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【330450】初中数学青岛八下第8章测试卷

时间:2025-02-09 11:18:37 作者: 字数:12047字

单元测试卷

一、选择题

1.x=-1不是下列哪一个不等式的解(   

A. 2x+1≤-3                            <a href="/tags/4/" title="测试" class="c1" target="_blank">测试</a> <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1067/" title="青岛" class="c1" target="_blank">青岛</a> <a href="/tags/1078/" title="初中" class="c1" target="_blank">初中</a> B. 2x-1≥-3                            <a href="/tags/4/" title="测试" class="c1" target="_blank">测试</a> <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1067/" title="青岛" class="c1" target="_blank">青岛</a> <a href="/tags/1078/" title="初中" class="c1" target="_blank">初中</a> C. -2x+1≥3                            <a href="/tags/4/" title="测试" class="c1" target="_blank">测试</a> <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1067/" title="青岛" class="c1" target="_blank">青岛</a> <a href="/tags/1078/" title="初中" class="c1" target="_blank">初中</a> D. -2x-1≤3

2.如果a+b0ab0,那么(  )

A. a0b0                      <a href="/tags/4/" title="测试" class="c1" target="_blank">测试</a> <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1067/" title="青岛" class="c1" target="_blank">青岛</a> <a href="/tags/1078/" title="初中" class="c1" target="_blank">初中</a> B. a0b0                      <a href="/tags/4/" title="测试" class="c1" target="_blank">测试</a> <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1067/" title="青岛" class="c1" target="_blank">青岛</a> <a href="/tags/1078/" title="初中" class="c1" target="_blank">初中</a> C. a0b0                      <a href="/tags/4/" title="测试" class="c1" target="_blank">测试</a> <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1067/" title="青岛" class="c1" target="_blank">青岛</a> <a href="/tags/1078/" title="初中" class="c1" target="_blank">初中</a> D. a0b0

3.不等式组  <a href="/tags/4/" title="测试" class="c1" target="_blank">测试</a> <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1067/" title="青岛" class="c1" target="_blank">青岛</a> <a href="/tags/1078/" title="初中" class="c1" target="_blank">初中</a> 的解集在数轴上应表示为(  

A.  <a href="/tags/4/" title="测试" class="c1" target="_blank">测试</a> <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1067/" title="青岛" class="c1" target="_blank">青岛</a> <a href="/tags/1078/" title="初中" class="c1" target="_blank">初中</a>          B.  <a href="/tags/4/" title="测试" class="c1" target="_blank">测试</a> <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1067/" title="青岛" class="c1" target="_blank">青岛</a> <a href="/tags/1078/" title="初中" class="c1" target="_blank">初中</a>               C.  <a href="/tags/4/" title="测试" class="c1" target="_blank">测试</a> <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1067/" title="青岛" class="c1" target="_blank">青岛</a> <a href="/tags/1078/" title="初中" class="c1" target="_blank">初中</a>                  D.  <a href="/tags/4/" title="测试" class="c1" target="_blank">测试</a> <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1067/" title="青岛" class="c1" target="_blank">青岛</a> <a href="/tags/1078/" title="初中" class="c1" target="_blank">初中</a>

4.不等式x﹣2≤0的解集是(  )

A. x2                                      <a href="/tags/4/" title="测试" class="c1" target="_blank">测试</a> <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1067/" title="青岛" class="c1" target="_blank">青岛</a> <a href="/tags/1078/" title="初中" class="c1" target="_blank">初中</a> B. x2                                      <a href="/tags/4/" title="测试" class="c1" target="_blank">测试</a> <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1067/" title="青岛" class="c1" target="_blank">青岛</a> <a href="/tags/1078/" title="初中" class="c1" target="_blank">初中</a> C. x≥2                                      <a href="/tags/4/" title="测试" class="c1" target="_blank">测试</a> <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1067/" title="青岛" class="c1" target="_blank">青岛</a> <a href="/tags/1078/" title="初中" class="c1" target="_blank">初中</a> D. x≤2

