设函数
,函数
.
(1)求函数
的单调区间;
(2)讨论函数
零点的个数.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/030819930a8f5a97d9e9335cc59b5867.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fc58c25e710f00067bf003157b69dc80.png)
(1)求函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
(2)讨论函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/be1ce3f01e2b6364f9a9fdaf197d5e29.png)
更新时间:2020-09-04 11:37:05
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较难
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【推荐1】已知函数f(x)=(x﹣1)lnx.
(Ⅰ)判断f(x)的单调性;
(Ⅱ)设g(x)=﹣ax2+(a﹣1)x+1,a∈R当x∈[
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(Ⅰ)判断f(x)的单调性;
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![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b4f1c0e10360c3dea10640ac01212de9.png)
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解答题-问答题
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较难
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名校
解题方法
【推荐2】已知函数
,![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1af34c480d55ef160effd965e0bdbb56.png)
(1)讨论
的单调性;
(2)设
,若
的最小值为
,证明:
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6fcd053aae9a225be138c949c08a9cdd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1af34c480d55ef160effd965e0bdbb56.png)
(1)讨论
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
(2)设
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bca4be345087f993a4078e16c16608e2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0eb7df298a9364b36e079a61caec815c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac047e91852b91af639feec23a9598b2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ad5408544f10c3591ce4c5dd58b2ab89.png)
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解答题-问答题
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【推荐1】已知函数
.
(1)讨论
的单调性;
(2)设
,求证:当
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![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1ae648c38a4f55310db639082bfcca39.png)
(1)讨论
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
(2)设
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d6b456391f0ee447887b2091344205f9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0b550ee821ee1838384835e81fc34b67.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/46be55c8f2760d6db125f46691a3de48.png)
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【推荐2】已知函数
,
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(1)当
为何值时,
轴为曲线
的切线.
(2)设
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(3)用
,
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,
中的最小值,设函数
,
,讨论
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![](https://staticzujuan.xkw.com/quesimg/Upload/formula/46ed609187e434e8f81b04c3df573325.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bd2109571a3269051174198d4c1b4481.png)
(1)当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/51c530f4b7491b95acb8ce3eef9aa09d.png)
(2)设
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8f3c2be7482719651bcf491949681e05.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f124fb9eab689c537bb5ddf5012e35f7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/aa7ddb5245cbaa046b6e554dcb540a88.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
(3)用
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b878df5d82b8e70b6f03087893ac87f4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6c93fedde9bb8f927c986094275598b9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294f5ba74cdf695fc9a8a8e52f421328.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b6a24198bd04c29321ae5dc5a28fe421.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6edf01abb637ea035b8cf611256a144f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f34d3168c0270c1079e6e30058de7389.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0eb7df298a9364b36e079a61caec815c.png)
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