已知函数
,当
时,证明:
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1e6b4fd7ea9ebef26c80081aece3cdb8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bb5f421939ee855f25927e7570d82c71.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2868fc8e6dc8e0b15a381649a7bd5532.png)
2024高三下·江苏·专题练习 查看更多[1]
(已下线)微专题09 隐零点问题
更新时间:2024-03-31 08:36:16
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解答题-问答题
|
较难
(0.4)
名校
解题方法
【推荐1】已知函数
.
(1)若对任意实数
,都有
恒成立,求实数a的取值范围;
(2)当
时,若
,求
的最小值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d7099112b4aaca7cc9454781b0532c2f.png)
(1)若对任意实数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9cc4136bd17997e11a7f8abcb19f9018.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a71baf6217604517fd98fa97d0f55b43.png)
(2)当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/200f24e682c93e02a87f3f9d57dc5d40.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/12f8f79e938bf77f67440579ad10cb82.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/450398974b1561ca801e102e16df6789.png)
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解答题-问答题
|
较难
(0.4)
解题方法
【推荐2】已知函数
,
.
(Ⅰ)判定
在
上的单调性;
(Ⅱ)求
在
上的最小值;
(Ⅲ)若
,
,求实数
的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d7451f1355389fc9a84e592b51ba039e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c4b52039aab47c79445665990c18bf6f.png)
(Ⅰ)判定
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0109d06b8be2e402b5ffbb0aeb501009.png)
(Ⅱ)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/be1ce3f01e2b6364f9a9fdaf197d5e29.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0109d06b8be2e402b5ffbb0aeb501009.png)
(Ⅲ)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cac657ea5bbf4b237a30e4074c76cc81.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d4bafef35b3690b4203e4b0d6203a044.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
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较难
(0.4)
解题方法
【推荐1】设函数
,
,
为自然对数的底数.
(1)讨论
的极值点个数;
(2)当
,
时,证明:
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6f03ccbcfba9c6631dac5695d2b6690b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9cc4136bd17997e11a7f8abcb19f9018.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/168b3e4b1d6f04226fa2687a72a268b4.png)
(1)讨论
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
(2)当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1c67a7e28dba059006021a2e2105f538.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9cc4136bd17997e11a7f8abcb19f9018.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bd47db8f1b981ba494be38306643c838.png)
您最近一年使用:0次
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较难
(0.4)
名校
解题方法
【推荐2】设函数
,其中
为自然对数的底数,曲线
在
处切线的斜率为
.
(1)求实数
的值;
(2)若
,
.证明:
均有
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/92a0c95c1e32492c4afc26a1e14ca816.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/168b3e4b1d6f04226fa2687a72a268b4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09b29a7faa14a6e09d0db2d04f4ced03.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5d8914269ade8c15e97352a32de9aa9c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/37c74e6ee74341d2c2bbec89370a5888.png)
(1)求实数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d90e5d99ef32b0c90db3e1fe9b43e07a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/899f7dffc1ac011a4fb8e80cb733ca34.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5b57eb7d1dec82da171a31bcf46c5bab.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/449c9b29bb8dffcd671abc0e5832cf36.png)
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