5.从下列不等式中选一个与x+2≥1组成不等式组,若要使该不等式组的解集为x≥﹣1,则可以选择的不等式是(  )

A. x>﹣2                                    <a href="/tags/4/" title="测试" class="c1" target="_blank">测试</a> <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1067/" title="青岛" class="c1" target="_blank">青岛</a> <a href="/tags/1078/" title="初中" class="c1" target="_blank">初中</a> B. x0                                  <a href="/tags/4/" title="测试" class="c1" target="_blank">测试</a> <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1067/" title="青岛" class="c1" target="_blank">青岛</a> <a href="/tags/1078/" title="初中" class="c1" target="_blank">初中</a> C. x0                                  <a href="/tags/4/" title="测试" class="c1" target="_blank">测试</a> <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1067/" title="青岛" class="c1" target="_blank">青岛</a> <a href="/tags/1078/" title="初中" class="c1" target="_blank">初中</a> D. x<﹣2

6.两条纸带,较长的一条长23 cm,较短的一条长15 cm.把两条纸带剪下同样长的一段后,剩下的两条纸带中,要求较长的纸带的长度不少于较短的纸带长度的两倍,那么剪下的长度至少是(   )

A. 6 cm                                    <a href="/tags/4/" title="测试" class="c1" target="_blank">测试</a> <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1067/" title="青岛" class="c1" target="_blank">青岛</a> <a href="/tags/1078/" title="初中" class="c1" target="_blank">初中</a> B. 7 cm                                    <a href="/tags/4/" title="测试" class="c1" target="_blank">测试</a> <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1067/" title="青岛" class="c1" target="_blank">青岛</a> <a href="/tags/1078/" title="初中" class="c1" target="_blank">初中</a> C. 8 cm                                    <a href="/tags/4/" title="测试" class="c1" target="_blank">测试</a> <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1067/" title="青岛" class="c1" target="_blank">青岛</a> <a href="/tags/1078/" title="初中" class="c1" target="_blank">初中</a> D. 9 cm

7.不等式3x﹣1≤12﹣x的正整数解的个数是(  

A. 3                                            <a href="/tags/4/" title="测试" class="c1" target="_blank">测试</a> <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1067/" title="青岛" class="c1" target="_blank">青岛</a> <a href="/tags/1078/" title="初中" class="c1" target="_blank">初中</a> B. 4                                            <a href="/tags/4/" title="测试" class="c1" target="_blank">测试</a> <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1067/" title="青岛" class="c1" target="_blank">青岛</a> <a href="/tags/1078/" title="初中" class="c1" target="_blank">初中</a> C. 5                                            <a href="/tags/4/" title="测试" class="c1" target="_blank">测试</a> <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1067/" title="青岛" class="c1" target="_blank">青岛</a> <a href="/tags/1078/" title="初中" class="c1" target="_blank">初中</a> D. 6

8.函数y= <a href="/tags/4/" title="测试" class="c1" target="_blank">测试</a> <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1067/" title="青岛" class="c1" target="_blank">青岛</a> <a href="/tags/1078/" title="初中" class="c1" target="_blank">初中</a> 的自变量x的取值范围在数轴上可表示为(  )

A.  <a href="/tags/4/" title="测试" class="c1" target="_blank">测试</a> <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1067/" title="青岛" class="c1" target="_blank">青岛</a> <a href="/tags/1078/" title="初中" class="c1" target="_blank">初中</a>      B.  <a href="/tags/4/" title="测试" class="c1" target="_blank">测试</a> <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1067/" title="青岛" class="c1" target="_blank">青岛</a> <a href="/tags/1078/" title="初中" class="c1" target="_blank">初中</a>   

