1 . 定义在
上的函数
满足
,且当
时,
,若任意的
,不等式
恒成立,则实数
的取值范围是_________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a43b2faa4f81f32d94612dce724e772b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cf116ecbdb894c1d05d5b3b5203c10a6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a6e2e79843faf62dde86bf858d1e0569.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/db5459d6a78076fedf0e91a7ea287f20.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/68513f9f7c2cf34c34d4aadc4433cf59.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/64118ef72dbcef6b26247adbeb18389b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294f5ba74cdf695fc9a8a8e52f421328.png)
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解题方法
2 . 已知以坐标原点为圆心的圆
过点
是圆
上关于原点对称的两点,以
为直径作圆与直线
交于
两点,若
,则直线
的方程为______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1dde8112e8eb968fd042418dd632759e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/edfe789b751d0a96c38358623479c7e0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1dde8112e8eb968fd042418dd632759e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/84d454c82d9e52747563d47b68099249.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7a5f1641947153c80b987320885a2b57.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d8ca00309261a540934d9b3ed9ba05b6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/08c83ae498db69a5ceb92d150f2d953f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7a5f1641947153c80b987320885a2b57.png)
您最近一年使用:0次
3 . 已知
,其中
为自然对数的底数.
(1)求证:
有且只有两个零点;
(2)求证:
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dde083742636d8ff55411e66e982a1a1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/041a7c8fc017f596542c5e6ec7d1c40b.png)
(1)求证:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
(2)求证:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cd29f0bf37db907883439f4de39dc4f6.png)
您最近一年使用:0次
4 . 已知函数
,
,
.
(1)求函数
的单调区间;
(2)若对任意
,
的图象始终在
的上方,求实数
的最大整数值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4c7ed99a74e126a05cb520f19c094020.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/28c4c0688af1b9c1bb748ebc72dc59de.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c36b234ba460321e811de1729eadd4b6.png)
(1)求函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8a323e016a1d051b62e5d26076bee30e.png)
(2)若对任意
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4921923069c4f38a0af1ff8637e35b3c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4669810732b633b60dbeaf0bf57204f6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f0a532e15e232cb4b99a8d4d07c89575.png)
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5 . 已知数列
的前
项和为
,且满足
,若
对于任意的正整数
恒成立,则实数
的取值范围为______ .
![](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/c8370a173854471a3eb27637993a3d5d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6f69ee393a7b89f76ea10a9647bb29bd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b6a24198bd04c29321ae5dc5a28fe421.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/df64046e91b047037f19e4032e3b6de3.png)
您最近一年使用:0次
2024-02-25更新
|
248次组卷
|
2卷引用:1号卷·A10联盟2022届全国高考第一轮总复习试卷数学(理科)试题(二十四)
解题方法
6 . 四棱锥
中,侧面
为等边三角形,底面
为矩形,
,顶点S在底面
的射影为H,当H落在
上时,四棱锥
体积的最大值是( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/faeb97acf19bd3b2c6c77c2814df4d2f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/21665d21bbfb04410c78345de1fd15ae.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411b38a18046fea8e9fab1f9f9b80a5f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8694cd29f8b7b266a7b48661d0e4420b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411b38a18046fea8e9fab1f9f9b80a5f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/03902478df1a55bc99703210bccab910.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/faeb97acf19bd3b2c6c77c2814df4d2f.png)
A.1 | B.![]() | C.2 | D.3 |
您最近一年使用:0次
2024-02-25更新
|
367次组卷
|
3卷引用:1号卷·A10联盟2022届全国高考第一轮总复习试卷数学(文科)试题(十六)
7 . 已知函数
.
(1)若函数
仅有1个零点,求实数a的取值范围;
(2)已知
,
,求实数a的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2ea764080dd9860df23c7022ca914ea6.png)
(1)若函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
(2)已知
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b5147afedf2c3ee60cf05a06e4a49fea.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9b26e4a833696621ba4cbe36b61aa18d.png)
您最近一年使用:0次
名校
8 . 已知函数
的图象的两相邻对称轴之间的距离为
,且在
时取得最大值2.
(1)求函数
的解析式;
(2)当
时,若方程
恰有三个根,分别记为
,求
的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6df94a45a83636c4603aeae49eb44473.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d49f8a63ddbca52039fa9ab44cda6b29.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7de633b2c143b9f76b29cde1c6ffce71.png)
(1)求函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
(2)当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d12d6804ac95bb944d0fa77c6f2813e4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/338316b0fe50fdea0f2f75aec4c990dd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/05b8ec9d4206ea66a02de5c4a1e1e911.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/35bacde908aec2c313978fc4309d82bc.png)
您最近一年使用:0次
2024-02-25更新
|
736次组卷
|
2卷引用:1号卷·A10联盟2022届全国高考第一轮总复习试卷数学(理科)试题(六)
解题方法
9 . 已知函数
.
(1)求函数
在区间
上的最值;
(2)求证:
.
(参考数据:
)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/366ebed313172a029b6525980a60d2e2.png)
(1)求函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e1279ef84071f5ad7c4c1681357edd84.png)
(2)求证:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ba5301ffe7ff13e2ae5f63afcddaa6fb.png)
(参考数据:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7fdcd7fb69ba1cf98b6992cd5a508e24.png)
您最近一年使用:0次
10 . 若函数
为偶函数,且当
时,
,则不等式
的解集为( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/52ea36101bd7f0cefa20125125903e0e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a5b1e123a2b615be0baeef83bd218bce.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fbdfe48038034eb671b3852e261c24f3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fc342d538112c958a3252c5cb3e6ecc1.png)
A.![]() | B.![]() |
C.![]() | D.![]() |
您最近一年使用:0次