名校
1 . 已知
在
处取得极小值
.
(1)求
的解析式;
(2)若方程
有且只有一个实数根,求
的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dc9c2470c624d45fbcc20d18329448c8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/707ea658f3a9359f5740d5aab48f7948.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/354c3a283b2b21cc8ac33995aac20a5c.png)
(1)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
(2)若方程
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dade93e54e462e223ef5c85c70f51842.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f0a532e15e232cb4b99a8d4d07c89575.png)
您最近一年使用:0次
名校
解题方法
2 . 已知函数
在
时取得极大值3.
(1)求实数
,
的值;
(2)求函数
在区间
上的最值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d6f5ae606238b7da9fab86d126378bfd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/639c3d2ff5ee566fcc1b69c65712a661.png)
(1)求实数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2c94bb12cee76221e13f9ef955b0aab1.png)
(2)求函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/aa66623cf54b42d6d12be4c8edaa7071.png)
您最近一年使用:0次
名校
解题方法
3 . 如果函数
在区间[a,b]上为增函数,则记为
,函数
在区间[a,b]上为减函数,则记为
.如果
,则实数m的最小值为________ ;如果函数
,且
,
,则实数![](https://staticzujuan.xkw.com/quesimg/Upload/formula/380bbacf854e30e2e747fc286d2b9997.png)
________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b36f7283eba1e1599ef7ebe8028f5ea9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/74d6aa3319cc5772e60a7a584eb35253.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/78dc718a20513bf3b3ba408c80db1f3b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c28de5a7346d96247de5e809f0d00b38.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/82a99da41115af57a2d17ee3a154e02d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9bd1b6a2269496d136784fb927d7689a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/380bbacf854e30e2e747fc286d2b9997.png)
您最近一年使用:0次
2024-06-09更新
|
738次组卷
|
3卷引用:期末押题卷02(考试范围:高考全部范围)-【帮课堂】2023-2024学年高二数学同步学与练(苏教版2019选择性必修第二册)
(已下线)期末押题卷02(考试范围:高考全部范围)-【帮课堂】2023-2024学年高二数学同步学与练(苏教版2019选择性必修第二册)江苏省苏锡常镇四市2024届高三教学情况调研(二)数学试题浙江省杭州师范大学附属中学2024届高三下学期高考适应性考试数学试卷
名校
4 . 已知
,
.
(1)求曲线
在点
处的切线;
(2)若函数
在区间
上存在极值,求
的取值范围;
(3)若
,设
,试判断函数
在区间
上的单调性,并说明理由.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9dea6d08eed01ec1677ef68c41124812.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/10bbdef421c976962a270a2beabbad91.png)
(1)求曲线
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/51c530f4b7491b95acb8ce3eef9aa09d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/68c6b6a11760d0724b0b60e55970e229.png)
(2)若函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/02e1c9c97de9198d47306216e9961b80.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
(3)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3387f1c69de6c2407212536b35150e5a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/22fb19d4cc5fdc49a13002bbe856a902.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/be1ce3f01e2b6364f9a9fdaf197d5e29.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/02e1c9c97de9198d47306216e9961b80.png)
您最近一年使用:0次
解题方法
5 . 已知函数
在
上无极值,则
的取值范围是( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2ea764080dd9860df23c7022ca914ea6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a43b2faa4f81f32d94612dce724e772b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
A.![]() | B.![]() | C.![]() | D.![]() |
您最近一年使用:0次
2024-05-31更新
|
1431次组卷
|
4卷引用:5.3.2函数的极值与最大(小)值(1)
(已下线)5.3.2函数的极值与最大(小)值(1)四川省南充市嘉陵第一中学2023-2024学年高二下学期第三次月考(5月)数学试题辽宁省葫芦岛市协作校2023-2024学年高三下学期第一次考试数学试卷(已下线)易错点5 误认为函数的极值点就是导数的零点
名校
解题方法
6 . 已知奇函数
在
处取得极大值2.
(1)求
的解析式;
(2)若
,使得
有解,求实数
的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bfb885b96ddbf9889de11e3339ca7704.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9b384412acba251d87902ab928902f16.png)
(1)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15081beffb280af25c9d02bfe81da500.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2c5d2bb58cebec830910c14fe0e794be.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294f5ba74cdf695fc9a8a8e52f421328.png)
您最近一年使用:0次
名校
解题方法
7 . 已知函数
,
且满足
,
,对任意的
恒有
,且
为
的极值点,则下列等式成立的是( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1857a9c5edb2cd23cca24bfbcb9fdb8c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8ca83d5dea2d5c02ac18a9c9496ca57e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/722f374fcc31e9223522ae551b487ad4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6dc977b727f526b6d8bd7ede00111c10.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d7d96f8ef8f59ee78b277adefb311eff.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/de49a78e59bbba60b0d22f2616480987.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/79b752f0f189e5d8666daea73e145dff.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5471cd336689527ee568f69b983b3d45.png)
A.![]() | B.![]() |
C.![]() | D.![]() |
您最近一年使用:0次
8 . 已知![](https://staticzujuan.xkw.com/quesimg/Upload/formula/16a4dcb5fc289b6a4a4884888543b9dd.png)
(1)若
在
处的切线平行于x轴,求a的值;
(2)若
存在极值点,求a的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/16a4dcb5fc289b6a4a4884888543b9dd.png)
(1)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bb45f673c56a289ea78831c9237e8d20.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
您最近一年使用:0次
名校
解题方法
9 . 有两个条件:(1)函数
的图象过点
,且函数
在区间
上是减函数,在区间
上是增函数.(2)
在
时取得极大值
.这两个条件中,请选择一个合适的条件将下面的题目补充完整(只要填写序号),并解答本题.题目:已知函数
存在极值,并且______.
(1)求
的解析式;
(2)当
时,求函数
的最值
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7160d93f92089ef36f3dab809d3114b8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5265d99095b635f62c7915298ec0e963.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ee298f993d72e46a490625abed8b2779.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9b384412acba251d87902ab928902f16.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5dc0248a1c8911762d1387b5891c9ab3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/27b80b1717ac2392b95e0bce27ad8b0f.png)
(1)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
(2)当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/998485ffeb46a0412ff1a0f814429257.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
您最近一年使用:0次
名校
解题方法
10 . 已知
在
处取得极大值1,则下列结论正确的是( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0df31cd25f8d79d292b16d12c9dca36c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ef00713e73b8357cc7900144f5505bc6.png)
A.![]() | B.对称中心为![]() |
C.![]() | D.![]() |
您最近一年使用:0次