已知函数![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9f36bfc75ac2ca1571d8f9eff5dfb0a4.png)
(1)若
,求
的图象在
处的切线方程;
(2)若
,证明:
在
上只有一个零点.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9f36bfc75ac2ca1571d8f9eff5dfb0a4.png)
(1)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e94f16d5ed858699bfea5039a7bf8ae6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9b384412acba251d87902ab928902f16.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fe9e329f2730b2be926b121f1ae04c0f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/870ebc2f7aabb028024894568d749934.png)
2023高三·全国·专题练习 查看更多[2]
更新时间:2023-04-06 16:22:54
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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
(
为大于1的整数),
(1)当
时,求
在
处的切线方程;
(2)当
时,若关于
的方程
在区间
上有两个实数解,求实数
的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0b746051c2074ae7f104e6be9ddc1d3f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
(1)当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8e258ab9e600435b37465092243d99f6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9b384412acba251d87902ab928902f16.png)
(2)当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0b550ee821ee1838384835e81fc34b67.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0816dde5ada3cee2f45e2df29b3f6520.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4d5443ddbcc606b0bad571e6cd0a1057.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294f5ba74cdf695fc9a8a8e52f421328.png)
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解答题-问答题
|
适中
(0.65)
【推荐2】已知函数
.
(1)求曲线
在点
处的切线方程;
(2)证明:
;
(3)证明:
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/41926e788888f831300031e8c249b6e1.png)
(1)求曲线
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/942c2141d01bde6b48210c56a17fc75e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9c9f8845aa2b51c460f2d798c9f62fa3.png)
(2)证明:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/583f1106574ba84e623797ee046d1c5b.png)
(3)证明:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/190c729245438e6d6a118770b91a0506.png)
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解答题-问答题
|
适中
(0.65)
【推荐3】已知函数
.
(1)求
在
处的切线方程;
(2)若函数
在区间
上恰有两个不同的零点,求实数
的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ff2567f2745958d155561723a7e071a5.png)
(1)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9b384412acba251d87902ab928902f16.png)
(2)若函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/af25291311136e71994ddab394e30624.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ed6d804ef44bfc64f824b0ccef71765e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
您最近一年使用:0次
解答题-问答题
|
适中
(0.65)
【推荐1】已知函数
.
(1)当
时,求
的零点个数;
(2)讨论
的单调性.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b1b3505dbbd97fc5a72a422a7839f5fd.png)
(1)当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8e258ab9e600435b37465092243d99f6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
(2)讨论
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
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适中
(0.65)
解题方法
【推荐2】已知函数
的两个极值点
满足
,且
,其中
是自然对数的底数.
(1)
时,求
的值;
(2)求
的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1baacf33ec852ad9c535cca950bd3159.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/694c99143dcd6fdc8138efa03d0c3350.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e5b6fc02b5fef923c6c60b85613af810.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4d0338a71a50318d0dd3f5cd99e7503a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4ff5a8f648d375cc6ccf6649cab698c6.png)
(1)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cf7b339246d52b29603d33c152f44de1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8d38c10b2fcc63574d5af66f655758cf.png)
(2)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0aee3fc132225e8c3177130c68254c11.png)
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解答题-问答题
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适中
(0.65)
【推荐3】已知函数
,其中
,且函数
的最大值是![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ed9648f06cf8e7a87e6dd85d71026c0f.png)
(1)求实数
的值;
(2)若函数
有两个零点,求实数
的取值范围;
(3)若对任意的
,都有
成立,求实数
的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e8cf5f60f3e0e1fed90cc1cfeffa1d1c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4eda48853e8bdb7e266370b4e0d5a258.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ed9648f06cf8e7a87e6dd85d71026c0f.png)
(1)求实数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
(2)若函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b174f2cf0e86e8bc4a75ec924eb80e11.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2c94bb12cee76221e13f9ef955b0aab1.png)
(3)若对任意的
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d917efaa900ac4305a81971f1c129b87.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/eb58e02fbde366d1438f208e3e69a97b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f0a532e15e232cb4b99a8d4d07c89575.png)
您最近一年使用:0次