名校
1 . 若函数
,当
时,函数
有极值
.
(1)求函数
的解析式,并求其在点
处的切线方程;
(2)若方程
有
个不同的根,求实数
的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ad12cf0da11386a6e24c9f174db4f829.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/707ea658f3a9359f5740d5aab48f7948.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/354c3a283b2b21cc8ac33995aac20a5c.png)
(1)求函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5bea9227dd0104da58e0c40952cc87ed.png)
(2)若方程
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15effed01f0ec8ef5ac4efa70efaa7ae.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5ca7d1107389675d32b56ec097464c14.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f0a532e15e232cb4b99a8d4d07c89575.png)
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2020-12-08更新
|
332次组卷
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3卷引用:新疆阜康市第一中学2020-2021学年高二下学期期中考试数学(文)试题
名校
2 . 已知函数
,设直线
分别是曲线
的两条不同的切线;
(1)若函数
为奇函数,且当
时,
有极小值为-4;
(i)求
的值;
(ii)若直线
亦与曲线
相切,且三条不同的直线
交于点
,求实数m的取值范围;
(2)若直线
,直线
与曲线
切于点B且交曲线
于点D,直线
与曲线
切于点C且交曲线
于点A,记点
的横坐标分别为
,求
的值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ca8506193832536de981fd7502ae26d1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/50297ad9f7256b4d2efc3462289f18b7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/942c2141d01bde6b48210c56a17fc75e.png)
(1)若函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9b384412acba251d87902ab928902f16.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
(i)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2c27a9af7db04a611063978a7990745e.png)
(ii)若直线
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c9fce9427c9b17e4d3cda0c3ff3e2e14.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/942c2141d01bde6b48210c56a17fc75e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ab8f4db1c26d29d02879806285323950.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/807c78c8d42512a8151e869e7ae1a957.png)
(2)若直线
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1095c036b49c3327baaa2c3c7f746134.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2e9b0f5f44abbc6544a2f672b025b013.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/942c2141d01bde6b48210c56a17fc75e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/942c2141d01bde6b48210c56a17fc75e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3f6f17bc385bafb37e8f964e5eb99cd0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/942c2141d01bde6b48210c56a17fc75e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/942c2141d01bde6b48210c56a17fc75e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d4496fe22b40bc63581998e6b7ef6783.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b64252a6fb035258a2e4c9cface74197.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e2976bd5a8583b3646eb5ced52b89d09.png)
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2019-04-23更新
|
720次组卷
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3卷引用:新疆维吾尔自治区乌鲁木齐市第101中学2023届高三上学期12月月考文科数学试题
12-13高三上·浙江金华·期末
3 . 已知函数![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fb2b1460629ec213a3c18b68e11f3736.png)
(1)当
时,求函数
在点
处的切线方程;
(2)若函数
在
上的图象与直线
总有两个不同交点,求实数a的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fb2b1460629ec213a3c18b68e11f3736.png)
(1)当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0b550ee821ee1838384835e81fc34b67.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fe1c8ce66eb064f103757590ebea2945.png)
(2)若函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/67e2050bf6786250f868d007124b8485.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bcc22a0047b784150ca07561fc0bdaab.png)
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2016-12-01更新
|
1100次组卷
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4卷引用:新疆乌鲁木齐市第十二中学2023届高三下学期2月月考数学(理)试题
新疆乌鲁木齐市第十二中学2023届高三下学期2月月考数学(理)试题(已下线)2012届浙江省金华十校高三上学期期末考试文科数学浙江省部分学校联考2024届高三高考适应性测试数学试题(已下线)专题3 导数与函数的零点(方程的根)【练】