13-14高三·全国·课后作业
1 . 在命题p的四种形式(原命题、逆命题、否命题、逆否命题)中,真命题的个数记为f(p),已知命题p:“若两条直线l1:a1x+b1y+c1=0,l2:a2x+b2y+c2=0平行,则a1b2-a2b1=0”.那么f(p)=________ .
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2 . 若r(x):
,s(x):x
+mx+1>0,如果对∀x∈R,r(x)为假命题,s(x)为真命题,则m的取值范围________ .
![](https://img.xkw.com/dksih/QBM/2016/1/18/1572443208105984/1572443213709312/STEM/dffb955bef364a2dbe06fc82b46d2d01.png?resizew=106)
![](https://img.xkw.com/dksih/QBM/2016/1/18/1572443208105984/1572443213709312/STEM/d6fad56ad6504841bbcd9e5aa1106930.png?resizew=11)
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3 . 已知数列
是等比数列,命题
“若公比
,则数列
是递增数列”,则在其逆命题、否命题和逆否命题中,假命题的个数为______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/51441c8788ff11be766766227793246d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/eda6dc559d07bc22c9a0ed1e3a6d01d2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
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4 . 若r(x):
,s(x):x
+mx+1>0,如果对∀x∈R,r(x)为假命题,s(x)为真命题,则m的取值范围________ .
![](https://img.xkw.com/dksih/QBM/2016/1/18/1572443024539648/1572443029782528/STEM/7f10633587f242038927d81d2f379832.png?resizew=106)
![](https://img.xkw.com/dksih/QBM/2016/1/18/1572443024539648/1572443029782528/STEM/e2c8c5b590cb4895bf5aa1c9f2b3df6a.png?resizew=11)
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12-13高三上·广东东莞·阶段练习
5 . 已知条件
,条件
,且
的一个充分不必要条件是
,则
的取值范围是____________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/71e39c0b69d4566383a6f65531e60d74.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b87fd1befcd24bcd252f69181cd95bbd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d78e159ce943e8a60be808461aeff52a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f5bab1ff5c4a0aebb35c9b1f1f528939.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
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2020高三·全国·专题练习
6 . 已知
,
,
有意义,
关于
的不等式
.
(1)若
是真命题,则
的取值范围是_____ ;
(2)若
是
的必要不充分条件,则
的取值范围是_____ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/94440d3e4c073f94f2b266ff99d50e74.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c400a615a16a1662de98dfb4e49d58d3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/50e1422d7e6715b9009e2156a8437415.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ce20ef9c08e82df8c7f45bac6dd31d36.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/49f22280276e63880ee49894d8ddf593.png)
(1)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b1010846eeec6c9da29640f5aa3f8738.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b1010846eeec6c9da29640f5aa3f8738.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9aa8a716a31b0f51b70fdf9bdb257909.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
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