1 . 设动直线
与函数
,
的图象分别交于点
,已知
,则
的最小值与最大值之积为( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ca1fc40e64ec427b41693c21c20890bf.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c982eeb9b2a3d426a7aa70a0d3a91c2c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/914a49b0d7aedc593a3e87fbab7c31ca.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7789a500686c7a73770404ead6af0590.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/23f0c11fcf4c537bdf8982b91359f098.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/084cf5ffced059f5653ee2a1023518b7.png)
A.![]() | B.![]() |
C.![]() | D.![]() |
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2 . 若
,
,
,则a,b,c的大小关系为( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6966a8f007b48125b2d63464b87472f0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c67cbef6f42a6afcad528292d6eb1f74.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2778ed510be232f8c7cbc19e66d156ae.png)
A.![]() | B.![]() | C.![]() | D.![]() |
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3 . 已知函数
,其中e为自然对数的底数.
(1)若函数
在
上有2个极值点,求a的取值范围;
(2)设函数
,
),证明:
的所有零点之和大于
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9ffabb66b55e415c2c864685fa5223d2.png)
(1)若函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d562dc22dfb3b81d0c3f88b54d063c2f.png)
(2)设函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/aef53a8a0375569abd516895e30fa350.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ddea382d8bece5514a9cbd6a225667e0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4669810732b633b60dbeaf0bf57204f6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/35e2d7c958e99bcd9d7f251c19ee3544.png)
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解题方法
4 . 已知函数
,则下列结论正确的是( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bbfc436eb1738984ed3b50eca6569a02.png)
A.函数![]() |
B.![]() |
C.当![]() ![]() |
D.若函数![]() ![]() ![]() |
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2024-06-04更新
|
413次组卷
|
2卷引用:河北省深州中学2023-2024学年高二上学期期末考试数学试题
24-25高一上·全国·课后作业
解题方法
5 . 设
,
,求x,y的值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f5ab4b75fa22deba7fcbcdcb31dd45b2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ce8bb034d2f94428bf12d5cf102cafef.png)
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6 . 若曲线
在点
处的切线与直线
垂直,则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/380bbacf854e30e2e747fc286d2b9997.png)
____________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d2972e757755fc00e1fa8ab39b588c1f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e4e38706bbc34765574a7f23770c6fc5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a3ffdd1472aab2f7d1c01f4104bd3eeb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/380bbacf854e30e2e747fc286d2b9997.png)
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7 . 已知函数
(
,
为自然对数的底数).
(1)讨论函数
的单调性;
(2)若函数
至少有两个零点,求实数
的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7b2d44037e3994608ef7b4a14cd2e811.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/22dd8b3dc4c609bab82d356a5cc2208d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/041a7c8fc017f596542c5e6ec7d1c40b.png)
(1)讨论函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
(2)若函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
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8 . 已知函数
.
(1)当
时,求
的极值;
(2)若
恒成立,求实数
的取值范围;
(3)证明:
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9b48e39514c9e9909e94fc5745355cfa.png)
(1)当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6b108ab31cc093f03cf48ad65429889e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d275fbb3ee5cd1177ca5a2ceecbbef0f.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/58196b9e63ec00aa1119052b6de6ae12.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
(3)证明:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6274961e116aff1637d4bc3ac4944ce5.png)
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2024-05-25更新
|
743次组卷
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5卷引用:四川省成都市郫都区2024届高三上学期阶段检测(三)文科数学试卷
名校
9 . 若复数
满足
,则
的最小值为( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e81e59019989b7dc2fb59b037ef6e010.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09a780309d32e7d0334f0ac26512a53f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a8702011aac0963b03298a222aa62a38.png)
A.![]() | B.![]() | C.![]() | D.![]() |
您最近一年使用:0次
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10 . 已知复数
满足
,则( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e81e59019989b7dc2fb59b037ef6e010.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/28d76ed4e3b8897c14cf046a75c6a9de.png)
A.![]() ![]() | B.![]() | C.![]() | D.![]() |
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2024-04-29更新
|
146次组卷
|
3卷引用:广东省茂名市高新中学2023-2024学年高一下学期期中测试数学试卷
广东省茂名市高新中学2023-2024学年高一下学期期中测试数学试卷(已下线)专题06 复数常考题型归类-期末考点大串讲(人教B版2019必修第四册)吉林省四平市第一高级中学2023-2024学年高二上学期期初验收考试数学试题