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【333271】9.3 第1课时 一元一次不等式组的解法

时间:2025-02-09 10:02:12 作者: 字数:1721字
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1课时 一元一次不等式组的解法

1.现有两根木条aba10 cmb3 cm.如果再找一根木条c,用这三根木条钉成一个三角形木框,那么对木条c的长度有什么要求?

可列不等式为

一元一次不等式组

类比方程组的解,我们把 ,叫做不等式组的解集。

2.我们可以利用数轴确定不等式组的解集

1 <a href="/tags/16/" title="课时" class="c1" target="_blank">课时</a> <a href="/tags/165/" title="等式" class="c1" target="_blank">等式</a> <a href="/tags/844/" title="不等式" class="c1" target="_blank">不等式</a> 组合 2 其解集为

2 <a href="/tags/16/" title="课时" class="c1" target="_blank">课时</a> <a href="/tags/165/" title="等式" class="c1" target="_blank">等式</a> <a href="/tags/844/" title="不等式" class="c1" target="_blank">不等式</a> 组合 14 其解集为

3 <a href="/tags/16/" title="课时" class="c1" target="_blank">课时</a> <a href="/tags/165/" title="等式" class="c1" target="_blank">等式</a> <a href="/tags/844/" title="不等式" class="c1" target="_blank">不等式</a> 组合 26 其解集为

4 <a href="/tags/16/" title="课时" class="c1" target="_blank">课时</a> <a href="/tags/165/" title="等式" class="c1" target="_blank">等式</a> <a href="/tags/844/" title="不等式" class="c1" target="_blank">不等式</a> 组合 38 其解集为

上面的表示可以用口诀来概括为

3.若ab,请你指出下列不等式组的解集:

 <a href="/tags/16/" title="课时" class="c1" target="_blank">课时</a> <a href="/tags/165/" title="等式" class="c1" target="_blank">等式</a> <a href="/tags/844/" title="不等式" class="c1" target="_blank">不等式</a> <a href="/tags/16/" title="课时" class="c1" target="_blank">课时</a> <a href="/tags/165/" title="等式" class="c1" target="_blank">等式</a> <a href="/tags/844/" title="不等式" class="c1" target="_blank">不等式</a> <a href="/tags/16/" title="课时" class="c1" target="_blank">课时</a> <a href="/tags/165/" title="等式" class="c1" target="_blank">等式</a> <a href="/tags/844/" title="不等式" class="c1" target="_blank">不等式</a> <a href="/tags/16/" title="课时" class="c1" target="_blank">课时</a> <a href="/tags/165/" title="等式" class="c1" target="_blank">等式</a> <a href="/tags/844/" title="不等式" class="c1" target="_blank">不等式</a>

4.不等式组 <a href="/tags/16/" title="课时" class="c1" target="_blank">课时</a> <a href="/tags/165/" title="等式" class="c1" target="_blank">等式</a> <a href="/tags/844/" title="不等式" class="c1" target="_blank">不等式</a> 的整数解是

5. 解下列不等式组(1 <a href="/tags/16/" title="课时" class="c1" target="_blank">课时</a> <a href="/tags/165/" title="等式" class="c1" target="_blank">等式</a> <a href="/tags/844/" title="不等式" class="c1" target="_blank">不等式</a>2 <a href="/tags/16/" title="课时" class="c1" target="_blank">课时</a> <a href="/tags/165/" title="等式" class="c1" target="_blank">等式</a> <a href="/tags/844/" title="不等式" class="c1" target="_blank">不等式</a>


6.在数轴上表示不等式组 <a href="/tags/16/" title="课时" class="c1" target="_blank">课时</a> <a href="/tags/165/" title="等式" class="c1" target="_blank">等式</a> <a href="/tags/844/" title="不等式" class="c1" target="_blank">不等式</a> 的解,其中正确的是( )

 <a href="/tags/16/" title="课时" class="c1" target="_blank">课时</a> <a href="/tags/165/" title="等式" class="c1" target="_blank">等式</a> <a href="/tags/844/" title="不等式" class="c1" target="_blank">不等式</a>  <a href="/tags/16/" title="课时" class="c1" target="_blank">课时</a> <a href="/tags/165/" title="等式" class="c1" target="_blank">等式</a> <a href="/tags/844/" title="不等式" class="c1" target="_blank">不等式</a>

 <a href="/tags/16/" title="课时" class="c1" target="_blank">课时</a> <a href="/tags/165/" title="等式" class="c1" target="_blank">等式</a> <a href="/tags/844/" title="不等式" class="c1" target="_blank">不等式</a>  <a href="/tags/16/" title="课时" class="c1" target="_blank">课时</a> <a href="/tags/165/" title="等式" class="c1" target="_blank">等式</a> <a href="/tags/844/" title="不等式" class="c1" target="_blank">不等式</a>

7.不等式 <a href="/tags/16/" title="课时" class="c1" target="_blank">课时</a> <a href="/tags/165/" title="等式" class="c1" target="_blank">等式</a> <a href="/tags/844/" title="不等式" class="c1" target="_blank">不等式</a> 的解集是 .

8.不等式组 <a href="/tags/16/" title="课时" class="c1" target="_blank">课时</a> <a href="/tags/165/" title="等式" class="c1" target="_blank">等式</a> <a href="/tags/844/" title="不等式" class="c1" target="_blank">不等式</a>  的整数解是( )
  A、-1,0 B、-1,1 C、0,1 D、无解

9.解下列不等式:(1 <a href="/tags/16/" title="课时" class="c1" target="_blank">课时</a> <a href="/tags/165/" title="等式" class="c1" target="_blank">等式</a> <a href="/tags/844/" title="不等式" class="c1" target="_blank">不等式</a> 2 <a href="/tags/16/" title="课时" class="c1" target="_blank">课时</a> <a href="/tags/165/" title="等式" class="c1" target="_blank">等式</a> <a href="/tags/844/" title="不等式" class="c1" target="_blank">不等式</a>


10.已知一个等腰三角形的底边长5,腰长为x,则x的取值范围是 .

11.不等式组 <a href="/tags/16/" title="课时" class="c1" target="_blank">课时</a> <a href="/tags/165/" title="等式" class="c1" target="_blank">等式</a> <a href="/tags/844/" title="不等式" class="c1" target="_blank">不等式</a> 的最小整数解是 .

12.班级组织有奖知识竞赛,小明用100元班费购买笔记本和钢笔共30件,已知笔记本每本2元,钢笔每支5元,那么小明最多能买钢笔 支。

13.解下列不等式:

1 <a href="/tags/16/" title="课时" class="c1" target="_blank">课时</a> <a href="/tags/165/" title="等式" class="c1" target="_blank">等式</a> <a href="/tags/844/" title="不等式" class="c1" target="_blank">不等式</a>2 <a href="/tags/16/" title="课时" class="c1" target="_blank">课时</a> <a href="/tags/165/" title="等式" class="c1" target="_blank">等式</a> <a href="/tags/844/" title="不等式" class="c1" target="_blank">不等式</a>








14、若方程组 <a href="/tags/16/" title="课时" class="c1" target="_blank">课时</a> <a href="/tags/165/" title="等式" class="c1" target="_blank">等式</a> <a href="/tags/844/" title="不等式" class="c1" target="_blank">不等式</a> 的解满足x1y1,求k的整数解。