名校
解题方法
1 . 设A,B,C,D为抛物线
上不同的四点,A,D关于该抛物线的对称轴对称,
平行于该抛物线在点D处的切线l.设点D到直线
和直线
的距离分别为
,
,已知
,则
( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e42102c1c07562853219ca5918803a27.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0dc5c9827dfd0be5a9c85962d6ccbfb1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f52a58fbaf4fea03567e88a9f0f6e37e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/60ef95894ceebaf236170e8832dcf7e3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5edf900c810371fb21297c15f86d8743.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b31ac1def558351e2e3ed1235c570530.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/84bbe19f0e503b3126f409460288b8f6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bb04cecda15f15130411851e4e41398d.png)
A.![]() | B.![]() | C.1 | D.![]() |
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2024-06-06更新
|
160次组卷
|
3卷引用:河北省邢台市第一中学2023-2024学年高二下学期期中测试数学试题
名校
解题方法
2 . 已知函数
,则下列结论正确的是( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a6430ca4934ea1099dccec3dc95de15b.png)
A.若![]() ![]() |
B.若![]() ![]() ![]() |
C.![]() ![]() |
D.若![]() ![]() ![]() ![]() ![]() |
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2024-05-28更新
|
128次组卷
|
2卷引用:河北省邢台市第一中学2023-2024学年高二下学期期中测试数学试题
名校
解题方法
3 . 若不等式
在
上恒成立,则
的取值范围为( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/610bf256922471562f0f7fa05f9b7f16.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d562dc22dfb3b81d0c3f88b54d063c2f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/36a1b09c653185842513e24ebba60bb3.png)
A.![]() | B.![]() | C.![]() | D.![]() |
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4 . 在数列
中,若存在常数
,使得
恒成立,则称数列
为“
数列”.
(1)若
,试判断数列
是否为“
数列”,请说明理由;
(2)若数列
为“
数列”,且
,数列
为等比数列,且
,求数列
的通项公式;
(3)若正项数列
为“
数列”,且
,
,证明:
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/36a1b09c653185842513e24ebba60bb3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8158441521b4c35044b2c27b0df96d19.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9e93815f534a9ba003799aef2a53a242.png)
(1)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/075f4a124ee7f174909a106a94f5ad42.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/57ef6d44448092ebdb9e4a49d866a749.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9e93815f534a9ba003799aef2a53a242.png)
(2)若数列
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9e93815f534a9ba003799aef2a53a242.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/039e4fe671d61e59b96ee525c9df43e8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/034ba25825c13725931c483aa47c9363.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/196c99381f37d23ce5c7ba450d98330b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/034ba25825c13725931c483aa47c9363.png)
(3)若正项数列
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9e93815f534a9ba003799aef2a53a242.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8141d87fb02b08c88b0c9f27f839a7d9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0fff6e7e2b9f2b68b1647f6350b98dc8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1eb4bba6777941fbf01de6094c3ff21d.png)
您最近一年使用:0次
2024-03-06更新
|
1608次组卷
|
5卷引用:河北省邢台市第一中学2023-2024学年高二下学期期中测试数学试题
名校
5 . 已知数列
中,
,若函数
的导数为
,则
( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81c7f99a46e811216020e6abb0cfcee7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/001636235d64e267a81e69112d7dbcf5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/724340d69477c0ec2418c392b22b1cab.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dd81c758860fbebd22ff65b90f0980fe.png)
A.2 | B.![]() | C.![]() | D.![]() |
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2023-12-29更新
|
387次组卷
|
2卷引用:河北省邢台市质检联盟2023-2024学年高二上学期第四次月考(12月)数学试题
解题方法
6 . 已知函数
.
(1)若
为增函数,求
;
(2)若
,
有两个零点
,
,且
,证明:
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c19a9c331a141ea17e7fed9aa6d5fa8f.png)
(1)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/606ef9cb8c9c4f61ab2acc4c11fec693.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/724340d69477c0ec2418c392b22b1cab.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/26d8dafc71b106f39f4e15442220897b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0b121313cbe08a953a98bafa52d54a16.png)
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名校
7 . 已知函数
,
,则下列各选项正确的是( )
(参考数据:
)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e89d8ccfc4869ba7725dbcd57a9463a5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f4d2398433535bb4d674e157938a7cbc.png)
(参考数据:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/50c0dbd00561ea451bed8e85765d6753.png)
A.![]() ![]() |
B.![]() |
C.![]() ![]() |
D.若![]() ![]() ![]() ![]() |
您最近一年使用:0次
2023-07-09更新
|
144次组卷
|
2卷引用:河北省邢台市2022-2023学年高二下学期期末数学试题
解题方法
8 . 已知函数
.
(1)若函数
在点
处的切线方程为
,求a值;
(2)若
,对于任意
,当
时,不等式
恒成立,求实数m的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac71a579dff017c7db96423ec7b91b66.png)
(1)若函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5bea9227dd0104da58e0c40952cc87ed.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e1d0aa9412dd7caf42cc71520e282328.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0b550ee821ee1838384835e81fc34b67.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6abcfbdd70aeecb853f73133277779aa.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/26d8dafc71b106f39f4e15442220897b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b002984f78586fa9a6c987041355c1a1.png)
您最近一年使用:0次
名校
9 . 已知随机变量
,若对任意的正实数
,满足当
时,
恒成立,则
的取值范围( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/707b915d4fde61f752a3ac4a36a3b976.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d107ada5b88073d42481ba8dce1316de.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/26d8dafc71b106f39f4e15442220897b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/122c5ec1306a4fb3c3685deaf3d3c60e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294f5ba74cdf695fc9a8a8e52f421328.png)
A.![]() | B.![]() | C.![]() | D.![]() |
您最近一年使用:0次
2023-04-18更新
|
746次组卷
|
7卷引用:河北省邢台市重点高中2022-2023学年高二下学期6月联考数学试题
河北省邢台市重点高中2022-2023学年高二下学期6月联考数学试题浙江省宁波三锋教研联盟2022-2023学年高二下学期期中联考数学试题(已下线)期末押题预测卷01(范围:选择性必修第二册、选择性必修第三册)-【单元测试】2022-2023学年高二数学分层训练AB卷(人教A版2019)福建省长乐第一中学2022-2023学年高二下学期第二次月考数学试题山东省济宁市嘉祥县第一中学2022-2023学年高二下学期5月月考数学试题广东省汕头市潮阳一中明光学校2022-2023学年高二下学期期中数学试题黑龙江省牡丹江市第三高级中学2023-2024学年高二下学期期中考试数学试卷
名校
10 . 当a>0时,若不等式
恒成立,则
的最小值是__________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4f9e97c65f436f478746e17264534040.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0c6ce02259a85ea191541f4a708738f1.png)
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2022-04-30更新
|
1084次组卷
|
5卷引用:河北省邢台市第二中学2021-2022学年高二下学期第三次月考数学试题
河北省邢台市第二中学2021-2022学年高二下学期第三次月考数学试题江苏省盐城中学2021-2022学年高二下学期期中数学试题(已下线)期末押题预测卷04(考试范围:选修二+选修三)-2021-2022学年高二数学下学期期末必考题型归纳及过关测试(人教A版2019)宁夏中卫市2023届高三二模数学(理)试题辽宁省沈阳市东北育才学校2023届高三高考适应性测试(二)数学试题