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【331108】7.1 不等式及其基本性质

时间:2025-01-21 13:38:17 作者: 字数:1312字
简介:

7.1 不等式及其基本性质

一、选择:

1 <a href="/tags/165/" title="等式" class="c1" target="_blank">等式</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/844/" title="不等式" class="c1" target="_blank">不等式</a> <a href="/tags/165/" title="等式" class="c1" target="_blank">等式</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/844/" title="不等式" class="c1" target="_blank">不等式</a> 倍减 <a href="/tags/165/" title="等式" class="c1" target="_blank">等式</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/844/" title="不等式" class="c1" target="_blank">不等式</a> 的差不大于 <a href="/tags/165/" title="等式" class="c1" target="_blank">等式</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/844/" title="不等式" class="c1" target="_blank">不等式</a> ,那么列出不等式正确的是( )

A <a href="/tags/165/" title="等式" class="c1" target="_blank">等式</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/844/" title="不等式" class="c1" target="_blank">不等式</a> B. <a href="/tags/165/" title="等式" class="c1" target="_blank">等式</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/844/" title="不等式" class="c1" target="_blank">不等式</a>

C <a href="/tags/165/" title="等式" class="c1" target="_blank">等式</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/844/" title="不等式" class="c1" target="_blank">不等式</a> D. <a href="/tags/165/" title="等式" class="c1" target="_blank">等式</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/844/" title="不等式" class="c1" target="_blank">不等式</a>

2.已知 <a href="/tags/165/" title="等式" class="c1" target="_blank">等式</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/844/" title="不等式" class="c1" target="_blank">不等式</a> ,则下列不等式正确的是( )

A <a href="/tags/165/" title="等式" class="c1" target="_blank">等式</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/844/" title="不等式" class="c1" target="_blank">不等式</a> B. <a href="/tags/165/" title="等式" class="c1" target="_blank">等式</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/844/" title="不等式" class="c1" target="_blank">不等式</a>

C. <a href="/tags/165/" title="等式" class="c1" target="_blank">等式</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/844/" title="不等式" class="c1" target="_blank">不等式</a> D. <a href="/tags/165/" title="等式" class="c1" target="_blank">等式</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/844/" title="不等式" class="c1" target="_blank">不等式</a>

3.下列说法正确的是 ( )

A. <a href="/tags/165/" title="等式" class="c1" target="_blank">等式</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/844/" title="不等式" class="c1" target="_blank">不等式</a> ,则 <a href="/tags/165/" title="等式" class="c1" target="_blank">等式</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/844/" title="不等式" class="c1" target="_blank">不等式</a> B. <a href="/tags/165/" title="等式" class="c1" target="_blank">等式</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/844/" title="不等式" class="c1" target="_blank">不等式</a> ,则 <a href="/tags/165/" title="等式" class="c1" target="_blank">等式</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/844/" title="不等式" class="c1" target="_blank">不等式</a>

C. <a href="/tags/165/" title="等式" class="c1" target="_blank">等式</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/844/" title="不等式" class="c1" target="_blank">不等式</a> ,则 <a href="/tags/165/" title="等式" class="c1" target="_blank">等式</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/844/" title="不等式" class="c1" target="_blank">不等式</a> D.若 <a href="/tags/165/" title="等式" class="c1" target="_blank">等式</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/844/" title="不等式" class="c1" target="_blank">不等式</a> ,则 <a href="/tags/165/" title="等式" class="c1" target="_blank">等式</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/844/" title="不等式" class="c1" target="_blank">不等式</a>

4.已知 <a href="/tags/165/" title="等式" class="c1" target="_blank">等式</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/844/" title="不等式" class="c1" target="_blank">不等式</a>a为任意有理数,下列式子正确的是( )

A. <a href="/tags/165/" title="等式" class="c1" target="_blank">等式</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/844/" title="不等式" class="c1" target="_blank">不等式</a> B. <a href="/tags/165/" title="等式" class="c1" target="_blank">等式</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/844/" title="不等式" class="c1" target="_blank">不等式</a>

C. <a href="/tags/165/" title="等式" class="c1" target="_blank">等式</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/844/" title="不等式" class="c1" target="_blank">不等式</a> D. <a href="/tags/165/" title="等式" class="c1" target="_blank">等式</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/844/" title="不等式" class="c1" target="_blank">不等式</a>

5.已知4>3,则下列结论正确的( )

 <a href="/tags/165/" title="等式" class="c1" target="_blank">等式</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/844/" title="不等式" class="c1" target="_blank">不等式</a> <a href="/tags/165/" title="等式" class="c1" target="_blank">等式</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/844/" title="不等式" class="c1" target="_blank">不等式</a> <a href="/tags/165/" title="等式" class="c1" target="_blank">等式</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/844/" title="不等式" class="c1" target="_blank">不等式</a>

  1. ①② B. ①③ C. ②③ D. ①②③

6.某种品牌奶粉合上标明“蛋白质 <a href="/tags/165/" title="等式" class="c1" target="_blank">等式</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/844/" title="不等式" class="c1" target="_blank">不等式</a> ”,它所表达的意思是( )

A.蛋白质的含量是20%.

