解题方法
1 . 已知函数
与
的零点分别为
和
,若存在
,
使得
,则实数a的取值范围是______ .(
是自然对数的底数)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0fc9e9802ec71e863cde96cf2bcb5750.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4b8dc1e48066c7d2722d3e0e94504155.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/294f5ba74cdf695fc9a8a8e52f421328.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b6a24198bd04c29321ae5dc5a28fe421.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d4184c3549eb113697c3ca15e1cabf85.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/041a7c8fc017f596542c5e6ec7d1c40b.png)
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解题方法
2 . 已知函数
是增函数,且
.
(1)若
,
,求
的最小值;
(2)是否存在实数![](https://staticzujuan.xkw.com/quesimg/Upload/formula/280860dd039e1305a5ccc455f63e8223.png)
,使得当
时,函数
的最小值恰为
,而最大值恰为
?若存在,求出
的值;若不存在,请说明理由.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0e865711fc88c1871452f1f12076c534.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/69e5e69fb32ec266ef16839f55e339c5.png)
(1)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3ed36b061ed9341df142319ca9f4fb3e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/46a9a5af7b4a506d670ca5c382050694.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0ccbdec1dce6366439e5cdf0a137fa5a.png)
(2)是否存在实数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/280860dd039e1305a5ccc455f63e8223.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/475963eea170ff0bbdaf2f0b706dfc34.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fe276c0522839b1d37086d92612aa7c4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/942c2141d01bde6b48210c56a17fc75e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d023b25a30df94a1f5b50281f37fe5fb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/68f59220c67431fd6515ef2297c9836c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/280860dd039e1305a5ccc455f63e8223.png)
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解题方法
3 . 已知函数
在
上的最大值为
,则实数
的值为_____ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/effaf03ccb187d923faf995eedbaa239.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2a2ec965488c7e1cea085463c7731285.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/95e35f76e01c3979ae5987f7729f9856.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f0a532e15e232cb4b99a8d4d07c89575.png)
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解题方法
4 . 已知函数
.
(1)若函数
图像关于
对称,求不等式
的解集;
(2)若当
时函数
的最小值为2,求当
时,函数
的最大值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/45a92e0ef81f8c36ef39d4beaab7af0c.png)
(1)若函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/707ea658f3a9359f5740d5aab48f7948.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cd68052924f31b2585c7a9596efaa2b7.png)
(2)若当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6070f2ee5e48cce77eb4a2cb9f11ccfb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6070f2ee5e48cce77eb4a2cb9f11ccfb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
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5 . 已知函数
,且
,当
的定义域是
时,此时值域也是
.
(1)求
的值;
(2)若
,证明
为奇函数,并求不等式
的解集.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/16858469ae5a1c6026436411e7f365c7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/37fa1476cf3552b9ae91ef039b1c6c80.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9e11f4ca0e7ace69f92130d0525bcdb3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9e11f4ca0e7ace69f92130d0525bcdb3.png)
(1)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/632244ea6931507f8656e1cc3437d392.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/025149f1f486cf574955c4b6fe520fd8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6f0713435de98d93f18d81c9ec3d8631.png)
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6 . 函数
在区间
上的最大值为
,则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/380bbacf854e30e2e747fc286d2b9997.png)
________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ca06eaf856bf141e8c4d5ae212106e66.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9210e75c35fb455d0446eb7ddba7d79c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d91e07104b699c4012be2d26160976a2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/380bbacf854e30e2e747fc286d2b9997.png)
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7 . 已知二次函数
,且对任意的
,都有
成立.
(1)求二次函数
的解析式;
(2)若函数
的最小值为2,求实数
的值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/003564092bcdd0b7aded690567273a08.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/eb63478132d4c1fef3c17e591919da83.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8b6e94bbb8dd48348d991ccd2d69a7d8.png)
(1)求二次函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
(2)若函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1e6e8f9b40767896249506207cdf17ff.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/df64046e91b047037f19e4032e3b6de3.png)
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8 . 若
在
上的最大值为
,则实数
的最大值为__________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1a3f58722394cad3df7234b543be4587.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ebe3757b9809295a2b7ce7c0c31e3715.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5991e9ec7666f533a528a4173c58f0ff.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294f5ba74cdf695fc9a8a8e52f421328.png)
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2022-12-19更新
|
428次组卷
|
4卷引用:湖北省新高考联考协作体2022-2023学年高一上学期12月联考数学试题
湖北省新高考联考协作体2022-2023学年高一上学期12月联考数学试题青海师范大学附属实验中学2022-2023学年高一上学期12月月考数学试题(已下线)3.2.1 单调性与最大(小)值(8大题型)精练-【题型分类归纳】(人教A版2019必修第一册)(已下线)5.3 函数的单调性-【题型分类归纳】(苏教版2019必修第一册)
名校
解题方法
9 . 已知函数
在区间
上的最大值为
,则实数
的值为______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5da3f485ca76e3c7cc10c10662161cbc.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9e11f4ca0e7ace69f92130d0525bcdb3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/533a7b702ada1dd80123e4041271d521.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294f5ba74cdf695fc9a8a8e52f421328.png)
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10 . 已知函数
的最小值为0,(
为自然常数,
),则下列结论正确的是( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7eee932030fa32cb06c331e6178dc692.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/041a7c8fc017f596542c5e6ec7d1c40b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d3352d281464682915fb4a5b14910911.png)
A.若![]() ![]() |
B.若![]() ![]() |
C.若![]() ![]() |
D.若![]() ![]() |
您最近一年使用:0次
2022-11-08更新
|
230次组卷
|
2卷引用:湖北省部分高中联考协作体2022-2023学年高一上学期期中联考数学试题