21-22高一·湖南·课后作业
1 . 对下列含有量词的命题作否定,并判断其真假.
(1)
:
,
;
(2)
:所有能被2整除的数都是偶数;
(3)
:存在
,使得
;
(4)
:
,
.
(1)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b1010846eeec6c9da29640f5aa3f8738.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2c4291d9e7ae21633c02d83dd804dfac.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5306300d3626da0edd4d92250bb08085.png)
(2)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b1010846eeec6c9da29640f5aa3f8738.png)
(3)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b1010846eeec6c9da29640f5aa3f8738.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/070054c0b4182ab7399ed56925844e93.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/df62f80ddca67284233c37c026e4c820.png)
(4)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b1010846eeec6c9da29640f5aa3f8738.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cac061e46cee6c6dd4701840f847fb8f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f6cb36e866e472073d950c221d138230.png)
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21-22高一·湖南·课后作业
2 . 对下列含有量词的命题作否定,并判断其真假.
(1)存在某个整数
,使得
;
(2)任意实数都可以写成平方和的形式;
(3)每个能被写成两个奇数之和的整数都是偶数;
(4)
,方程
有实数根;
(5)
,方程
有实数根.
(1)存在某个整数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e00ff8ec1133d7bd81fbc2d963d415de.png)
(2)任意实数都可以写成平方和的形式;
(3)每个能被写成两个奇数之和的整数都是偶数;
(4)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d7291c3444d436ee17295ce6b829c72c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8ac671e6d87de2fb5f7ad3aab582866d.png)
(5)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/756cd04fb04459ef15b1d37c9bb88e9a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/437bceb596deddba816acf6e44e2d2ee.png)
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21-22高一·湖南·课后作业
3 . 对下列含有量词的命题作否定,并判断其真假:
(1)
,
;
(2)
,
;
(3)
,
;
(4)
,
;
(5)任意三角形都有内切圆;
(6)任意两个直角三角形都是相似三角形.
(1)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4ad5fe274cfc8da2dacfb65801f344ac.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/40dc0edad8fc6bc6b1fa560bbb16c7fa.png)
(2)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c1b0c2f97358499bb0c6801e4d97d9f3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cdbf50b34d559607dc5a75c90a72e558.png)
(3)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8ccd7af9298cd5ff19d8866fedb42ec4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7d953c3939039f466521209832091677.png)
(4)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cbca941d8e2c4ce541371255403ca111.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d4302b54cd484528a54cab74b792750a.png)
(5)任意三角形都有内切圆;
(6)任意两个直角三角形都是相似三角形.
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