已知函数
.
(1)当
时,求函数
在点
处的切线方程;
(2)若
,
恒成立,求a的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a2c2aa9987fbb5d1b5d64c013e7968d2.png)
(1)当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3b4d795709b0abcf47bceec2250f2f9b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9c9f8845aa2b51c460f2d798c9f62fa3.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3add1679c27392a1a7f635723a4b36eb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a97b66e348ff02fc9e7f610d7dfeda5e.png)
23-24高三上·海南省直辖县级单位·阶段练习 查看更多[4]
海南省琼中黎族苗族自治县琼中中学2024届高三上学期9月高考全真模拟卷(一)数学试题海南省农垦中学2024届高三高考全真模拟卷(一)数学试题(已下线)阶段性检测4.1(易)(范围:高考全部内容)(已下线)考点20 导数的应用--不等式问题 2024届高考数学考点总动员
更新时间:2023-09-21 16:20:10
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【推荐1】已知函数
.
(1)求曲线
在点(
,
)处的切线方程;
(2)若
恒成立,求k的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/64bd6206ecd81eb208c9d31649019587.png)
(1)求曲线
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/942c2141d01bde6b48210c56a17fc75e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/acbc6a613224461ade69362d46550474.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a32822a106d217ffdec43557a236f786.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8bcd8430bc817d91034f8b1e020194b6.png)
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【推荐2】已知函数
.
(1)当
时,求曲线
在点
处的切线方程;
(2)若
,求a的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/89673b1eee91b100d58aed91f4023955.png)
(1)当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5c712829d60b4ea93966a5c68c24d677.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/942c2141d01bde6b48210c56a17fc75e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5828873f8369183faf71181cda5b61d2.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/436b715183b8365dfc6d4bbb256ab9a6.png)
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适中
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【推荐3】已知函数
.
(1)求曲线
在点
处的切线方程;
(2)设
,讨论函数
在
上的单调性;
(3)证明:
在
上存在唯一的极大值点.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09033da1aeecdc6508fae3016049f500.png)
(1)求曲线
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/51c530f4b7491b95acb8ce3eef9aa09d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/68c6b6a11760d0724b0b60e55970e229.png)
(2)设
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/585de67a3fc494297d375d339af6d153.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/be1ce3f01e2b6364f9a9fdaf197d5e29.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cbfe8e7fb253685e0e50bae0c5482314.png)
(3)证明:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8a23b1d54c5b212ae004bb6ddf93c9c6.png)
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【推荐1】已知函数![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6879433160cb83349d33c1ebb699ffcd.png)
(1)讨论
的单调性;
(2)若函数
,都有
,求a的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6879433160cb83349d33c1ebb699ffcd.png)
(1)讨论
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
(2)若函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5b001f9b8ab4e69090a7da5589eb6a82.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/20ff7d35402e08db25a65ad71d45fb88.png)
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【推荐2】设函数![](https://staticzujuan.xkw.com/quesimg/Upload/formula/aee8aa73c44f13e764b91242bdffba59.png)
(1)写出定义域及
的解析式
(2)设
,讨论函数
的单调性;
(3)若对任意
,恒有
成立,求实数a的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/aee8aa73c44f13e764b91242bdffba59.png)
(1)写出定义域及
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/33770cd4511e0f50f2d959ffd913e97f.png)
(2)设
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/94440d3e4c073f94f2b266ff99d50e74.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/942c2141d01bde6b48210c56a17fc75e.png)
(3)若对任意
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/047056c99b39c70fa40d3c8178e5b631.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3d752d8db8a05b3ec7312f6ac8b64a07.png)
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解题方法
【推荐3】已知函数
.
(1)当
时,求函数
在点
处的切线方程;
(2)若
,不等式
恒成立,求实数
的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8dab30315627901789f539a0eacc4ce2.png)
(1)当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b0ffecb03c47be920254c4ccffa5b222.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/95f6ed76662695d4c711be57a16c3197.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/48350c9f896c18a64f27867ca81c9be2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/22e38c541dec8fce1d26886e5ef7d21f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
您最近一年使用:0次