已知函数
.
(1)当
时,求曲线
在点
处的切线方程;
(2)若
有两个极值点
,记过两点
的直线斜率为
,是否存在
使
?若存在,求
的值;若不存在,试说明理由.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/26f1bbf403a59dabd27fea4fa107f021.png)
(1)当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e65397f11ea8af736f38debadf420c4a.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/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c9a475fec8ded321e10a6697319fb975.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0104d38409ac6961f842dac11573e4ef.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f0a532e15e232cb4b99a8d4d07c89575.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/99aafeb9067086d39946ef7b38b6102e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
更新时间:2023-11-13 19:44:08
|
相似题推荐
解答题-问答题
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适中
(0.65)
【推荐1】已知函数
.
(1)若曲线
在点
处的切线与直线
平行,求出这条切线的方程;
(2)讨论函数
的单调性.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9e71a493e76140e0aa1a14798108b530.png)
(1)若曲线
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/942c2141d01bde6b48210c56a17fc75e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5828873f8369183faf71181cda5b61d2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/667dcc9eeea033dd2a8e4607bffac1a1.png)
(2)讨论函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
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适中
(0.65)
名校
【推荐2】已知函数
.
(1)若
,求
在点
处的切线方程;
(2)若
是
的两个极值点,证明:
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7d20deaf64285f11dd3a98cdbb505a6f.png)
(1)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3b4d795709b0abcf47bceec2250f2f9b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5bea9227dd0104da58e0c40952cc87ed.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/aca579894dad67bc82cb715fd48e0d70.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/488b95b6e2bf34e0c41f506060970865.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3】已知函数
,
.
(1)求曲线
在点
处的切线方程;
(2)若对任意的
,
恒成立,求实数
的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7767c3fabe410431c5cd3231207d0719.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/eb63478132d4c1fef3c17e591919da83.png)
(1)求曲线
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/942c2141d01bde6b48210c56a17fc75e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9c9f8845aa2b51c460f2d798c9f62fa3.png)
(2)若对任意的
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/58119f48aa8860923d1f13dd78a17c62.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1868978310cef29d43e3920702256b2c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
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【推荐1】已知函数
,其导数记为
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为自然对数的底数)
(1)求函数
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.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3373c14a97d5719f0dd3d724123d96c5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6a4b04824a308519a61318a82aa97a05.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/041a7c8fc017f596542c5e6ec7d1c40b.png)
(1)求函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
(2)解方程
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/39456f6fff8fee5ffdbc8cbe52ad643b.png)
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解答题
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【推荐2】设
.
(1)若
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(2)若
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![](https://staticzujuan.xkw.com/quesimg/Upload/formula/012429b7101ba0f84e7b45598ed12db9.png)
(1)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5fac9575a5985527e283f7295fdaf72c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/274a9dc37509f01c2606fb3086a46f4f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ea70d507728e453b45ffa62e5102f70b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/870ebc2f7aabb028024894568d749934.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2c94bb12cee76221e13f9ef955b0aab1.png)
您最近一年使用:0次
解答题-问答题
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适中
(0.65)
【推荐3】已知函数
,
(
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(1)讨论函数
的极值点的个数;
(2)若函数
的图象与函数
的图象有两个不同的交点,求实数
的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f38baa86daff2b6994233a701ffc1173.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/78b056890f2b82d1941ebabde03a7644.png)
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(1)讨论函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
(2)若函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/51c530f4b7491b95acb8ce3eef9aa09d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6a1cfb60420ff7e72c1b9d64f69ae063.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
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解答题-问答题
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适中
(0.65)
【推荐1】已知函数
在
处取得极值A,函数
,其中
是自然对数的底数.
(1)求m的值,并判断A是
的最大值还是最小值;
(2)求
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![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a883c76c2212219731300298a17d303e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9b384412acba251d87902ab928902f16.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ff8fdeb4428d1b869ee4352b482dd5d1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7d218992d1942266d7208e476d0c4100.png)
(1)求m的值,并判断A是
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d8b6894e8c345a035e89ec672503a01f.png)
(2)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/93e03ad0c315806342d6cd732a0b91a3.png)
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适中
(0.65)
名校
【推荐2】已知函数
在
处取得极值
.
(1)求a,b的值;
(2)求
在
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![](https://staticzujuan.xkw.com/quesimg/Upload/formula/de7a0ca365c29112482f3caa626cd578.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e55aa0a20848c37c1892c567b2315e04.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4a94acdfb41489d5694b5a64b9e99754.png)
(1)求a,b的值;
(2)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8254a9fe09d5e3940ad8c1c1c62c105c.png)
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解题方法
【推荐3】已知曲线
在点
处的切线的斜率为3,且当
时,函数
取得极值.
(1)求函数
的解析式;
(2)求函数
在
上的极值和最小值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4711997cd5c4bfa4ecdd9c219a166701.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b5c887da0c850acf41ab249cc262ae39.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e55aa0a20848c37c1892c567b2315e04.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d8b6894e8c345a035e89ec672503a01f.png)
(1)求函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d8b6894e8c345a035e89ec672503a01f.png)
(2)求函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d8b6894e8c345a035e89ec672503a01f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d19130ab26685fff62362378e6c5c3c6.png)
您最近一年使用:0次