名校
1 . 已知函数![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0b455c09ae609a3a2a24fe0999547e4a.png)
,则下列结论正确的是( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0b455c09ae609a3a2a24fe0999547e4a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/41d5b338ddbc0bac8c8f25e036314fe1.png)
A.当![]() ![]() |
B.若经过原点的直线与![]() ![]() ![]() |
C.若![]() ![]() ![]() ![]() |
D.若![]() ![]() ![]() ![]() |
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解题方法
2 . 已知函数
,
,(
且
)
(1)若
,讨论
的单调性
(2)若
,求证:![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5f8779e5a2013c95014666edf30f695a.png)
(3)若
恒成立,求
的取值范围
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/72e349f49908801a73999320f7a49820.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c773633c5cfdccc24ee6388dc11b88e3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/94440d3e4c073f94f2b266ff99d50e74.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c400a615a16a1662de98dfb4e49d58d3.png)
(1)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4b8543be878ad77b0913b41ef54c492e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a813b5adbf5c7082561237894ba6d599.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b0ffecb03c47be920254c4ccffa5b222.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5f8779e5a2013c95014666edf30f695a.png)
(3)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/daa18838a13fda4e45612c32cdf98b71.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
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解题方法
3 . 已知函数
.
(1)求函数
的极大值和极小值;
(2)若关于
的不等式
在
上恒成立,求实数
的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0ed43a9b4cfb9adc079cbe481b34a831.png)
(1)求函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
(2)若关于
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5d0d92fc7105fedc3b1d7d97e023899d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fe86cace140f2c3588ab115837bbfc9e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294f5ba74cdf695fc9a8a8e52f421328.png)
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解题方法
4 . 已知函数
.
(1)若函数
在点
处的切线与直线
平行,求函数
的极值;
(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/9ea4506150bdab1ee00533bc364ef0d9.png)
(1)若函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7ea9824af71c9da5db5a00ec06063024.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/36eaa4e819d4643ce02c8f3abf78b454.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0b550ee821ee1838384835e81fc34b67.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ed3159b56fe2c7a1b3e07432d7f3b90e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/26d8dafc71b106f39f4e15442220897b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b002984f78586fa9a6c987041355c1a1.png)
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5 . 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
|
754次组卷
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5卷引用:河北省邯郸市十校联考2023-2024学年高二下学期一调考试数学试题
名校
6 . 已知函数
,则下列说法错误的是( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/254d3bcbf7948d0818f574e6af514a19.png)
A.当![]() ![]() |
B.当![]() ![]() |
C.若![]() ![]() |
D.若方程![]() ![]() |
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7 . 令
,对抛物线
,持续实施下面牛顿切线法的步骤:在点
处作抛物线的切线交
轴于
;在点
处作抛物线的切线,交
轴于
;在点
处作抛物线的切线,交
轴于
;由此能得到一个数列
,且数列
满足
,
,
.回答下列问题.
(1)设
,求
的解析式;
(2)证明数列
是等比数列并求![](https://staticzujuan.xkw.com/quesimg/Upload/formula/da5145567462a9d3bed6c97fb07b2d9d.png)
(3)设数列
的前
项和为
,若不等式
对任意的
恒成立,求
的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ff2b53cd9892f6d174509740afbc69d6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/942c2141d01bde6b48210c56a17fc75e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/408b5fe83aaebc38dad12ce4078e92e7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c9df2062940530232ab124a571e951ed.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d27c0ab3e2d7698f082854bafe4174dc.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2fb652143b43cc9439a347b2b1dc5cf6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6cc47735cc385a3474bc1dabad322304.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/367304824e7eb354ffeb937fa209d80d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e976c0663fa749ca749f99842d21ca03.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/039e4fe671d61e59b96ee525c9df43e8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/192c4daedc8900415241cc1717a279f6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/346549f9adda7eb363f16d355ae68b85.png)
(1)设
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/76c0a98e6d574ec3702340e64bba6c0c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/091f2176a35c27ac4bdddcda85de5bcc.png)
(2)证明数列
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/da5145567462a9d3bed6c97fb07b2d9d.png)
(3)设数列
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b6a24198bd04c29321ae5dc5a28fe421.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/08eb71ecf8d733b6932f4680874dbbf3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4e3d2f5b3ed3ee8ecce9a586f07244e8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/930bc56406e69b785b37a83d48e36724.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/36a1b09c653185842513e24ebba60bb3.png)
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解题方法
8 . 已知函数
.
(1)若
恒成立,求实数
的取值范围;
(2)设
满足
,证明:
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d2708a1682ea700eacab1dd03e1fc4b1.png)
(1)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/22e38c541dec8fce1d26886e5ef7d21f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f0a532e15e232cb4b99a8d4d07c89575.png)
(2)设
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a7abcc774655c0561987ba6e657160d6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2037b0bad7c7a312bac1ac0653d9a491.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/03ca13a93b5f401c0d39ba52b0cffcb0.png)
您最近一年使用:0次
2024-05-20更新
|
531次组卷
|
2卷引用:山西省太原市2023-2024学年高二下学期4月期中学业诊断数学试题
名校
9 . 曲线
在点
处的切线方程为______ ;若当
时,
恒成立,则
的取值范围为______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a055e57ab673eefa580064484efb6f52.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/29343388ca8b33dc98325e65382b38a0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/636289ad84b4a3a51095dd32ca201f94.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7329ba10212286a83bffb9bb24353423.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
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解题方法
10 . 已知函数
.
(1)若
对
恒成立,求实数a的取值范围;
(2)若曲线
与x轴交于A,B两点,且线段AB的中点为
,求证:
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a2ddf36d2a0d775c08be486a3420b68b.png)
(1)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1dc9ede2e55724383dd1093fc7fcdb59.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4b6a8984aa398bf767ccd9a601d77983.png)
(2)若曲线
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/51c530f4b7491b95acb8ce3eef9aa09d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4a9cc958b3fd9d03138be8e204061837.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/75f702bfe1a376398286f1dc3daf8c67.png)
您最近一年使用:0次
2024-05-19更新
|
510次组卷
|
4卷引用:河南省驻马店市新蔡县第一高级中学2023-2024学年高二下学期6月月考数学试题
河南省驻马店市新蔡县第一高级中学2023-2024学年高二下学期6月月考数学试题江西省宜春市第一中学2024届高三下学期第三次模拟考试数学试卷(已下线)专题5 导数与不等式恒成立问题【练】(已下线)大招3 函数不等式问题的速破策略