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【329880】8.2 一元一次不等式

时间:2025-02-07 09:22:16 作者: 字数:2912字


8.2一元一次不等式

一、选择题

1、下列不等式中,属于一元一次不等式的是(

A41 B3x244 C <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> D4x32y7

2、与不等式 <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> 有相同解集的是(

A3x3<(4x1)-1 B3(x-3)24x1)-1

C2(x-3)32x1)-6 D3x94x4

3、不等式 <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(

Ax可取任何数 B、全体正数 C、全体负数 D、无解

4、关于x的方程5a(1x)8x(3a)x的解是负数,则a的取值范围是(

Aa<-4 Ba5 Ca>-5 Da<-5

5、若方程组 <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> 的解为xy,且xy0,则k的取值范围是(

Ak4 Bk>-4 Ck4 Dk<-4

6、不等式2x1≥3x5的正整数解的个数为(

A1 B2 C3 D4

7不等式 <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> 的负整数解有

A1 B2 C3 D4

8、若不等式(3a2x23的解集是x2,那么a必须满足(

Aa <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> Ba <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> Ca <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> Da=- <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、填空题

9、不等式10(x4)+x≥84的非正整数解是_____________

10、若 <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x的一元一次不等式,则该不等式的解集为

11、已知2R3y6,要使y是正数,则R的取值范围是_______________.

12、若关于x的不等式(2n3)x5的解集为x>- <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> ,则n

13不等式 <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/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> 的解集相同,则 <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、若关于x的不等式x1≤a有四个非负整数解,则整数a的值为

15、不等式 <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> 的非正整数解 _____.

16、当k 时,代数式 <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> (k-1)的值不小于代数式1- <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.

三、解答题

17、下面解不等式的过程是否正确,如不正确,请找出,并改正.

解不等式: <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>

解:去分母,得 <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>

去括号,得 <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>

移项,合并,得 521 ③

因为x不存在,所以原不等式无解. ④






18、解下列不等式,并把解集在数轴上表示出来:

1 <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/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>1







3 <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/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 <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








19、求不等式 <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/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> 的非负数解.






20、若关于 <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> 的方程组 <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 <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/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> ,求p的取值范围.




21、若2x1)-53x1)+4的最小整数解是方程 <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> xmx5的解,求代数式 <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.

参考答案

1B 2C 3A 4B 5B 6D 7A 8A

9x0,-1,-2,-3,-4 10x<-3

11R3 12、-6 132

142≤a3 150 16x≥ <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>

17、第④步错误,应该改成无论x取何值,该不等式总是成立的,所以x取一切数.

18、(1 <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>2x≥13x≤ <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> 4x <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> 19x0123

20p>-6 2111.