank">同步</a> <a href="/tags/52/" title="减法" class="c1" target="_blank">减法</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/896/" title="根式" class="c1" target="_blank">根式</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/50/" title="同步" class="c1" target="_blank">同步</a> <a href="/tags/52/" title="减法" class="c1" target="_blank">减法</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/896/" title="根式" class="c1" target="_blank">根式</a>

8.下列各式计算正确的是( )

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/50/" title="同步" class="c1" target="_blank">同步</a> <a href="/tags/52/" title="减法" class="c1" target="_blank">减法</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/896/" title="根式" class="c1" target="_blank">根式</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/50/" title="同步" class="c1" target="_blank">同步</a> <a href="/tags/52/" title="减法" class="c1" target="_blank">减法</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/896/" title="根式" class="c1" target="_blank">根式</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/50/" title="同步" class="c1" target="_blank">同步</a> <a href="/tags/52/" title="减法" class="c1" target="_blank">减法</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/896/" title="根式" class="c1" target="_blank">根式</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/50/" title="同步" class="c1" target="_blank">同步</a> <a href="/tags/52/" title="减法" class="c1" target="_blank">减法</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/896/" title="根式" class="c1" target="_blank">根式</a>

9.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/50/" title="同步" class="c1" target="_blank">同步</a> <a href="/tags/52/" title="减法" class="c1" target="_blank">减法</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/896/" title="根式" class="c1" target="_blank">根式</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/50/" title="同步" class="c1" target="_blank">同步</a> <a href="/tags/52/" title="减法" class="c1" target="_blank">减法</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/896/" title="根式" class="c1" target="_blank">根式</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/50/" title="同步" class="c1" target="_blank">同步</a> <a href="/tags/52/" title="减法" class="c1" target="_blank">减法</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/896/" title="根式" class="c1" target="_blank">根式</a> 的值为( )

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/50/" title="同步" class="c1" target="_blank">同步</a> <a href="/tags/52/" title="减法" class="c1" target="_blank">减法</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/896/" title="根式" class="c1" target="_blank">根式</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/50/" title="同步" class="c1" target="_blank">同步</a> <a href="/tags/52/" title="减法" class="c1" target="_blank">减法</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/896/" title="根式" class="c1" target="_blank">根式</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/50/" title="同步" class="c1" target="_blank">同步</a> <a href="/tags/52/" title="减法" class="c1" target="_blank">减法</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/896/" title="根式" class="c1" target="_blank">根式</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/50/" title="同步" class="c1" target="_blank">同步</a> <a href="/tags/52/" title="减法" class="c1" target="_blank">减法</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/896/" title="根式" class="c1" target="_blank">根式</a>

10.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/50/" title="同步" class="c1" target="_blank">同步</a> <a href="/tags/52/" title="减法" class="c1" target="_blank">减法</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/896/" title="根式" class="c1" target="_blank">根式</a> 的结果是( )

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/50/" title="同步" class="c1" target="_blank">同步</a> <a href="/tags/52/" title="减法" class="c1" target="_blank">减法</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/896/" title="根式" class="c1" target="_blank">根式</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/50/" title="同步" class="c1" target="_blank">同步</a> <a href="/tags/52/" title="减法" class="c1" target="_blank">减法</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/896/" title="根式" class="c1" target="_blank">根式</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/50/" title="同步" class="c1" target="_blank">同步</a> <a href="/tags/52/" title="减法" class="c1" target="_blank">减法</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/896/" title="根式" class="c1" target="_blank">根式</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/50/" title="同步" class="c1" target="_blank">同步</a> <a href="/tags/52/" title="减法" class="c1" target="_blank">减法</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/896/" title="根式" class="c1" target="_blank">根式</a>

11.下列运算中错误的是( )

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/50/" title="同步" class="c1" target="_blank">同步</a> <a href="/tags/52/" title="减法" class="c1" target="_blank">减法</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/896/" title="根式" class="c1" target="_blank">根式</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/50/" title="同步" class="c1" target="_blank">同步</a> <a href="/tags/52/" title="减法" class="c1" target="_blank">减法</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/896/" title="根式" class="c1" target="_blank">根式</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/50/" title="同步" class="c1" target="_blank">同步</a> <a href="/tags/52/" title="减法" class="c1" target="_blank">减法</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/896/" title="根式" class="c1" target="_blank">根式</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/50/" title="同步" class="c1" target="_blank">同步</a> <a href="/tags/52/" title="减法" class="c1" target="_blank">减法</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/896/" title="根式" class="c1" target="_blank">根式</a>

三、平心静气,展示智慧

12.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/50/" title="同步" class="c1" target="_blank">同步</a> <a href="/tags/52/" title="减法" class="c1" target="_blank">减法</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/896/" title="根式" class="c1" target="_blank">根式</a>


