1 . 已知实数
,函数
.
(1)当
时,求不等式
的解集;
(2)当
时,求
在区间
上的值域;
(3)求实数
的范围,使得对于区间
上任意三个实数
,都存在以
为边长的三角形.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/94440d3e4c073f94f2b266ff99d50e74.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bce5431edbf9bd238dfe9a2e33848f30.png)
(1)当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3b4d795709b0abcf47bceec2250f2f9b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c2c35609e753bc89706364a7b7655178.png)
(2)当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0b550ee821ee1838384835e81fc34b67.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/497199a00f177af4c593e0e715be97f1.png)
(3)求实数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/96d8ac7cb907ec1ca9b5caee0c3e4ed6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/14c5fe8a9ad42e52a8a40242865c6752.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ffb5683c09a9ca563eb95de363974ef5.png)
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名校
2 . 设两实数
不相等且均不为
.若函数
在
时,函数值
的取值区间恰为
,就称区间
为
的一个“倒域区间”.已知函数
.
(1)求函数
在
内的“倒域区间”;
(2)若函数
在定义域
内所有“倒域区间”的图象作为函数
的图象,是否存在实数
,使得
与
恰好有2个公共点?若存在,求出
的取值范围:若不存在,请说明理由.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/632244ea6931507f8656e1cc3437d392.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c95b6be4554f03bf496092f1acdfbb89.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/942c2141d01bde6b48210c56a17fc75e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e207cf62e3a7e282eac4c4a3455bbf9a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d053b14c8588eee2acbbe44fc37a6886.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4d8f242c69dfbcdf4320422b490367cc.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f030c36bb8786df88d401792062a4100.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d3d4522656e326cc97f8633393caf3c8.png)
(1)求函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4669810732b633b60dbeaf0bf57204f6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b6c1756b564bf1d998d8179637011c88.png)
(2)若函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4669810732b633b60dbeaf0bf57204f6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4ead3fdcb8fe8f5eb3dbe7d96cabc28b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f786a5701dc1a8a015e8843c3360151b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294f5ba74cdf695fc9a8a8e52f421328.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f786a5701dc1a8a015e8843c3360151b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/54fa487d0a0d58ffeae69ccb102c5343.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294f5ba74cdf695fc9a8a8e52f421328.png)
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2019-12-05更新
|
1204次组卷
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3卷引用:重庆市第八中学2018-2019学年高一上学期期末数学试题
名校
3 . 如图所示,将一块直角三角形木板
置于平面直角坐标系中,已知
,点
是三角形木板内一点,现因三角形木板中阴影部分受到损坏,要把损坏部分锯掉,可用经过点
的任一直线
将三角形木板锯成
.设直线
的斜率为
.
![](https://img.xkw.com/dksih/QBM/2017/9/13/1773078348070912/1774098948423680/STEM/503f3c61625043379278d9c666ef7043.png?resizew=172)
(Ⅰ)求点
的坐标及直线
的斜率
的范围;
(Ⅱ)令
的面积为
,试求出
的取值范围;
(Ⅲ)令(Ⅱ)中
的取值范围为集合
,若
对
恒成立,求
的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dc83f34b5a3c1dc09d990ce4bdc8e078.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8f0ebb89b7d83c0a4d1104e0107530d7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6b5f75b19aa58ff52f47217a6882505d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411461db15ee8086332c531e086c40c7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/98013a5042685a1db94249e70c62c09a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411461db15ee8086332c531e086c40c7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f0a532e15e232cb4b99a8d4d07c89575.png)
![](https://img.xkw.com/dksih/QBM/2017/9/13/1773078348070912/1774098948423680/STEM/503f3c61625043379278d9c666ef7043.png?resizew=172)
(Ⅰ)求点
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7789a500686c7a73770404ead6af0590.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411461db15ee8086332c531e086c40c7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f0a532e15e232cb4b99a8d4d07c89575.png)
(Ⅱ)令
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/98013a5042685a1db94249e70c62c09a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cf231f8f86fb922df4ca0c87f044cec3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cf231f8f86fb922df4ca0c87f044cec3.png)
(Ⅲ)令(Ⅱ)中
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cf231f8f86fb922df4ca0c87f044cec3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8455657dde27aabe6adb7b188e031c11.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4be75fb2da563f2174921ef038acae85.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/839769901ce89e982e0ae7e836edee1f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294f5ba74cdf695fc9a8a8e52f421328.png)
您最近一年使用:0次
2017-09-14更新
|
2026次组卷
|
2卷引用:湖北省襄阳市第四中学2017-2018学年高二上学期第一次月考数学试题
名校
4 . 已知函数
(
)在其定义域内有两个不同的极值点.
(I)求a的取值范围;
(II)记两个极值点分别为
,且
.已知
,若不等式
恒成立,求
的范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8e5124251b521fb2525f55b99ee9ff6f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e1e69392d21261afd8e5e5f096634669.png)
(I)求a的取值范围;
(II)记两个极值点分别为
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8ce7ae90d808f05e86ea063238e4b2f9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/26d8dafc71b106f39f4e15442220897b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3be362dec96173f246ff747264007817.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5a5def2e680848aaf69b5a8c0f50ce05.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/df64046e91b047037f19e4032e3b6de3.png)
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2016-12-04更新
|
783次组卷
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10卷引用:2015-2016学年湖南长郡中学高二下第一次检测理数学卷