   C.  <a href="/tags/4/" title="测试" class="c1" target="_blank">测试</a> <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1067/" title="青岛" class="c1" target="_blank">青岛</a> <a href="/tags/1078/" title="初中" class="c1" target="_blank">初中</a>    <a href="/tags/4/" title="测试" class="c1" target="_blank">测试</a> <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1067/" title="青岛" class="c1" target="_blank">青岛</a> <a href="/tags/1078/" title="初中" class="c1" target="_blank">初中</a> D.  <a href="/tags/4/" title="测试" class="c1" target="_blank">测试</a> <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1067/" title="青岛" class="c1" target="_blank">青岛</a> <a href="/tags/1078/" title="初中" class="c1" target="_blank">初中</a>

9.在数轴上表示不等式x﹣10的解集,正确的是(  )

A.  <a href="/tags/4/" title="测试" class="c1" target="_blank">测试</a> <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1067/" title="青岛" class="c1" target="_blank">青岛</a> <a href="/tags/1078/" title="初中" class="c1" target="_blank">初中</a>                                       <a href="/tags/4/" title="测试" class="c1" target="_blank">测试</a> <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1067/" title="青岛" class="c1" target="_blank">青岛</a> <a href="/tags/1078/" title="初中" class="c1" target="_blank">初中</a> B.  <a href="/tags/4/" title="测试" class="c1" target="_blank">测试</a> <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1067/" title="青岛" class="c1" target="_blank">青岛</a> <a href="/tags/1078/" title="初中" class="c1" target="_blank">初中</a>
C.  <a href="/tags/4/" title="测试" class="c1" target="_blank">测试</a> <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1067/" title="青岛" class="c1" target="_blank">青岛</a> <a href="/tags/1078/" title="初中" class="c1" target="_blank">初中</a>                                  <a href="/tags/4/" title="测试" class="c1" target="_blank">测试</a> <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1067/" title="青岛" class="c1" target="_blank">青岛</a> <a href="/tags/1078/" title="初中" class="c1" target="_blank">初中</a> D.  <a href="/tags/4/" title="测试" class="c1" target="_blank">测试</a> <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1067/" title="青岛" class="c1" target="_blank">青岛</a> <a href="/tags/1078/" title="初中" class="c1" target="_blank">初中</a>

10.若关于x的不等式组 <a href="/tags/4/" title="测试" class="c1" target="_blank">测试</a> <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1067/" title="青岛" class="c1" target="_blank">青岛</a> <a href="/tags/1078/" title="初中" class="c1" target="_blank">初中</a> 无解,则a的取值范围为(  )

A. a4                                      <a href="/tags/4/" title="测试" class="c1" target="_blank">测试</a> <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1067/" title="青岛" class="c1" target="_blank">青岛</a> <a href="/tags/1078/" title="初中" class="c1" target="_blank">初中</a> B. a=4                                      <a href="/tags/4/" title="测试" class="c1" target="_blank">测试</a> <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1067/" title="青岛" class="c1" target="_blank">青岛</a> <a href="/tags/1078/" title="初中" class="c1" target="_blank">初中</a> C. a≤4                                      <a href="/tags/4/" title="测试" class="c1" target="_blank">测试</a> <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1067/" title="青岛" class="c1" target="_blank">青岛</a> <a href="/tags/1078/" title="初中" class="c1" target="_blank">初中</a> D. a≥4

11.不等式﹣3x+60的正整数解有(  )

A. 1个                                     <a href="/tags/4/" title="测试" class="c1" target="_blank">测试</a> <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1067/" title="青岛" class="c1" target="_blank">青岛</a> <a href="/tags/1078/" title="初中" class="c1" target="_blank">初中</a> B. 2个                                     <a href="/tags/4/" title="测试" class="c1" target="_blank">测试</a> <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1067/" title="青岛" class="c1" target="_blank">青岛</a> <a href="/tags/1078/" title="初中" class="c1" target="_blank">初中</a> C. 3个                                     <a href="/tags/4/" title="测试" class="c1" target="_blank">测试</a> <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1067/" title="青岛" class="c1" target="_blank">青岛</a> <a href="/tags/1078/" title="初中" class="c1" target="_blank">初中</a> D. 无数多个

