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【333272】9.3 第2课时 一元一次不等式组的应用

时间:2025-02-09 10:02:16 作者: 字数:2120字
简介:

*2课时 一元一次不等式组的应用

一、填空:(每格3分,共30)

1已知 <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> 是关于 <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> 的一元一次不等式,那么 <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> =_______,不等式的解集是_______ .

  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> _______,代数式 <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> 的值是正数.

1、“x2倍减去 <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> 的相反数不是负数”列出不等式是 .

2、用不等号连结:若a > bc + 1 < 0 ,则 ac bc

3、写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> 的解集是 .

 <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> 的解集是 .

 <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> 的解集是 .

 <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> 的解集是 .

5、满足解集为-4≤x < 3的不等式组的整数解是 .

6、不等式组-1 < x + 2 < 3的解集是 .

7、若x <1,则化简 <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> .

二、选择:(每题4分,共8)

8、不等式ax >2 a < 0)的解集是( )

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> B. <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> C. <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> D. <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>

9、下列判断错误的是( )

  1. 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> 的解集是-1< x < 6 B. 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1

C. a > b,则不等式组 <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> 无解 D. a > b,则 ac2 > bc2

11.若代数式 <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> 的值不大于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> 的取值范围是( )

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> B. <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> C. <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> D. <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>

16.如果 <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> 那么 <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> 的取值范围是( )

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> B. <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> C. <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> D. <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>

三、解不等式组:(每格8分,共32)

10 <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> 11 <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>




12 <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> 13 <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> (并求出最小整数解)





四、解答题:(每格10分,共30)

14、求同时满足 <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> 的整数解.






15、当 <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> 的解在13之间?






21.某旅游团有48人到某宾馆住宿,若全安排住宾馆的底层,每间住4,房间不够;每间住5,有一个房间没有住满5.问该宾馆底层有客房多少间?10分)








16、秋游活动中,某班学生组织划船活动,码头还剩下的船全部租下,如果每船坐6人,就余下18人,如果每船坐10人,最后一船不空也不满,试求该班有多少人和租了几条船?