解题方法
1 . 已知函数
;
(1)当
时,证明:对任意
,
;
(2)若
是函数
的极值点,求实数
的值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2346653e6918645039ecddf169cbc4c3.png)
(1)当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6b108ab31cc093f03cf48ad65429889e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4e830b2c78db6a08399ec23df05c030b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1c73a98c1b3504e09bfbe0db849b0d24.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bb45f673c56a289ea78831c9237e8d20.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
您最近一年使用:0次
名校
2 . 已知函数
.
(1)若
,求实数
的值;
(2)证明:当
时,
;
(3)证明:
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/eb6c37351c567aaab59a00bda7b7a6ca.png)
(1)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5479b9a3456d44b5fabdf6a408569fc6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
(2)证明:当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2c3872e02788a1065041862720386732.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/453f0415210882172f4104a7061eff54.png)
(3)证明:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f149202bd0b3d9c0784910b3205d91b2.png)
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3 . 设函数
,
.
(1)当
时,求
的单调区间;
(2)若
,求实数
的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d110f47ea68e104b79fd6f38ab03157b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/22dd8b3dc4c609bab82d356a5cc2208d.png)
(1)当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0b550ee821ee1838384835e81fc34b67.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f5931095eb29d9d6b55ed9fa32a4ef1d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
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解题方法
4 . 已知
,
有且仅有一条公切线
,
(1)求
的解析式,并比较
与
的大小关系.
(2)证明:
,
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/89a2d7c67748749a033294d20ec56360.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2e9f049a5f960728c60a909821b2404b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f85fca60a11e1af2bf50138d0e3fe62.png)
(1)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4669810732b633b60dbeaf0bf57204f6.png)
(2)证明:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/42897f25d4cfcf4ffa141f8c9e7f9468.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/28652e52c0b02a343e618935ea625cbf.png)
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解题方法
5 . 设函数
,![](https://staticzujuan.xkw.com/quesimg/Upload/formula/eb63478132d4c1fef3c17e591919da83.png)
(1)求
在区间
上的极值点个数;
(2)若
为
的极值点,则
,求整数
的最大值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1947fd8b1e5fa9096c13256fdb3a23ed.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/eb63478132d4c1fef3c17e591919da83.png)
(1)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/71163f419555f2ed76075c8ff659fbfc.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/79b752f0f189e5d8666daea73e145dff.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac36889228059ff2e482ad6f4e67f289.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/df64046e91b047037f19e4032e3b6de3.png)
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解题方法
6 . 已知函数
.
(1)若直线
与曲线
相切,求b的值;
(2)若关于x的方程
有两个实数根
,证明:
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c08eff10ac609235a35c960aa2dc394d.png)
(1)若直线
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/07660a8dd3273fed0435630901cf8503.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/942c2141d01bde6b48210c56a17fc75e.png)
(2)若关于x的方程
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b9c0d827ef8598ba6b70b34b2bdcd1e9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/aca579894dad67bc82cb715fd48e0d70.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/89a891b1fd6db25a664f553fa1cf2652.png)
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2023-05-10更新
|
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|
2卷引用:云南省昆明市2023届高三“三诊一模”高考模拟考试数学试题
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7 . 已知函数
在
处切线斜率为
,
,其中
.
(1)求a的值;
(2)若
时,
,求b的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/64611b77f084fbe14f1ef9406446cf59.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9b384412acba251d87902ab928902f16.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3389f53711264b0acba3ba6019f8b908.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3444735e374fcda042b79737d035bc3d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/360ff131c51a4ef6745538c18cec92c2.png)
(1)求a的值;
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0fde64f4d3c38e43fbdee24eadc4b0dd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/29676b35414afa9b1091ecfe97b34061.png)
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8 . 已知函数
(
,
),
.
(1)讨论
的单调性;
(2)当
时,不等式
恒成立,求
的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/819b3b823470a54fb4296dc62a6fa88e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/08115d6d9f876dea921a4d32260ff1fb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/20849c00c47cbdc43f18d53341b6c4e5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/31291daddb667739ef98922fb83ef61f.png)
(1)讨论
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
(2)当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0fde64f4d3c38e43fbdee24eadc4b0dd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/daa18838a13fda4e45612c32cdf98b71.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
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9 . 已知函数
.
(1)求曲线
在点
处的切线方程;
(2)若函数
有两个零点
(其中
),且不等式
恒成立,求实数
的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/86a2dc9525bcebbeedeb93fa0f0ff7fd.png)
(1)求曲线
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/942c2141d01bde6b48210c56a17fc75e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5828873f8369183faf71181cda5b61d2.png)
(2)若函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7e6b693b2ace2a0477597dd0fe1f7d09.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8ce7ae90d808f05e86ea063238e4b2f9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/26d8dafc71b106f39f4e15442220897b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2f17bfdfcff239741a620ac772aa489f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294f5ba74cdf695fc9a8a8e52f421328.png)
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2023-03-14更新
|
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5卷引用:云南省昆明市2023届“三诊一模”高三复习教学质量检测数学
云南省昆明市2023届“三诊一模”高三复习教学质量检测数学湖北省武汉市5G联合体2022-2023学年高二下学期期中联考数学试题(已下线)专题05导数及其应用(解答题)(已下线)河南省信阳市2023-2024学年高三上学期第二次教学质量检测数学试题变式题17-22(已下线)专题3 导数与函数的零点(方程的根)【练】
名校
10 . 已知函数
.
(1)若
且
存在零点,求实数a的取值范围;
(2)若
,求
的最大值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b170a26fd23c982b632dd96e729e0618.png)
(1)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/143b917df0520097be222accbddf9394.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9e9c599e8d420006448905acec2b8234.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9a0fa62da7ba2677971987d87141d5a3.png)
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2023-02-06更新
|
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