已知方程|x|=ax+1有一个负根而且没有正根,那么a的取值范围是( ).
A.a>-1 | B.a=1 | C.a≥1 | D.非上述答案 |
20-21七年级·全国·假期作业 查看更多[5]
(已下线)练习17 解一元一次方程(1)-2020-2021学年【补习教材·寒假作业】七年级数学(华东师大版)(已下线)专题2.15 《一元一次不等式和一元一次不等式组》重难点突破(专项练习)-2020-2021学年八年级数学下册基础知识专项讲练(北师大版)(已下线)综合复习与测试(6)(第三四章)(培优篇)(专项练习)-2022-2023学年八年级数学上册基础知识专项讲练(浙教版)(已下线)专题2.9 一元一次不等式(分层练习)(提升练)-2023-2024学年八年级数学下册基础知识专项突破讲与练(北师大版)(已下线)第11章 一元一次不等式(单元测试·拔尖卷)-2023-2024学年七年级数学下册基础知识专项突破讲与练(苏科版)
更新时间:2021-01-27 14:33:10
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名校
【推荐1】下列说法中,正确的个数是( )
①若
,则a≥0;②若|a|>|b|,则有(a+b)(a﹣b)是正数;
③A、B、C三点在数轴上对应的数分别是﹣2、6、x,若相邻两点的距离相等,则x=2;
④若代数式2x+|9﹣3x|+|1﹣x|+2011的值与x无关,则该代数式值为2021;
⑤a+b+c=0,abc<0,则
的值为±1.
①若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/78c3bfd746d8353feef9d8632cd3beda.png)
③A、B、C三点在数轴上对应的数分别是﹣2、6、x,若相邻两点的距离相等,则x=2;
④若代数式2x+|9﹣3x|+|1﹣x|+2011的值与x无关,则该代数式值为2021;
⑤a+b+c=0,abc<0,则
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/313a86d53d1e47f5afc127789bb81f8b.png)
A.1个 | B.2个 | C.3个 | D.4个 |
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【推荐2】下列说法中,错误的个数是( )
①若
|,则
;
②若
,则有
是负数;
③A、B、C三点在数轴上对应的数分别是
、
、x,若相邻两点的距离相等,则
;
④若代数式
的值与
无关,则该代数式值为
;
⑤若
,
,则
的值为
.
①若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4f1816ecb83013e18b2164bf04f5d485.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9e10e1c43b86a8cd4360ca9b57232164.png)
②若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/850f6874ea501c6021573701b0294dcb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1914b9a5c1077d37595aa47620eb7f07.png)
③A、B、C三点在数轴上对应的数分别是
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![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6f8c4c029e552954bd493b49aeab82d5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/707ea658f3a9359f5740d5aab48f7948.png)
④若代数式
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c513381d705f1d72abb7e7f0596ff3a2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9e946baf1316ac1f219398ecedadf6cf.png)
⑤若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9e56f4504e0f80fd031c8b5f41832e03.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/73c21bd0bd90a89b7ff5ac0eacf612a5.png)
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【推荐1】已知a与1的和是一个负数,则|a|=( )
A.a | B.﹣a | C.a或﹣a | D.无法确定 |
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【推荐2】实数a、b在数轴上的位置如图所示,则化简|a-b|﹣a的结果为( )
![](https://img.xkw.com/dksih/QBM/editorImg/2024/1/3/9859b5c4-0bfe-4839-8d3d-441cb2c21876.png?resizew=124)
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A.-2a+b | B.b | C.﹣2a﹣b | D.﹣b |
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解题方法
【推荐1】观察下列等式:已知:=(a﹣b)(a+b);
=(a﹣b)(
);
=(a﹣b)(
);
=(a﹣b)(
)……小明发现其中蕴含着一定的运算规律,并利用这个运算规律求出了式子“
”的值,这个值为( )
A.![]() | B.![]() | C.![]() | D.![]() |
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【推荐2】从
,
,
三个数中任意取两个数相加再减去第三个数,根据不同的选择得到三个结果
,
,
称为一次操作.下列说法:
①若
,
,
,则
,
,
三个数中最大的数是7;
②若
,
,
,且
,
,
中最小值为
,则
或9;
③给定
,
,
三个数,将第一次操作的三个结果
,
,
按上述方法再进行一次操作,得到三个结果
,
,
,以此类推,第
次操作的结果是
,
,
,则
的值为定值.其中正确的个数是( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d053b14c8588eee2acbbe44fc37a6886.png)
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①若
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![](https://staticzujuan.xkw.com/quesimg/Upload/formula/af68f652b4c13657ffddf3c9e7eb262b.png)
②若
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![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c50866229ec5a3640fb250f9bd2192b3.png)
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![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c814128ea2139e33db94ea590e7c2223.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/54015ff5b49e3283901da1291b6b921d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/af68f652b4c13657ffddf3c9e7eb262b.png)
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③给定
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A.3 | B.2 | C.1 | D.0 |
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