13.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/50/" title="同步" class="c1" target="_blank">同步</a> <a href="/tags/52/" title="减法" class="c1" target="_blank">减法</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/896/" title="根式" class="c1" target="_blank">根式</a>



14.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/50/" title="同步" class="c1" target="_blank">同步</a> <a href="/tags/52/" title="减法" class="c1" target="_blank">减法</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/896/" title="根式" class="c1" target="_blank">根式</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/50/" title="同步" class="c1" target="_blank">同步</a> <a href="/tags/52/" title="减法" class="c1" target="_blank">减法</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/896/" title="根式" class="c1" target="_blank">根式</a> ,求 <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/50/" title="同步" class="c1" target="_blank">同步</a> <a href="/tags/52/" title="减法" class="c1" target="_blank">减法</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/896/" title="根式" class="c1" target="_blank">根式</a> 的值.


15.如图,长方形内有两个正方形,面积分别为42,求阴影部分的面积.

 <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/50/" title="同步" class="c1" target="_blank">同步</a> <a href="/tags/52/" title="减法" class="c1" target="_blank">减法</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/896/" title="根式" class="c1" target="_blank">根式</a>

四、拓广探索,游刃有余

16.化简求值:当 <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/50/" title="同步" class="c1" target="_blank">同步</a> <a href="/tags/52/" title="减法" class="c1" target="_blank">减法</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/896/" title="根式" class="c1" target="_blank">根式</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/50/" title="同步" class="c1" target="_blank">同步</a> <a href="/tags/52/" title="减法" class="c1" target="_blank">减法</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/896/" title="根式" class="c1" target="_blank">根式</a> 时,求 <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/50/" title="同步" class="c1" target="_blank">同步</a> <a href="/tags/52/" title="减法" class="c1" target="_blank">减法</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/896/" title="根式" class="c1" target="_blank">根式</a> 的值.




17.观察下列各式及其化简过程:

 <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/50/" title="同步" class="c1" target="_blank">同步</a> <a href="/tags/52/" title="减法" class="c1" target="_blank">减法</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/896/" title="根式" class="c1" target="_blank">根式</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/50/" title="同步" class="c1" target="_blank">同步</a> <a href="/tags/52/" title="减法" class="c1" target="_blank">减法</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/896/" title="根式" class="c1" target="_blank">根式</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/50/" title="同步" class="c1" target="_blank">同步</a> <a href="/tags/52/" title="减法" class="c1" target="_blank">减法</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/896/" title="根式" class="c1" target="_blank">根式</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/50/" title="同步" class="c1" target="_blank">同步</a> <a href="/tags/52/" title="减法" class="c1" target="_blank">减法</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/896/" title="根式" class="c1" target="_blank">根式</a>

1)按照上述两个根式的化简过程的基本思想,将 <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/50/" title="同步" class="c1" target="_blank">同步</a> <a href="/tags/52/" title="减法" class="c1" target="_blank">减法</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/896/" title="根式" class="c1" target="_blank">根式</a> 化简;

2)针对上述各式反映的规律,请你写出 <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/50/" title="同步" class="c1" target="_blank">同步</a> <a href="/tags/52/" title="减法" class="c1" target="_blank">减法</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/896/" title="根式" class="c1" target="_blank">根式</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/50/" title="同步" class="c1" target="_blank">同步</a> <a href="/tags/52/" title="减法" class="c1" target="_blank">减法</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/896/" title="根式" class="c1" target="_blank">根式</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/50/" title="同步" class="c1" target="_blank">同步</a> <a href="/tags/52/" title="减法" class="c1" target="_blank">减法</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/896/" title="根式" class="c1" target="_blank">根式</a> 之间的关系.

参考答案:

一、10 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/50/" title="同步" class="c1" target="_blank">同步</a> <a href="/tags/52/" title="减法" class="c1" target="_blank">减法</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/896/" title="根式" class="c1" target="_blank">根式</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/50/" title="同步" class="c1" target="_blank">同步</a> <a href="/tags/52/" title="减法" class="c1" target="_blank">减法</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/896/" title="根式" class="c1" target="_blank">根式</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/50/" title="同步" class="c1" target="_blank">同步</a> <a href="/tags/52/" title="减法" class="c1" target="_blank">减法</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/896/" title="根式" class="c1" target="_blank">根式</a> 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/50/" title="同步" class="c1" target="_blank">同步</a> <a href="/tags/52/" title="减法" class="c1" target="_blank">减法</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/896/" title="根式" class="c1" target="_blank">根式</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/50/" title="同步" class="c1" target="_blank">同步</a> <a href="/tags/52/" title="减法" class="c1" target="_blank">减法</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/896/" title="根式" class="c1" target="_blank">根式</a> 6 <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/50/" title="同步" class="c1" target="_blank">同步</a> <a href="/tags/52/" title="减法" class="c1" target="_blank">减法</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/896/" title="根式" class="c1" target="_blank">根式</a>

