名校
解题方法
1 . 已知函数
,
,且![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a6c85467b0027305f2d3757b0ba5bf8b.png)
(1)若
,且
,试比较
与
的大小关系,并说明理由;
(2)若
,且
,证明:
(i)
;
(ii)
.
(参考数据:
)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b1060c34e676f9e4048f396023fa6a2b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b87dad80ff155f615b17fbe8bf4db00a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a6c85467b0027305f2d3757b0ba5bf8b.png)
(1)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0b550ee821ee1838384835e81fc34b67.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/477401fbd54f365121b648e4d8fcf38b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/79b752f0f189e5d8666daea73e145dff.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c814128ea2139e33db94ea590e7c2223.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6b108ab31cc093f03cf48ad65429889e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4f13c49cbcdca5ed2e81d229819357b9.png)
(i)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fc6ecd08de6b156b5fa2bda453c855f3.png)
(ii)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fe64030d6e08f7607b7e3d9a724a79c9.png)
(参考数据:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c9e0f63cd71701bdf260b1510c72ee8f.png)
您最近一年使用:0次
名校
2 . 已知
,函数
,其中
…为自然对数的底数.
(1)证明:函数
在
上有唯一零点;
(2)记
为函数
在
上的零点,证明:
;
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d3adb9acead48e36b705874dc96979f4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/597de8046b5baecf54be4b0516de67ad.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9405dfcca25b76af059fb4c308983eae.png)
(1)证明:函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/942c2141d01bde6b48210c56a17fc75e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6ab5e0524def52baf53480b8726784ed.png)
(2)记
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/79b752f0f189e5d8666daea73e145dff.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/942c2141d01bde6b48210c56a17fc75e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6ab5e0524def52baf53480b8726784ed.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c89e13ea43300cc01379c96614d8e9cc.png)
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2021-10-12更新
|
558次组卷
|
3卷引用:湖北省武汉市部分重点中学2021-2022学年高二下学期期末联考数学试题
名校
3 . 已知函数
的最小值为M.
(1)求M;
(2)若正实数
,
,
满足
,求:
的范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/41fc69c21ff43797710c4dc1776f48df.png)
(1)求M;
(2)若正实数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2c94bb12cee76221e13f9ef955b0aab1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/071a7e733d466949ac935b4b8ee8d183.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/aaba7863fad4c79a7c3c6aa2d85c28f3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cb1771b8f48a829c9be482a0400b561d.png)
您最近一年使用:0次
2019-09-25更新
|
1157次组卷
|
5卷引用:2020届湖北省襄阳市优质高中高三联考数学(理)试题
4 . 已知正数
满足
,求
的最小值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/663a61ad241d5d874c9a9362f0ee917c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5be97cd1c7111b654d87d8fbb63b6a84.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f7f667572aa90b314716d93d77b64bfb.png)
您最近一年使用:0次
5 . 设平面点集
,
.若
,求
的最小值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1763e8d751edb4cb5fe6874e3ba081e9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2e81e3ecc4052af71a63c9ef15671846.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/325dbfbc8356959f85771922170665ee.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/73f8481c483bb605f505414fde3c6a8d.png)
您最近一年使用:0次
2013高三·湖北·竞赛
6 . 求函数
的值域.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e4847bc06a66cf10a859b250a29d9b91.png)
您最近一年使用:0次
7 . 已知二次函数
的图像过点
,且
是偶函数.
(1)求
的解析式.
(2)函数
的图像是否存在这样的点,其横坐标是正整数,纵坐标是一个完全平方数?如果存在,求出这样点的坐标;如果不存在,请说明理由.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83122767787250368fcedf1bd8e6ae56.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b8b3d5d84938175b9b850a1290128eba.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f8138c4c94ac3223e8da5bae80c4c9ae.png)
(1)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
(2)函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/942c2141d01bde6b48210c56a17fc75e.png)
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