已知函数
.
(1)当
时,求函数
的最值
(2)若函数
在区间
上是减函数,求实数a的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c6db1e82d91e51342e7f8bdc2c7162ba.png)
(1)当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0b550ee821ee1838384835e81fc34b67.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
(2)若函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/aeb49dbba01c4ff5f686ffc8828351b2.png)
20-21高三·广西柳州·开学考试 查看更多[5]
广西柳州市2021届高三摸底考试数学(文)试题(已下线)专题12 导数法巧解单调性问题-备战2022年高考数学一轮复习一网打尽之重点难点突破内蒙古乌海市第一中学2021-2022学年高三上学期第四次阶段性考试数学文科试题(已下线)专题01 利用导数研究函数单调性问题(常规问题)-【解题思路培养】2022年高考数学一轮复习解答题拿分秘籍 (全国通用版)(已下线)专题2 导数解决函数的性质-学会解题之高三数学321训练体系【2022版】
更新时间:2021-09-05 14:44:11
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名校
解题方法
【推荐1】已知函数
,![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e1e69392d21261afd8e5e5f096634669.png)
(1)若
在
上为单调减函数,求实数
取值范围;
(2)若
,求
在
上的最大值和最小值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ffec2356a5edb7142a28c5057fefee30.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e1e69392d21261afd8e5e5f096634669.png)
(1)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/383dc297b9b4dc16abd1f9920e7ebe51.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/22a688b51f4862f610d3064199aeb336.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e0f995ae0e693cf0fe631fd960014bb3.png)
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【推荐2】给出如下两个命题:命题
,
;命题
已知函数
,且对任意
,
,
,都有
.
(1)若命题
为假,求实数
的取值范围.
(2)若命题
为假,
为真,求实数
的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6e013c26331b9e64f799b56cb57a1a43.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a7e9d01ec7b2690c2804528a32a75bb7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ce20ef9c08e82df8c7f45bac6dd31d36.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81225b5900758d4621e50890cc3b4182.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c814128ea2139e33db94ea590e7c2223.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a0c58890dbb803accb289676f61d0c78.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/33bd24e647a626899a243a3f3984f90a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b0d0ad7457f0a71b6b624fab81338c1b.png)
(1)若命题
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7ffc1bb9d53a27d484396ad74d6a26e0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
(2)若命题
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c13472bf0353e16784a22e1f890fba40.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f675824e539f50cec53120959d32e554.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
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【推荐3】1.已知函数
(
).
(1)
,用定义证明
在
上单调递增;
(2)若对任意的实数
,且
,恒有
,求实数
的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/45669f6454cd57981ef2a671171e7b09.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e1e69392d21261afd8e5e5f096634669.png)
(1)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e65397f11ea8af736f38debadf420c4a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ed6d804ef44bfc64f824b0ccef71765e.png)
(2)若对任意的实数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8ce7ae90d808f05e86ea063238e4b2f9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/33bd24e647a626899a243a3f3984f90a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6889f40dcdd69d6f74eb321e0b11290a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
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【推荐1】已知函数
.
(1)求曲线
在点
处的切线方程;
(2)求函数
在
,
上的最大值和最小值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c06e66e0b9b39d18805c2d5a653b949e.png)
(1)求曲线
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/942c2141d01bde6b48210c56a17fc75e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5bea9227dd0104da58e0c40952cc87ed.png)
(2)求函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c7e6566ee14ede60fec9716ab4b57c52.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/45340678c2ec1bc8cd68c0a3a2ab8902.png)
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【推荐2】设函数![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b636844dddba5c8e2a96f34e03c7eddb.png)
(1)求函数
图象在点
处的切线方程;
(2)求函数
在
上的最大值和最小值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b636844dddba5c8e2a96f34e03c7eddb.png)
(1)求函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0eed6e87691fa0bf75f4b243a8565661.png)
(2)求函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/aa66623cf54b42d6d12be4c8edaa7071.png)
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