提示: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/50/" title="同步" class="c1" target="_blank">同步</a> <a href="/tags/52/" title="减法" class="c1" target="_blank">减法</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/896/" title="根式" class="c1" target="_blank">根式</a> ,所以 <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/50/" title="同步" class="c1" target="_blank">同步</a> <a href="/tags/52/" title="减法" class="c1" target="_blank">减法</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/896/" title="根式" class="c1" target="_blank">根式</a> 同号,可能 <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/50/" title="同步" class="c1" target="_blank">同步</a> <a href="/tags/52/" title="减法" class="c1" target="_blank">减法</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/896/" title="根式" class="c1" target="_blank">根式</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/50/" title="同步" class="c1" target="_blank">同步</a> <a href="/tags/52/" title="减法" class="c1" target="_blank">减法</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/896/" title="根式" class="c1" target="_blank">根式</a> ,也可能 <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/50/" title="同步" class="c1" target="_blank">同步</a> <a href="/tags/52/" title="减法" class="c1" target="_blank">减法</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/896/" title="根式" class="c1" target="_blank">根式</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/50/" title="同步" class="c1" target="_blank">同步</a> <a href="/tags/52/" title="减法" class="c1" target="_blank">减法</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/896/" title="根式" class="c1" target="_blank">根式</a> ,须分情况讨论.

二、7B 8C 9A 10A 11D

三、12 <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/50/" title="同步" class="c1" target="_blank">同步</a> <a href="/tags/52/" title="减法" class="c1" target="_blank">减法</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/896/" title="根式" class="c1" target="_blank">根式</a> 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/50/" title="同步" class="c1" target="_blank">同步</a> <a href="/tags/52/" title="减法" class="c1" target="_blank">减法</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/896/" title="根式" class="c1" target="_blank">根式</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/50/" title="同步" class="c1" target="_blank">同步</a> <a href="/tags/52/" title="减法" class="c1" target="_blank">减法</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/896/" title="根式" class="c1" target="_blank">根式</a>

提示: <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/50/" title="同步" class="c1" target="_blank">同步</a> <a href="/tags/52/" title="减法" class="c1" target="_blank">减法</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/896/" title="根式" class="c1" target="_blank">根式</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/50/" title="同步" class="c1" target="_blank">同步</a> <a href="/tags/52/" title="减法" class="c1" target="_blank">减法</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/896/" title="根式" class="c1" target="_blank">根式</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/50/" title="同步" class="c1" target="_blank">同步</a> <a href="/tags/52/" title="减法" class="c1" target="_blank">减法</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/896/" title="根式" class="c1" target="_blank">根式</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/50/" title="同步" class="c1" target="_blank">同步</a> <a href="/tags/52/" title="减法" class="c1" target="_blank">减法</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/896/" title="根式" class="c1" target="_blank">根式</a>

提示:小长方形的长为2,宽为 <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/50/" title="同步" class="c1" target="_blank">同步</a> <a href="/tags/52/" title="减法" class="c1" target="_blank">减法</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/896/" title="根式" class="c1" target="_blank">根式</a> ,所以阴影部分的面积为 <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/50/" title="同步" class="c1" target="_blank">同步</a> <a href="/tags/52/" title="减法" class="c1" target="_blank">减法</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/896/" title="根式" class="c1" target="_blank">根式</a>

16.先求出 <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/50/" title="同步" class="c1" target="_blank">同步</a> <a href="/tags/52/" title="减法" class="c1" target="_blank">减法</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/896/" title="根式" class="c1" target="_blank">根式</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/50/" title="同步" class="c1" target="_blank">同步</a> <a href="/tags/52/" title="减法" class="c1" target="_blank">减法</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/896/" title="根式" class="c1" target="_blank">根式</a> ,则原式 <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/50/" title="同步" class="c1" target="_blank">同步</a> <a href="/tags/52/" title="减法" class="c1" target="_blank">减法</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/896/" title="根式" class="c1" target="_blank">根式</a>

17.(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/50/" title="同步" class="c1" target="_blank">同步</a> <a href="/tags/52/" title="减法" class="c1" target="_blank">减法</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/896/" title="根式" class="c1" target="_blank">根式</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/50/" title="同步" class="c1" target="_blank">同步</a> <a href="/tags/52/" title="减法" class="c1" target="_blank">减法</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/896/" title="根式" class="c1" target="_blank">根式</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/50/" title="同步" class="c1" target="_blank">同步</a> <a href="/tags/52/" title="减法" class="c1" target="_blank">减法</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/896/" title="根式" class="c1" target="_blank">根式</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/50/" title="同步" class="c1" target="_blank">同步</a> <a href="/tags/52/" title="减法" class="c1" target="_blank">减法</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/896/" title="根式" class="c1" target="_blank">根式</a>


3