B.蛋白质的含量不能是20%.

C.蛋白质大含量高于20%.

D.蛋白质的含量不低于20%.


二、填空:

7.在式子① <a href="/tags/165/" title="等式" class="c1" target="_blank">等式</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/844/" title="不等式" class="c1" target="_blank">不等式</a> <a href="/tags/165/" title="等式" class="c1" target="_blank">等式</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/844/" title="不等式" class="c1" target="_blank">不等式</a> <a href="/tags/165/" title="等式" class="c1" target="_blank">等式</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/844/" title="不等式" class="c1" target="_blank">不等式</a> <a href="/tags/165/" title="等式" class="c1" target="_blank">等式</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/844/" title="不等式" class="c1" target="_blank">不等式</a> <a href="/tags/165/" title="等式" class="c1" target="_blank">等式</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/844/" title="不等式" class="c1" target="_blank">不等式</a> <a href="/tags/165/" title="等式" class="c1" target="_blank">等式</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/844/" title="不等式" class="c1" target="_blank">不等式</a> 中属于不等式的有 .(只填序号)

8.如果 <a href="/tags/165/" title="等式" class="c1" target="_blank">等式</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/844/" title="不等式" class="c1" target="_blank">不等式</a> ,那么 <a href="/tags/165/" title="等式" class="c1" target="_blank">等式</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/844/" title="不等式" class="c1" target="_blank">不等式</a>  <a href="/tags/165/" title="等式" class="c1" target="_blank">等式</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/844/" title="不等式" class="c1" target="_blank">不等式</a> .

9. <a href="/tags/165/" title="等式" class="c1" target="_blank">等式</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/844/" title="不等式" class="c1" target="_blank">不等式</a> ,用“<”“>”填空.

 <a href="/tags/165/" title="等式" class="c1" target="_blank">等式</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/844/" title="不等式" class="c1" target="_blank">不等式</a>  <a href="/tags/165/" title="等式" class="c1" target="_blank">等式</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/844/" title="不等式" class="c1" target="_blank">不等式</a> <a href="/tags/165/" title="等式" class="c1" target="_blank">等式</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/844/" title="不等式" class="c1" target="_blank">不等式</a>  <a href="/tags/165/" title="等式" class="c1" target="_blank">等式</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/844/" title="不等式" class="c1" target="_blank">不等式</a>

 <a href="/tags/165/" title="等式" class="c1" target="_blank">等式</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/844/" title="不等式" class="c1" target="_blank">不等式</a>  <a href="/tags/165/" title="等式" class="c1" target="_blank">等式</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/844/" title="不等式" class="c1" target="_blank">不等式</a> <a href="/tags/165/" title="等式" class="c1" target="_blank">等式</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/844/" title="不等式" class="c1" target="_blank">不等式</a>  <a href="/tags/165/" title="等式" class="c1" target="_blank">等式</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/844/" title="不等式" class="c1" target="_blank">不等式</a>

 <a href="/tags/165/" title="等式" class="c1" target="_blank">等式</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/844/" title="不等式" class="c1" target="_blank">不等式</a>  <a href="/tags/165/" title="等式" class="c1" target="_blank">等式</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/844/" title="不等式" class="c1" target="_blank">不等式</a>


三、解答题:

10.用不等式表示下列句子的含义.

 <a href="/tags/165/" title="等式" class="c1" target="_blank">等式</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/844/" title="不等式" class="c1" target="_blank">不等式</a> 是非负数.



老师的年龄 <a href="/tags/165/" title="等式" class="c1" target="_blank">等式</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/844/" title="不等式" class="c1" target="_blank">不等式</a> 比赵刚的年龄 <a href="/tags/165/" title="等式" class="c1" target="_blank">等式</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/844/" title="不等式" class="c1" target="_blank">不等式</a> <a href="/tags/165/" title="等式" class="c1" target="_blank">等式</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/844/" title="不等式" class="c1" target="_blank">不等式</a> 倍还大.



 <a href="/tags/165/" title="等式" class="c1" target="_blank">等式</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/844/" title="不等式" class="c1" target="_blank">不等式</a> 的相反数是正数.



 <a href="/tags/165/" title="等式" class="c1" target="_blank">等式</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/844/" title="不等式" class="c1" target="_blank">不等式</a>  <a href="/tags/165/" title="等式" class="c1" target="_blank">等式</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/844/" title="不等式" class="c1" target="_blank">不等式</a> 倍与 <a href="/tags/165/" title="等式" class="c1" target="_blank">等式</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/844/" title="不等式" class="c1" target="_blank">不等式</a> 的差不小于 <a href="/tags/165/" title="等式" class="c1" target="_blank">等式</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/844/" title="不等式" class="c1" target="_blank">不等式</a> .