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1 . 下列命题是全称量词命题且为真命题的是( )
A.![]() |
B.![]() |
C.所有圆的圆心到其切线的距离都等于半径 |
D.对任意![]() ![]() |
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2023-10-31更新
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113次组卷
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2卷引用:云南省曲靖市会泽县实验高级中学校2023-2024学年高一上学期9月月考数学试题
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2 . 已知命题
对任意
,总有
,
是不等式
的解,则下列命题为真命题的是( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/51441c8788ff11be766766227793246d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c4166972dec0aa3e8694a44eeb941a08.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d37660096fb35820bc02bb27d58195fc.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/106a86e19ffb10da640b7bca6cd665b5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9e541ea2f855f981c96207070683d388.png)
A.![]() | B.![]() | C.![]() | D.![]() |
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3 . 判断下列全称量词命题的真假,并说明理由.
(1)
时,则
;
(2)任意一个实数乘以
都等于它的相反数;
(3)对任意实数
,
,
,关于
的方程
都有两个实数解.
(1)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/60c044c384b993788b25e254b768a701.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e8f91800665d772fa23d5168954fa0c1.png)
(2)任意一个实数乘以
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/acbc6a613224461ade69362d46550474.png)
(3)对任意实数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2c94bb12cee76221e13f9ef955b0aab1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/071a7e733d466949ac935b4b8ee8d183.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/13fa32c1e926f40a0722d106563777ef.png)
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