已知函数
(
)在定义域内仅有唯一零点.
(1)若对
,不等式
恒成立,求实数
的最大值;
(2)设函数![](https://staticzujuan.xkw.com/quesimg/Upload/formula/61c388166862b3ccfcc7ca749ebe5949.png)
,对于
,
,且
,求证:
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/eb00598a5e27cbe8df206e536c3fb56c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7c9ca15de80717300c0518cd82b561cf.png)
(1)若对
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4b6a8984aa398bf767ccd9a601d77983.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7620c5d02684cad4b4c40124d93afb86.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
(2)设函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/61c388166862b3ccfcc7ca749ebe5949.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f594cc7d59bcf7c05f5e181556cc3cfe.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/673207f6b77b8192d25463d071737b7c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8ad2901785a62e1e541b4b765e898960.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/33bd24e647a626899a243a3f3984f90a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/626e763ce41f8980ec3243173bedf44b.png)
更新时间:2017-04-01 10:16:29
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解题方法
【推荐1】设函数
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(2)若m,t∈R+,且
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(3)若
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![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3267568f2ffa08561a2141809470b38b.png)
(1)求函数f(x)的最小值;
(2)若m,t∈R+,且
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6d12850d47675659caa5e05e3eb8991d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8ea7ddf967ca698fdb394c37b52e44ac.png)
(3)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/73f257d5ca4cb0815ae9fda1716012dc.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f28e1a1b49fad158be76944f79652955.png)
求证:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fe8546983fa286eab46633ffda64f6d0.png)
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名校
解题方法
【推荐2】已知函数
.
(1)当
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(3)求证:对
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![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c0daab460e2b22642d1e1c25e138145b.png)
(1)当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac4cbc7b067862a3d9c6789b392fc068.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4669810732b633b60dbeaf0bf57204f6.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9e9c599e8d420006448905acec2b8234.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/eb63478132d4c1fef3c17e591919da83.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
(3)求证:对
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e72620c113a6fe83273803a9ac24baa5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0c2c1f263350273b17c2b2f69c23ad55.png)
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(1)当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0b550ee821ee1838384835e81fc34b67.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
(2)若关于
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1fa757c82f454fe33f592264a7e4d08c.png)
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(3)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/04391464f10c513e23be28dc5eeff88e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/08115d6d9f876dea921a4d32260ff1fb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d347d5b8729ddc0417eb8eb0a13c7218.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f0a532e15e232cb4b99a8d4d07c89575.png)
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![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ad04a81b8c310f929f1d19088501a171.png)
(1)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d215114ca627effb31bef397b433cb83.png)
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(2)证明:
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![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c43c6dbeab3ca3c3d1ec292dafebd8f5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4abdb0052a30184ec7bdc7e4fbd3922c.png)
(1)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/48adb8a59b5c02fad5eada1b35171cf3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/239ea0e903fbb4c8ce04133b9969578c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6d6c0bbfde440305a1de1e939ac78082.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9b384412acba251d87902ab928902f16.png)
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![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0b550ee821ee1838384835e81fc34b67.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9b384412acba251d87902ab928902f16.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a7a34d46575f388984a69d1660ab8667.png)
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![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ebc20d351d51723c9b0a07a20ac14114.png)
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![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
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