已知函数
有两个零点
,且
.
(1)求
的取值范围;
(2)当
时,不等式
恒成立,求
的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/876860d1870d2bf5d04f0dd5652cfa18.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8ce7ae90d808f05e86ea063238e4b2f9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/26d8dafc71b106f39f4e15442220897b.png)
(1)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294f5ba74cdf695fc9a8a8e52f421328.png)
(2)当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/093b2eeb76ffc60af437b49e9f69d283.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ec74da57fe30303c9be07f5b5950b310.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
20-21高三下·全国·阶段练习 查看更多[4]
(已下线)“超级全能生”2021届高三全国卷地区4月联考试题(甲卷)数学(理)试题(已下线)“超级全能生”2021届高三全国卷地区4月联考试题(乙卷)数学(理)试题陕西省2021届高三下学期教学质量检测(四)理科数学试题(已下线)第四章 导数专练8—双变量与极值点偏移问题(2)-2022届高三数学一轮复习
更新时间:2021-05-31 10:01:02
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困难
(0.15)
【推荐1】已知函数
,且
恒成立.
(1)求实数
的最大值;
(2)若函数
有两个零点,求实数
的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/55dc1abc472c1f8a3e0839147b3fb11e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5b666663ce3537a634a3b427b418eb62.png)
(1)求实数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
(2)若函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f1b7b6ec7510a7bab45bfaba52f0b38a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
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困难
(0.15)
名校
【推荐2】已知
(
且m为常数).
(1)讨论函数
的单调性;
(2)若对任意的
,都存在
,使得
(其中e为自然对数的底数),求实数k的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/23e0c0d423ceff1dea0b5641e7410a2f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2725a89d93c791f7a0098f4964587905.png)
(1)讨论函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
(2)若对任意的
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f713bde2a8dd31a93611d469d9f6f08d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9cc4136bd17997e11a7f8abcb19f9018.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e64a9cc745fcc3724f458d6def3b6bb0.png)
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困难
(0.15)
名校
【推荐1】已知函数
.
(1)当
时,求函数
的极值;
(2)若方程
在
上有两个不等实根,求
的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/57de4e200c759c24bd5e2a160962ea1d.png)
(1)当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bb5f421939ee855f25927e7570d82c71.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
(2)若方程
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3047d4ab078dafc06c047bcbf0a6ffaf.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d79fe3414b32bbd1190b41ed8307f905.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
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困难
(0.15)
【推荐2】已知函数
(其中
,且
),
是函数
的导函数,设
.
(1)当
时,求函数
的单调区间;
(2)若函数
在
上存在唯一的零点
,求
的值.(其中
表示不超过x的最大整数,如
,
,
.)
参考数据:
,
,
,
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1d0f6ce702a1c6e04a97615f57fd69b4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/94440d3e4c073f94f2b266ff99d50e74.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e1e69392d21261afd8e5e5f096634669.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6a4b04824a308519a61318a82aa97a05.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c1e332244bb656f81672266b5b61e304.png)
(1)当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0b550ee821ee1838384835e81fc34b67.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/be1ce3f01e2b6364f9a9fdaf197d5e29.png)
(2)若函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8938db94f49dcbe0c383fba0241bb0da.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/79b752f0f189e5d8666daea73e145dff.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/05a25ffcd4f2175085e6c93176cb10d8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a2ab85825d4a002600ca41bd3cd2ee7d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d46d26318d841b23b93a236816abfae4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/069168253cb54985671be43e60a5ff85.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8ddad22a83712f4bd0f19c73049dd096.png)
参考数据:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/35b7cfcc147916ae7eeb5d557fea945e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/25522700e456c259978a6d762e818572.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3d90807e6a0085068ae47a101b7c87d6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8db954dea085e42d5266652072a5c67c.png)
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