12.已知点M1﹣2mm﹣1)在第一象限,则m的取值范围在数轴上表示正确的是(  

A.  <a href="/tags/4/" title="测试" class="c1" target="_blank">测试</a> <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1067/" title="青岛" class="c1" target="_blank">青岛</a> <a href="/tags/1078/" title="初中" class="c1" target="_blank">初中</a>           B.  <a href="/tags/4/" title="测试" class="c1" target="_blank">测试</a> <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1067/" title="青岛" class="c1" target="_blank">青岛</a> <a href="/tags/1078/" title="初中" class="c1" target="_blank">初中</a>             

C.  <a href="/tags/4/" title="测试" class="c1" target="_blank">测试</a> <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1067/" title="青岛" class="c1" target="_blank">青岛</a> <a href="/tags/1078/" title="初中" class="c1" target="_blank">初中</a>            D.  <a href="/tags/4/" title="测试" class="c1" target="_blank">测试</a> <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1067/" title="青岛" class="c1" target="_blank">青岛</a> <a href="/tags/1078/" title="初中" class="c1" target="_blank">初中</a>


二、填空题

13.a________时,(2+ax﹣75是关于x的一元一次不等式.

14.自编一个解集为x≥2的一元一次不等式组________

15.不等式x≥﹣1.5的最小整数解是​ ________

16.若代数式3x﹣1的值大于3﹣x,则x的取值范围是________

17.不等式组 <a href="/tags/4/" title="测试" class="c1" target="_blank">测试</a> <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1067/" title="青岛" class="c1" target="_blank">青岛</a> <a href="/tags/1078/" title="初中" class="c1" target="_blank">初中</a> 的最小整数解是________ 

18.已知方程|x|=ax+1有一个负根但没有正根,则a的取值范围是________

19.若点Pxy)在平面直角坐标系xOy中第四象限内的一点,且满足2x﹣y=4x+y=m,则m的取值范围是________

20.如图,数轴上表示的不等式的解________

 <a href="/tags/4/" title="测试" class="c1" target="_blank">测试</a> <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1067/" title="青岛" class="c1" target="_blank">青岛</a> <a href="/tags/1078/" title="初中" class="c1" target="_blank">初中</a>

21.一次生活常识竞赛一共有25道题,答对一题得4分,不答得0分,答错一题扣2分,小明有2题没答,竞赛成绩要超过74分,则小明至多答错________道题.

22.已知关于x的不等式组  <a href="/tags/4/" title="测试" class="c1" target="_blank">测试</a> <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1067/" title="青岛" class="c1" target="_blank">青岛</a> <a href="/tags/1078/" title="初中" class="c1" target="_blank">初中</a> 的整数解共有4个,则a的最小值为________


三、解答题

23.求不等式组  <a href="/tags/4/" title="测试" class="c1" target="_blank">测试</a> <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1067/" title="青岛" class="c1" target="_blank">青岛</a> <a href="/tags/1078/" title="初中" class="c1" target="_blank">初中</a> 的所有整数解.



24.已知不等式组 <a href="/tags/4/" title="测试" class="c1" target="_blank">测试</a> <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1067/" title="青岛" class="c1" target="_blank">青岛</a> <a href="/tags/1078/" title="初中" class="c1" target="_blank">初中</a> ,在同一条数轴上表示不等式①,②的解集如图所示,求

b﹣a的值.

