12-13高三上·重庆南川·期中
1 . 已知函数
,命题
在区间
上的最小值为
命题
方程
的两根
满足
若命题
与命题
中有且只有一个真命题,求实数
的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/048241c5ca66bbe95476e589e888d30a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3004209de1fefc376c597afbe850ec57.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6cc808d645aeebee1376898909a012ee.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/71503bc3c95a061950f7fcf7539f6845.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ba61bb1a5f689b6f247d2c01d35e1c6c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7add49a49ed66fa00cbb2f73622a6a39.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/760effa3c34aefb5d6bbd0e7ca0d48fd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0121fa9613f186976846896d4957709b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/acc290b44635265137fdf13146b6a6d9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
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11-12高三上·湖北·期中
2 . 已知函数
,
,用
表示
中的较大者,若
,且
,
.
(Ⅰ)求实数
的值及函数
的解析式;
(Ⅱ)已知
,若
时,不等式
恒成立,求
的最大值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/afbfbd616ec588337dec23d26e4dc44a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e69c4b5ffc3f06feea3602647c797a6d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/64220cdfb79f9cd201e82476aa1698cd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b811258cf334eaace4a08ca8ea58ff5d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/125475f625e9b3709f1f9c657cb59074.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cc11aca7323cf59bfa48c434bf134576.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/eb20d7682380444a5327dadebdf25f19.png)
(Ⅰ)求实数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b811258cf334eaace4a08ca8ea58ff5d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
(Ⅱ)已知
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/99ce0b10c56eea69db5c1fd301fa639c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7c95e97a764b65a24ddbd38ab36e8106.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0b7554a9e13f55cf31f38dab76c52ddc.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294f5ba74cdf695fc9a8a8e52f421328.png)
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12-13高三上·上海·期中
3 . 已知函数
.
(1)当不等式
的解集为
时,求实数
的值;
(2)若
,且函数
在区间
上的最小值是
,求实数
的值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6db3e6117225673997bf42a5dc1ab55a.png)
(1)当不等式
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f0a1b1fdcdde97a8c9e9339b2f33c5d8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/60866c4aabfb0611541fbb236fcc89c0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7e676f49304c874f9e48acd8b22e194b.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bcbafa9d06b887b6ade3efb9122760a3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d479a86a1711709b2d100fe4daf3e7cf.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/422f50cbfa9dafb8fafeadd8a5f81aeb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a44986287ed599f86a23cfffe788cc76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
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11-12高三上·陕西·期中
4 . 已知不等式
的解集为![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8804561913317d69586d073eccd97b5e.png)
(Ⅰ)求实数
、
的值;
(Ⅱ)若函数
在区间
的值恒小于1,求
的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/66c45aa637f32d223abaa22ccef8cc93.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8804561913317d69586d073eccd97b5e.png)
(Ⅰ)求实数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2c94bb12cee76221e13f9ef955b0aab1.png)
(Ⅱ)若函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e30b1ce6f9d8ba161b50ac3d61e49106.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/37deb9ee15544a37fdde056480d2f4b9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/071a7e733d466949ac935b4b8ee8d183.png)
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11-12高三上·上海·期中
5 . 已知函数
,
(1)若函数
的值域为
,求实数
的值;
(2)若函数
的递增区间为
,求实数
的值;
(3)若函数
在区间
上是增函数,求实数
的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/54348af141f4025b4535de3c24509051.png)
(1)若函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/aeb49dbba01c4ff5f686ffc8828351b2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
(2)若函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/aeb49dbba01c4ff5f686ffc8828351b2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
(3)若函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/aeb49dbba01c4ff5f686ffc8828351b2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
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