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1 . 已知p:函数f(x)=lg(ax2-2ax+1)的定义域为R;q:关于x的不等式
的解集为
.
(1)若¬p为假命题,求实数a的取值范围;
(2)若p与q至少有一个为假命题,求实数a的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fdeecd8b3de44034aa13b616c4239277.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9a837165ca03f9e4ea8964979c95e3bb.png)
(1)若¬p为假命题,求实数a的取值范围;
(2)若p与q至少有一个为假命题,求实数a的取值范围.
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2 . 已知函数
.
满足
,且
的最小值为
.
(1)求
的单调增区间;
(2)解不等式
的解集;
(3)若方程
在![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e44c45ef0334070fc149b452dee26ae5.png)
上有解,求实数m的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6fd7fb4176db1e52dd6ec7c22686d763.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ff46406cf7f298db70f81da8ea0ea4e0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e45bcd8f6ede8cc2513ad41402f40086.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7c4020b17f7ad2d5f179b3f6b01898e9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bc6abf3f9b0ebcdc47a028c781b7edb9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b1ad72d7565699d1ebb741eb0ce12bac.png)
(1)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
(2)解不等式
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9e9c599e8d420006448905acec2b8234.png)
(3)若方程
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/004b9feb796a885546f1896e20c9ab58.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e44c45ef0334070fc149b452dee26ae5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3f00f2f6ab162f9333ec55db195d663b.png)
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3 . 设函数
.
(1)求
的图像的对称轴方程;
(2)求不等式
的解集;
(3)若
在区间
上的值域为
,求实数
的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83680ed704ed9025ba95b5afccf76b59.png)
(1)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/51c530f4b7491b95acb8ce3eef9aa09d.png)
(2)求不等式
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d7b7fed58bb6d55c924336d0933f8c64.png)
(3)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/37d2d27ccbc46941f86acf7e1ab223fd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7d13d0b65cccde33e57652fc87471c1f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
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