1 . 已知
,
.
(1)若
,求
的最大值;
(2)若
,证明:
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/94440d3e4c073f94f2b266ff99d50e74.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/67ca5fd57c2c2fcc3c7a574fdd1467d9.png)
(1)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d4019baa5e05405fbfe3d7f52b30340c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0c6ce02259a85ea191541f4a708738f1.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ff011f23cd2180d249e9630021d6f74e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a518b474c2ce652d9e2ef013c666e1ac.png)
您最近一年使用:0次
2023-02-16更新
|
242次组卷
|
3卷引用:陕西省榆林市2022-2023学年高一上学期期末数学试题
名校
2 . 已知函数
,对于任意
,
,则( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/942c2141d01bde6b48210c56a17fc75e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e64541d7f445079207b6f671adc7d662.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1638740ba651b56d0c833fe93d9995e4.png)
A.![]() | B.![]() |
C.![]() | D.![]() |
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2023-02-15更新
|
1248次组卷
|
7卷引用:江苏省南京市2022-2023学年高一上学期期末数学试题
3 . 已知
,
,且
,则下列结论正确的是( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/94440d3e4c073f94f2b266ff99d50e74.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/67ca5fd57c2c2fcc3c7a574fdd1467d9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5be97cd1c7111b654d87d8fbb63b6a84.png)
A.![]() | B.![]() | C.![]() | D.![]() |
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2023-02-15更新
|
300次组卷
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2卷引用:河北省邯郸市2022-2023学年高一上学期期末数学试题
名校
解题方法
4 . 已知F是抛物线
的焦点,O为坐标原点,A,B是抛物线C上的两点,
的中点M在C的准线上的投影为N,则( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1bb4dd4670828f75bc573b52cdd02e1d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f52a58fbaf4fea03567e88a9f0f6e37e.png)
A.曲线C的准线方程为![]() | B.若![]() ![]() ![]() |
C.若![]() ![]() | D.若![]() ![]() |
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2023-02-14更新
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505次组卷
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2卷引用:湖南省长沙市明德中学2022-2023学年高二上学期期末数学试题
名校
5 . 已知
,
,且
,则( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/94440d3e4c073f94f2b266ff99d50e74.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/67ca5fd57c2c2fcc3c7a574fdd1467d9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fd98ce07e05c58d83a48d90dfcb28fd2.png)
A.![]() | B.![]() | C.![]() | D.![]() |
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2023-01-14更新
|
946次组卷
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3卷引用:山东省烟台市2022-2023学年高三上学期期末数学试题
6 . 已知
,
,且
,证明.
(1)
;
(2)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/94440d3e4c073f94f2b266ff99d50e74.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/67ca5fd57c2c2fcc3c7a574fdd1467d9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4a7dbc702617c765a573961953cc0901.png)
(1)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2befa5495b1a14cfcb2d7d2c633cf40c.png)
(2)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8ae2297a11f26208aa33f3fe92a67cb4.png)
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名校
解题方法
7 . 已知
,
都是正数.
(1)若
,证明:
;
(2)当
时,证明:
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2c94bb12cee76221e13f9ef955b0aab1.png)
(1)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1d631778d0211a089118d56802249386.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4e3c64e201a305d19369c31186d318fe.png)
(2)当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2958030ec9d7543dda1f529593a915e2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b0adda910b4cb356521622488b8a3a73.png)
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2023-01-13更新
|
544次组卷
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6卷引用:山东省菏泽市鄄城县第一中学2022-2023学年高一上学期期末数学试题
山东省菏泽市鄄城县第一中学2022-2023学年高一上学期期末数学试题湖南省长沙市宁乡市第十三高级中学2022-2023学年高一上学期期末数学试题(已下线)2.2 基本不等式精讲-【题型分类归纳】(已下线)3.2 基本不等式(1)-【帮课堂】(苏教版2019必修第一册)(已下线)高一上学期期中复习【第二章 一元二次函数、方程和不等式】九大题型归纳(拔尖篇)-举一反三系列(已下线)高一上学期期末复习【第二章 一元二次函数、方程和不等式】(拔尖篇)-举一反三系列
名校
解题方法
8 . 已知函数
是定义域
上的奇函数,且满足
.
(1)判断函数
在区间
上的单调性,并用定义证明;
(2)已知
、
,且
,若
,证明:
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8717af5b57ca8eb3402b17118fec7a04.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a43b2faa4f81f32d94612dce724e772b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bd5241fb74491664870e31e263ee2b9e.png)
(1)判断函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7160d93f92089ef36f3dab809d3114b8.png)
(2)已知
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/673207f6b77b8192d25463d071737b7c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7493c0fcdc634aa03efb6be277e23769.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/26d8dafc71b106f39f4e15442220897b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/859458471c86ae39e0cc42d2d960d03e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/03ca13a93b5f401c0d39ba52b0cffcb0.png)
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2023-01-11更新
|
594次组卷
|
3卷引用:湖北省武汉外国语学校2022-2023学年高一上学期期末数学试题
名校
9 . 已知数列
,
满足
,
,
,
,则下列选项错误的是( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/034ba25825c13725931c483aa47c9363.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/039e4fe671d61e59b96ee525c9df43e8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3a24e6bcf49b8e45531a2d4e4c70c181.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6ad2310c8ebba63745d6a448078483d4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e145b6046bc80d0ffecc61ac67c87ca1.png)
A.![]() | B.![]() |
C.![]() | D.![]() |
您最近一年使用:0次
解题方法
10 . 已知函数
,则下列命题正确的有______ .(写出所有正确命题的编号)
①对于任意
,
,都有
成立;
②对于任意
,
,且
,都有
成立
③对于任意
,
,且
,都有
成立;
④存在实数
,使得对于任意实数
,都有
成立.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/246de316aacce5e2a1b482840ff02f82.png)
①对于任意
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c814128ea2139e33db94ea590e7c2223.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b1bf60c5e8996d138198fe74f30ce520.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b4e9b0e8693d64d9a59287e4802c535a.png)
②对于任意
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c814128ea2139e33db94ea590e7c2223.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b1bf60c5e8996d138198fe74f30ce520.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/33bd24e647a626899a243a3f3984f90a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9a1ead3649f31edf06d49f015dd7ece3.png)
③对于任意
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c814128ea2139e33db94ea590e7c2223.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b1bf60c5e8996d138198fe74f30ce520.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/33bd24e647a626899a243a3f3984f90a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/deb572cf70a40f65fb90f3e93cdc439b.png)
④存在实数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ef96e6e80e958f6ae218594d4aa2f8b9.png)
您最近一年使用:0次