已知函数
,其中实数
.
(1)若
,求曲线
在点
处的切线方程;
(2)若
在
处取得极值,试求
的单调区间.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/eaf6c18a7c338ed1077a971c2e8ac66d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c400a615a16a1662de98dfb4e49d58d3.png)
(1)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f22a4a0dd7307a1323d25331e60782d8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/51c530f4b7491b95acb8ce3eef9aa09d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/68c6b6a11760d0724b0b60e55970e229.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9b384412acba251d87902ab928902f16.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
10-11高二下·北京·期中 查看更多[1]
(已下线)2010-2011学年北京师大附中高二下学期期中考试文科数学
更新时间:2016-11-30 23:50:37
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相似题推荐
解答题-问答题
|
适中
(0.65)
【推荐1】已知曲线
在点
处的切线与曲线的另外一个交点为
,
为线段
的中点,
为坐标原点.
(1)求
的极小值并讨论
的奇偶性.
(2)当函数
为奇函数时,直线
的斜率记为
,若
,求实数
的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bc837d5b1bf074c70ab617685ca98147.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6071a130f2e0f009db9b2156d4136d81.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7f9e8449aad35c5d840a3395ea86df6d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f52a58fbaf4fea03567e88a9f0f6e37e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1dde8112e8eb968fd042418dd632759e.png)
(1)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
(2)当函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/abd13974aebe38eb2a1d744a01ea5aa5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f0a532e15e232cb4b99a8d4d07c89575.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2f21082c0a3fe7ae8b76fd679dddef92.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294f5ba74cdf695fc9a8a8e52f421328.png)
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解答题-问答题
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适中
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名校
【推荐2】已知函数
,且
.
(1)求
的值;
(2)设
,求
过点
的切线方程.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/943a242d6ce482c560363fc682b83342.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8a1efaf5e320363593c36059a87dd3b0.png)
(1)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
(2)设
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/16180a0fb076d284752ecb20c0dc5aad.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6a1cfb60420ff7e72c1b9d64f69ae063.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/53a948d2f7732d7f03e986c63712089b.png)
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解答题-证明题
|
适中
(0.65)
【推荐1】已知
.
(1)讨论
的单调性;
(2) 若
,![](https://staticzujuan.xkw.com/quesimg/Upload/formula/aec19b68e3add9d5bfcc6269a1855b87.png)
为
的两个极值点,求证:
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/654d717cf95197d31c2e0d1128f94954.png)
(1)讨论
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
(2) 若
![](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/26f3560f0c5eedffa5ce38fde2db28c3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b6dfa36732446ecf38c6ce73703523ca.png)
您最近一年使用:0次
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适中
(0.65)
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【推荐2】已知函数
(
).
(1)求函数
的单调增区间;
(2)若函数
在区间
上的最大值为26,求
的值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fb0f10aca66ad840fc2f0012558c548e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e1e69392d21261afd8e5e5f096634669.png)
(1)求函数
![](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/8254a9fe09d5e3940ad8c1c1c62c105c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
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解题方法
【推荐1】已知函数
在
处取得极大值.
(1)求
的值;
(2)求
在区间
上的最大值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b38a55b75aeaee4911d8e0774276014f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9b384412acba251d87902ab928902f16.png)
(1)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
(2)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8352e6942f754c601c8abbe7212661d2.png)
您最近一年使用:0次
解答题-问答题
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适中
(0.65)
名校
【推荐2】记
,其中
,已知
是函数
的极值点.
(1)求实数a的值;
(2)
的表达式展开可以得到
,求
的值.
(3)设函数
定义域为R,且函数
和函数
都是偶函数,若
,求
的值
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/92b901acae2a5949cd177ad339ca96fd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/10bbdef421c976962a270a2beabbad91.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9b384412acba251d87902ab928902f16.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/942c2141d01bde6b48210c56a17fc75e.png)
(1)求实数a的值;
(2)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/48ff6618568a91b92363ec35ecb8409f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ad7bb64e401243a01e88407b376b9d24.png)
(3)设函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1938c093dd2fbcb752d0eb7a18d143b2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a9e6cc181a815a1a1e9b7e4bb9a65490.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7d02059613da3797ae406925b6ee5b3c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ae66ea2971f759345e18b65570b0e009.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fb553fdd94fc9bed87022f72d97d6880.png)
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