已知曲线
在点(0,
)处的切线斜率为
.
(1)求
的极值;
(2)设
,若
在
上是增函数,求实数k的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fe9d649c5bb0f16ff1fdd69a89a7fa78.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/19dc41206c29165d99c7327afc474bdc.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3a848020a0d6420af76ec7bbadc9cdf5.png)
(1)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
(2)设
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c14f11d5df3ece65c11887cb31842113.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4669810732b633b60dbeaf0bf57204f6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c0eb4e0fbb11ccccefc38f49668cc040.png)
2018高二下·全国·专题练习 查看更多[1]
(已下线)2017-2018学年度下学期高二数学期末备考总动员B卷文科02
更新时间:2018-06-26 14:41:46
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解题方法
【推荐1】已知函数
,
.
(1)若直线
是曲线
的切线,求
的最小值;
(2)设
,若函数
有两个极值点
与
,且
,证明
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2f369fcd1d4b3a8ea3745429ec8c0d29.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/360ff131c51a4ef6745538c18cec92c2.png)
(1)若直线
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9bd8376c6de9ed26d96c094a189e02cf.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/51c530f4b7491b95acb8ce3eef9aa09d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7f9f15de6de27aaa8c894ae93e8d8015.png)
(2)设
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5a3c442579603164f3fc19458677d307.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c814128ea2139e33db94ea590e7c2223.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/aec19b68e3add9d5bfcc6269a1855b87.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/26d8dafc71b106f39f4e15442220897b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b2af622d8e8d76b3b0c381eeebc1b33f.png)
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【推荐2】已知函数
在点
处的切线方程为
.
(I)求
,
的值及函数
的极值;
(Ⅱ)若
且
对任意的
恒成立,求
的最大值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b3e788a6c5634b977d7306f99292ca0d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2e131b589e93d16f2ed5688fd4fe814d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8e94419740437be835fd30f6074747e1.png)
(I)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2c94bb12cee76221e13f9ef955b0aab1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
(Ⅱ)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d0d4999a846dafaf3fe0ef8708633b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9d4a37b92933132ef1773bec6d930655.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0fde64f4d3c38e43fbdee24eadc4b0dd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294f5ba74cdf695fc9a8a8e52f421328.png)
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【推荐1】已知函数
.
(1)当
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处的切线方程;
(2)若
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上单调递增,求实数
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(3)当
时,试写出方程
根的个数.(只需写出结论)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/46bcd0f4113ba5b6413dd860a2af441a.png)
(1)当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0b550ee821ee1838384835e81fc34b67.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/51c530f4b7491b95acb8ce3eef9aa09d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1537147cb92d7be0f9d3086ec5e01074.png)
(2)若
![](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/0a6936d370d6a238a608ca56f87198de.png)
(3)当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6b108ab31cc093f03cf48ad65429889e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/907e4ba6d5f2eea68442def1911957fe.png)
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【推荐2】已知函数
,![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7bea7a805e0a1ce06fc4823a190034fd.png)
(1)求
的极值;
(2)若
时,
与
的单调性相同,求
的取值范围;
(3)当
时,函数
,
有最小值,记
的最小值为
,证明:
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/50a21593d2a9e70cb358fa4e8d5910e7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7bea7a805e0a1ce06fc4823a190034fd.png)
(1)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7a6330540758a21f46fc7a6d1e6328d8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4669810732b633b60dbeaf0bf57204f6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
(3)当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1a08c32fa8de199d291d19cdf6fc5ae1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1938c093dd2fbcb752d0eb7a18d143b2.png)
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【推荐1】已知函数
.
(1)求
的极值;
(2)证明:
时,![](https://staticzujuan.xkw.com/quesimg/Upload/formula/08a6cfd9baa225413da19dda3bcbec93.png)
(3)若函数
有且只有三个不同的零点,分别记为
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的最大值是
,证明:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/595d5671c9bc42f470dbed945c294197.png)
(1)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
(2)证明:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fd876a2ed79c64bacc3e64b8ee92735e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/08a6cfd9baa225413da19dda3bcbec93.png)
(3)若函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e15884ba8957cab8868422a174a197d5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/05b8ec9d4206ea66a02de5c4a1e1e911.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e1310a7a80d1f8751a3f8cafe7f8c8b4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/94bcf5e2aead93fe64b8210736492401.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5ded4a47543a89c17be98722ed14e71b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6b6c99ddbcaffe1156882928134aec5a.png)
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【推荐2】设函数
.
(1)当
时,求
的极值;
(2)当
时,证明:
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9efaf6cef2eb5152f1b32cbe6eaf8f4b.png)
(1)当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e65397f11ea8af736f38debadf420c4a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
(2)当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0b550ee821ee1838384835e81fc34b67.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/95849886ef15c473a6028252d37ca631.png)
您最近一年使用:0次
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解题方法
【推荐3】已知曲线
与
轴交于点
,曲线在点
处的切线方程为
,且
.
(1)求
的解析式;
(2)求函数
的极值;
(3)设
,若存在实数
,
,使
成立,求实数
的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c6ebe6a84628dabce5e33915ebf4e922.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/942c2141d01bde6b48210c56a17fc75e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2ed670b1f668778c6243f3f7470ee7d2.png)
(1)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/942c2141d01bde6b48210c56a17fc75e.png)
(2)求函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4dbf0e4c6778c36cf9408dd0c5158889.png)
(3)设
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/44e27563a636450f7f6b0c3f30fbb934.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/25db178c590b82807ba7de0f4b003383.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cbd6ead8ded85655ce9c92d49f142c84.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2015b2471ae8ce4db6204fa0c3b030e2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
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