已知函数
,
.若曲线
与曲线
在
处的切线斜率相同,求
的值,并判断两条切线是否为同一条直线.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/37fbfe19b6da085fc850cf18c3ff365c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/044a3bf233cdead840370003bbbf3b54.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/942c2141d01bde6b48210c56a17fc75e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1938c093dd2fbcb752d0eb7a18d143b2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9b384412acba251d87902ab928902f16.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
2019高三·全国·专题练习 查看更多[5]
(已下线)2019高考备考一轮复习精品资料 【理】专题十三 导数的概念及其运算 押题专练(已下线)2019高考热点题型和提分秘籍 【理数】专题10 导数的概念及运算( 题型专练)(已下线)专题3.1 导数的概念及运算、定积分(精练)-2021届高考数学(理)一轮复习讲练测(已下线)专题3.1 导数的概念及运算、定积分(精测)-2021届高考数学(文)一轮复习讲练测(已下线)5.2导数的运算(2)
更新时间:2018-09-14 23:26:03
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【推荐1】已知函数
(1)当
时,求曲线
在
处的切线方程;
(2)若曲线
在
处的切线方程为
,求
的值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4c0826eec67fa342b928d40a001aa059.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/9b384412acba251d87902ab928902f16.png)
(2)若曲线
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/51c530f4b7491b95acb8ce3eef9aa09d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/707ea658f3a9359f5740d5aab48f7948.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bebb3b7f47e0decd48e64cb32aaa5903.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/632244ea6931507f8656e1cc3437d392.png)
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【推荐2】已知函数![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ad149b74adbc11d7064dfac22d519307.png)
(1)求f(x)在x=0处的切线
的方程;
(2)求函数f(x)的单调增区间.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ad149b74adbc11d7064dfac22d519307.png)
(1)求f(x)在x=0处的切线
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f85fca60a11e1af2bf50138d0e3fe62.png)
(2)求函数f(x)的单调增区间.
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【推荐3】已知函数
.
(1)当
时,求曲线
在点
处的切线方程;
(2)当
时,若曲线
在直线
的上方,求实数
的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/621148ed0a57848a6592e4f2f9fe40d1.png)
(1)当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0b550ee821ee1838384835e81fc34b67.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/942c2141d01bde6b48210c56a17fc75e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9c9f8845aa2b51c460f2d798c9f62fa3.png)
(2)当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/08115d6d9f876dea921a4d32260ff1fb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/942c2141d01bde6b48210c56a17fc75e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8f1d8d5cea065075fe50706abe3ae802.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
.曲线
在
处的切线方程是
.
(1)求
的值;
(2)求
的极值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3a84c516dd4ca7bc6a5578157f44f304.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/942c2141d01bde6b48210c56a17fc75e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9b384412acba251d87902ab928902f16.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ed14e0010e4468edc532afb4df1382a6.png)
(1)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/632244ea6931507f8656e1cc3437d392.png)
(2)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
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【推荐2】已知以函数
的图象上一点
为切点的切线倾斜角为![](https://staticzujuan.xkw.com/quesimg/Upload/formula/af9955b5aebb73cd84447e8541f901ac.png)
(1)求
的值;
(2)是否存在最小的正整数
,使得不等式
,对于
恒成立?若存在,求出最小的正整数
,否则请说明理由.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9c62483f4cc10fe615fe097e231d6293.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/02bb44a62ea8589dd485ab726bb7d7f1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/af9955b5aebb73cd84447e8541f901ac.png)
(1)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/280860dd039e1305a5ccc455f63e8223.png)
(2)是否存在最小的正整数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f0a532e15e232cb4b99a8d4d07c89575.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0fcaf092412049cd25ab9e99f3c75f7a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3ac6a2f7366e0190592444bb60d3cea4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f0a532e15e232cb4b99a8d4d07c89575.png)
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【推荐3】设函数
,曲线
在点
处的切线方程为
.
(1)求
、
的值;
(2)当
,
时,求函数
单调减区间和最值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/25a4166b13c6885cecbde6c6504f5798.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/942c2141d01bde6b48210c56a17fc75e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9c9f8845aa2b51c460f2d798c9f62fa3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c50866229ec5a3640fb250f9bd2192b3.png)
(1)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2c94bb12cee76221e13f9ef955b0aab1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/071a7e733d466949ac935b4b8ee8d183.png)
(2)当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8e258ab9e600435b37465092243d99f6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f851f9849dfe2c3306d20d06f712069d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
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