已知函数
.
(1)求曲线
在点
处的切线方程;
(2)求函数
的单调区间;
(3)求方程
的实数根个数.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/131a32932074f526b32632c13fb27a2a.png)
(1)求曲线
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/942c2141d01bde6b48210c56a17fc75e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/068ff25c767fcbe6fe596d996031eed1.png)
(2)求函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
(3)求方程
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1fa757c82f454fe33f592264a7e4d08c.png)
23-24高二上·陕西榆林·期末 查看更多[2]
更新时间:2024-01-18 23:32:30
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解答题-问答题
|
适中
(0.65)
【推荐1】已知函数
.
(1)求曲线
在点
处的切线方程;
(2)设
,讨论函数
在
上的单调性;
(3)证明:
在
上存在唯一的极大值点.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09033da1aeecdc6508fae3016049f500.png)
(1)求曲线
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/51c530f4b7491b95acb8ce3eef9aa09d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/68c6b6a11760d0724b0b60e55970e229.png)
(2)设
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/585de67a3fc494297d375d339af6d153.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/be1ce3f01e2b6364f9a9fdaf197d5e29.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cbfe8e7fb253685e0e50bae0c5482314.png)
(3)证明:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8a23b1d54c5b212ae004bb6ddf93c9c6.png)
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适中
(0.65)
【推荐2】已知函数
.
(1)若函数
在点
处的切线
与直线
垂直,求切线
的方程;
(2)若
,求
的单调区间及极值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7887fbdc41932907f1448d128e209871.png)
(1)若函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5bea9227dd0104da58e0c40952cc87ed.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f85fca60a11e1af2bf50138d0e3fe62.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/78d38872e6210a3807679e530bf17880.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f85fca60a11e1af2bf50138d0e3fe62.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8e258ab9e600435b37465092243d99f6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
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适中
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名校
【推荐3】已知函数
.
(1)求曲线
在点
处的切线方程;
(2)求函数
在区间
上的最大值和最小值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2d42bc1614c3372edf362b4c07154fba.png)
(1)求曲线
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/942c2141d01bde6b48210c56a17fc75e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5828873f8369183faf71181cda5b61d2.png)
(2)求函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/86f8b396f2ae63e79ffd8886ae4d3849.png)
您最近一年使用:0次
解答题
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适中
(0.65)
【推荐1】已知函数
(I)当
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(I)当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/37e9222ffc26c0e6bfbf252ab5d8a520.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
(Ⅱ)若函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
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适中
(0.65)
名校
【推荐2】已知函数
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(1)若
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![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5a3c442579603164f3fc19458677d307.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15a783088120d67cc98936081e80fb7f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0b550ee821ee1838384835e81fc34b67.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/baf9b4a0c45a830e90b3c469d3083c95.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c814128ea2139e33db94ea590e7c2223.png)
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解答题-问答题
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适中
(0.65)
【推荐1】已知
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(其中
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(Ⅱ)若
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![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4aa0df7f1e45f9de29e802c7f19a4f64.png)
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(Ⅰ)求
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(Ⅱ)若
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![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8eb2e46f49adba6036e2624639a1b966.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294f5ba74cdf695fc9a8a8e52f421328.png)
您最近一年使用:0次
解答题-问答题
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适中
(0.65)
【推荐2】已知函数
.
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![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d5233d925bf28a4fd8f4d70858b6396e.png)
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![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
(Ⅱ)若关于x的方程
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3b039ecfb68d4c95efcc0dbac9932d58.png)
您最近一年使用:0次