解题方法
1 . 设
,若函数
在
上单调递增,则
的最小值为( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/56472d6302d52fa226e43ce0141df7c6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f8474564f9d930690821462aacf3cb93.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/870ebc2f7aabb028024894568d749934.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/18f0281e6bbdbe08beeccb55adf84536.png)
A.![]() | B.3 | C.2 | D.1 |
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2 . 已知函数
.
(1)若
,求
的图象在点
处的切线方程;
(2)若
在区间
上单调递增,求实数
的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b1f66891d307bae4eb784b212ce49595.png)
(1)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0b550ee821ee1838384835e81fc34b67.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4669810732b633b60dbeaf0bf57204f6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b680f82d5ee3804b1fa103044347956c.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4669810732b633b60dbeaf0bf57204f6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fb31d4e0c338a1027f89e8b9179c26e2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
您最近一年使用:0次
2023-11-01更新
|
440次组卷
|
3卷引用:2024届高三上学期10月大联考(全国乙卷)理科数学试题
名校
3 . 设函数
,
.
(1)若
,当
时,
单调递增,求a的取值范围;
(2)若
是
的一个极大值点.
(i)当
,求b的取值范围;
(ii)当a是给定的实常数,设
,
,
是
的3个极值点,问是否存在实数b,可找到
,使得
,
,
,
的某种排列
,
,
,
(其中{
,
,
,
}={1,2,3,4}依次成等差数列?若存在,求所有的b及相应的
;若不存在,说明理由.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f5276a5529d1465204e0441d39548ed5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/73254f32b6da29ecc32df2e9f87a4c97.png)
(1)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/143b917df0520097be222accbddf9394.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a6e2e79843faf62dde86bf858d1e0569.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bb45f673c56a289ea78831c9237e8d20.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
(i)当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3b4d795709b0abcf47bceec2250f2f9b.png)
(ii)当a是给定的实常数,设
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c814128ea2139e33db94ea590e7c2223.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/aec19b68e3add9d5bfcc6269a1855b87.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/291c25fc6a69d6d0ccfb8d839b9b4462.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/55c41e90dcab6783fff43f03390ef298.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c814128ea2139e33db94ea590e7c2223.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/aec19b68e3add9d5bfcc6269a1855b87.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/291c25fc6a69d6d0ccfb8d839b9b4462.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/365b38a7689a8eede6820cd6f1fe952b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/99e5ee0eaeb1b74999cc0a9a9f244545.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9f208cee1885a263ae371c7d46189b59.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/388563dca8b69e2a6692002db3d37670.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2b2a0e1fa9705b6a52072bbb69eac386.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/df5f59bc23cf55f56312c9ed9806371f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d6af9e7b1c23db5584ad8521d4444d5d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ef259280a3e7fc0425fc9d6d7c5b8484.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3fde28a4345a8add444647ffebc46bd4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/365b38a7689a8eede6820cd6f1fe952b.png)
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