把下列命题写成“若p,则q”的形式,并写出它的逆命题、否命题与逆否命题.
当
时,
;
当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/707ea658f3a9359f5740d5aab48f7948.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/08587591cfb5275dc14d5bb66a397e93.png)
更新时间:2020-10-01 11:18:49
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【推荐1】已知命题:若m>2,则方程x2+2x+3m=0无实根,写出该命题的逆命题、否命题和逆否命题,并判断真假.
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【推荐2】已知命题p:若
,则x=2且
.
(1)写出p的否命题q,并判断q的真假(不必写出判断过程);
(2)写出p的逆否命题r,并判断r的真假(不必写出判断过程).
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e775ede19395ebf0ecde516e73c63082.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/eefa44964db83759aff6fc8dd7ef8f28.png)
(1)写出p的否命题q,并判断q的真假(不必写出判断过程);
(2)写出p的逆否命题r,并判断r的真假(不必写出判断过程).
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【推荐1】写出下列命题的逆命题、否命题.
(1)两个有理数的和是有理数;
(2)
或
,则
.
(1)两个有理数的和是有理数;
(2)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4cb595535eaefe630a624adc02b713fa.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/52374559f33a0f6a2fc82790fb22fc65.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f183e0e0c43307bb4399e5e9d9a3cdd1.png)
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【推荐2】把下列命题改写成“若p,则q”的形式,并判断命题的真假.若是假命题,则写出该命题的逆命题.
(1)等腰三角形底边上的中线垂直于底边并且平分顶角;
(2)当
时,
或
;
(3)已知
,
,当
时,
,
.
(1)等腰三角形底边上的中线垂直于底边并且平分顶角;
(2)当
![](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/99c6875d552e9fff3c7d655f3a59b166.png)
(3)已知
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dd4aeb69d1402fe2d57bd5818b652646.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5ab466aedd6e176088d8dee7bc3e3aaa.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c9355031ea0b2dc9cef3777621bc6d38.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/707ea658f3a9359f5740d5aab48f7948.png)
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【推荐1】(1)已知命题:“矩形的对角线相等”,请把该命题改写成“若
,则
”的形式,并写出该命题的逆否命题,并判断逆否命题的真假;
(2)已知命题
:
,
,请写出该命题的否定,并判断其真假.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b1010846eeec6c9da29640f5aa3f8738.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9aa8a716a31b0f51b70fdf9bdb257909.png)
(2)已知命题
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b1010846eeec6c9da29640f5aa3f8738.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a0c7a319f1fb9ef4cd6bd9eb5ab0c53b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/26f0cb644cb734f63c889fa1c5d7252e.png)
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【推荐2】写出命题“若
”的逆命题、否命题、逆否命题,并判断它们的真假.
![](https://img.xkw.com/dksih/QBM/2012/2/3/1570711948722176/1570711954104320/STEM/45c05023d9a84f32b11c6f87eef8d243.png)
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