 <a href="/tags/4/" title="测试" class="c1" target="_blank">测试</a> <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1067/" title="青岛" class="c1" target="_blank">青岛</a> <a href="/tags/1078/" title="初中" class="c1" target="_blank">初中</a>

25.阅读材料: 解分式不等式  <a href="/tags/4/" title="测试" class="c1" target="_blank">测试</a> <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1067/" title="青岛" class="c1" target="_blank">青岛</a> <a href="/tags/1078/" title="初中" class="c1" target="_blank">初中</a>
解:根据实数的除法法则,同号两数相除得正数,异号两数相除得负数,因此,原不等式可转化为:
①   <a href="/tags/4/" title="测试" class="c1" target="_blank">测试</a> <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1067/" title="青岛" class="c1" target="_blank">青岛</a> <a href="/tags/1078/" title="初中" class="c1" target="_blank">初中</a> ,②  <a href="/tags/4/" title="测试" class="c1" target="_blank">测试</a> <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1067/" title="青岛" class="c1" target="_blank">青岛</a> <a href="/tags/1078/" title="初中" class="c1" target="_blank">初中</a>
解不等式组①,得:x3
解不等式组②,得:x<﹣2
所以原分式不等式的解集是x3x<﹣2
请仿照上述方法解分式不等式:  <a href="/tags/4/" title="测试" class="c1" target="_blank">测试</a> <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1067/" title="青岛" class="c1" target="_blank">青岛</a> <a href="/tags/1078/" title="初中" class="c1" target="_blank">初中</a> 0





26.某超市用5000元购进一批儿童玩具进行试销,很快销售一空.于是超市又调拨18000元资金购进该种儿童玩具,这次进货价比试销时每件多1元,购进的数量是试销时购进数量的3倍.

1)求试销时该种儿童玩具每件进货价是多少元?

2)超市将第二批儿童玩具按照试销时的标价出售90%后,余下的八折售完.试销和第二批儿童玩具两次销售中,超市总盈利不少于8520元,那么该种儿童玩具试销时每件标价至少为多少元?







27.在城镇化建设中,开发商要处理A地大量的建筑垃圾,A地只能容纳1台装卸机作业,装卸机平均每6分钟可以给工程车装满一车建筑垃圾,每辆工程车要将建筑垃圾运送至20千米的B处倾倒,每次倾倒时间约为1分钟,倾倒后立即返回A地等候下一次装运,直到装运完毕;工程车的平均速度为40千米/时.

1)一辆工程车运送一趟建筑垃圾(从装车到返回)需要多少分钟?

2)至少安排多少辆工程车既能保证装卸机不空闲,又能保证工程车最少等候时间?

答案解析

一、选择题

A A B D A B A B C C A D

二、填空题

13. ≠﹣2

14.  <a href="/tags/4/" title="测试" class="c1" target="_blank">测试</a> <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1067/" title="青岛" class="c1" target="_blank">青岛</a> <a href="/tags/1078/" title="初中" class="c1" target="_blank">初中</a>

15. -1

16. x1

17. 0

18. a>﹣1

19. ﹣4m2

20. x1

21. 3

22. 2

三、解答题

23. :  <a href="/tags/4/" title="测试" class="c1" target="_blank">测试</a> <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1067/" title="青岛" class="c1" target="_blank">青岛</a> <a href="/tags/1078/" title="初中" class="c1" target="_blank">初中</a>  
解不等式①,x>-  <a href="/tags/4/" title="测试" class="c1" target="_blank">测试</a> <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1067/" title="青岛" class="c1" target="_blank">青岛</a> <a href="/tags/1078/" title="初中" class="c1" target="_blank">初中</a> ;解不等式②,x≤1,
不等式组的解集为-  <a href="/tags/4/" title="测试" class="c1" target="_blank">测试</a> <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1067/" title="青岛" class="c1" target="_blank">青岛</a> <a href="/tags/1078/" title="初中" class="c1" target="_blank">初中</a> <x≤1.
原不等式组的整数解是0,1.

