名校
1 . 写出下列命题的否定,并判断其真假:
(1)
,方程
必有实根;
(2)
,使得
.
(1)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a44bef5e2df41b92f8aa7319710f79de.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8ac671e6d87de2fb5f7ad3aab582866d.png)
(2)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/eaa0583842bff0b9ac0a539656f88099.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e3ef6ac3a5f1358143e94eb31f6687d2.png)
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2 . 写出下列全称(存在量词)命题的否定:
(1)
,
;
(2)
,
;
(3)存在一个实数,它的绝对值不是正数;
(4)所有的矩形都是正方形.
(1)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8645952ea14b25443f411d39bdec641e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/412fb8eef3b94bcaa718f944d53852af.png)
(2)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d96b743603ab1c10330622f16db78dbe.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2a7fbdd49b17c2e858b4577bb84e401f.png)
(3)存在一个实数,它的绝对值不是正数;
(4)所有的矩形都是正方形.
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3 . 判断下列存在量词命题的真假:
(1)
;
(2)
;
(3)设
是平面上不在同一直线上的三点,在该平面上存在某个点
,使得
.
(1)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b13bf9417afd9a3a568ade8d1e01f6d5.png)
(2)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5bffd9bcf67ae8e37be46f29a573792f.png)
(3)设
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/24e0c10fb103930eabd5fa18e8f9bb06.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/30fc65a72853bd8ac1ad0828270d3baf.png)
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名校
4 . 写出下列命题的否定,并判断其真假:
(1)
;
(2)p:有些三角形的三条边相等;
(3)p:菱形的对角线互相垂直;
(4)
.
(1)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a987ea219a08d4765f70e65b3362f7b9.png)
(2)p:有些三角形的三条边相等;
(3)p:菱形的对角线互相垂直;
(4)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/23537fe10207db7b2824c9facc41abd3.png)
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5 . 写出下列含量词命题的否定:
(1)
每一个素数都是奇数;
(2)
所有二次函数的图象都是轴对称图形;
(3)
;
(4)
有的三角形的垂心在其外部;
(5)
有一个小于210的正整数至少有4个质因数.
(1)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/51441c8788ff11be766766227793246d.png)
(2)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ce20ef9c08e82df8c7f45bac6dd31d36.png)
(3)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/70edb5fbb4ab94ffed70f69fbf86d2d6.png)
(4)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/853bd348db38586386c3cfaf9edfde6c.png)
(5)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/aada55745ce663ada46f9c8a46ae7e7a.png)
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6 . 已知命题
:存在
,
.
(1)命题
的否定为________;
(2)若命题
是真命题,则实数
的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b1010846eeec6c9da29640f5aa3f8738.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/eb63478132d4c1fef3c17e591919da83.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e99aaea5595db1e5a12c8a1113cfffe4.png)
(1)命题
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b1010846eeec6c9da29640f5aa3f8738.png)
(2)若命题
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b1010846eeec6c9da29640f5aa3f8738.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
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2023高一·上海·专题练习
7 . 写出下列命题的否定:
(1)
且
;
(2)
的解是
或
;
(3)梯形的对角线相等;
(4)存在一个四边形没有外接圆;
(1)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/224d896999224ff4ec5074ebeb83b885.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3575b6eb8c5d4c5a66abbf94d8e50bec.png)
(2)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8034dddd265a186e29172623e3b9eadf.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e55aa0a20848c37c1892c567b2315e04.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ef00713e73b8357cc7900144f5505bc6.png)
(3)梯形的对角线相等;
(4)存在一个四边形没有外接圆;
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2023高一·江苏·专题练习
8 . 已知命题
,若p的否定为假命题,求实数m的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b423a2f622c35390426b27c3c744c9ec.png)
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2023高一·江苏·专题练习
9 . 写出下列命题的否定,并判断所得命题的真假性.
(1)
,
;
(2)每一个平行四边形都是中心对称图形;
(3)
,
;
(4)
,
.
(1)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c4dbe9afeae563561806eac216ee841f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/efee86e465f6092293c8e3b8cedc4de5.png)
(2)每一个平行四边形都是中心对称图形;
(3)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8ccd7af9298cd5ff19d8866fedb42ec4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9064a630efb47422dfe8cafaeab18728.png)
(4)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8ccd7af9298cd5ff19d8866fedb42ec4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/01199e52ea8ed44a69b8dd76e3567704.png)
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名校
解题方法
10 . (1)已知命题
.若命题
为假命题时,求实数
的取值范围;
(2)已知实数
,试比较
的大小.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0987063625fc1958f212bcf76b7de506.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b1010846eeec6c9da29640f5aa3f8738.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
(2)已知实数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6681cdeb1cd69343c3c47188e88c04c4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/632244ea6931507f8656e1cc3437d392.png)
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