24. 解:  <a href="/tags/4/" title="测试" class="c1" target="_blank">测试</a> <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1067/" title="青岛" class="c1" target="_blank">青岛</a> <a href="/tags/1078/" title="初中" class="c1" target="_blank">初中</a> 由①得,x≥﹣a﹣1
由②得,x≤b
由数轴可得,原不等式的解集是:﹣2≤x≤3
 <a href="/tags/4/" title="测试" class="c1" target="_blank">测试</a> <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1067/" title="青岛" class="c1" target="_blank">青岛</a> <a href="/tags/1078/" title="初中" class="c1" target="_blank">初中</a>
 <a href="/tags/4/" title="测试" class="c1" target="_blank">测试</a> <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1067/" title="青岛" class="c1" target="_blank">青岛</a> <a href="/tags/1078/" title="初中" class="c1" target="_blank">初中</a>
b﹣a=  <a href="/tags/4/" title="测试" class="c1" target="_blank">测试</a> <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1067/" title="青岛" class="c1" target="_blank">青岛</a> <a href="/tags/1078/" title="初中" class="c1" target="_blank">初中</a>

25. 解:原分式不等式可化为①  <a href="/tags/4/" title="测试" class="c1" target="_blank">测试</a> <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1067/" title="青岛" class="c1" target="_blank">青岛</a> <a href="/tags/1078/" title="初中" class="c1" target="_blank">初中</a> ,②  <a href="/tags/4/" title="测试" class="c1" target="_blank">测试</a> <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1067/" title="青岛" class="c1" target="_blank">青岛</a> <a href="/tags/1078/" title="初中" class="c1" target="_blank">初中</a> 不等式组①无解;
解不等式组②得,﹣1x<<  <a href="/tags/4/" title="测试" class="c1" target="_blank">测试</a> <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1067/" title="青岛" class="c1" target="_blank">青岛</a> <a href="/tags/1078/" title="初中" class="c1" target="_blank">初中</a>
故不等式组的解集为:﹣1x<<  <a href="/tags/4/" title="测试" class="c1" target="_blank">测试</a> <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1067/" title="青岛" class="c1" target="_blank">青岛</a> <a href="/tags/1078/" title="初中" class="c1" target="_blank">初中</a>

26. 1)解:设试销时该种儿童玩具每件进货价是x元.  <a href="/tags/4/" title="测试" class="c1" target="_blank">测试</a> <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1067/" title="青岛" class="c1" target="_blank">青岛</a> <a href="/tags/1078/" title="初中" class="c1" target="_blank">初中</a> =  <a href="/tags/4/" title="测试" class="c1" target="_blank">测试</a> <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1067/" title="青岛" class="c1" target="_blank">青岛</a> <a href="/tags/1078/" title="初中" class="c1" target="_blank">初中</a>
解得x=5
经检验,x=5是原分式方程的解.
答:试销时该种儿童玩具每件进货价是5
2)解:设该种儿童玩具试销时每件标价为y元. 1000y﹣5+2000×0.9y﹣6+2000×0.10.8y﹣6)≥8520
解得y≥8
答:该种儿童玩具试销时每件标价至少为8

27.1)解:6+  <a href="/tags/4/" title="测试" class="c1" target="_blank">测试</a> <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1067/" title="青岛" class="c1" target="_blank">青岛</a> <a href="/tags/1078/" title="初中" class="c1" target="_blank">初中</a> ×60+1=67(分钟) 答:一辆工程车运送一趟建筑垃圾(从装车到返回)需要67分钟.
2)解:设至少安排x辆工程车既能保证装卸机不空闲,又能保证工程车最少等候时间,由题意得 6x﹣1)≥20×2÷40×60+1
解得:x≥  <a href="/tags/4/" title="测试" class="c1" target="_blank">测试</a> <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1067/" title="青岛" class="c1" target="_blank">青岛</a> <a href="/tags/1078/" title="初中" class="c1" target="_blank">初中</a>
答:至少安排12辆工程车既能保证装卸机不空闲,又能保证工程车最少等候时间.