名校
解题方法
1 . 已知命题
:若
,则
.能说明
为假命题的一组
的值为![](https://staticzujuan.xkw.com/quesimg/Upload/formula/380bbacf854e30e2e747fc286d2b9997.png)
______ ,![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5ccd4162c7d09f970cb77cadacdbe521.png)
_______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b1010846eeec6c9da29640f5aa3f8738.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e01fcfb24020eefd6ade70045ce0acdc.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1871838f9f435161870cb600093db314.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b1010846eeec6c9da29640f5aa3f8738.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9c974dafd7f992c28eb67787daa6387b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/380bbacf854e30e2e747fc286d2b9997.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5ccd4162c7d09f970cb77cadacdbe521.png)
您最近一年使用:0次
2024-01-22更新
|
338次组卷
|
2卷引用:北京市石景山区2024届高三上学期期末数学试题
2 . 若
,则
的最_____ 值是_________ ,此时![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4ec0618ae3a4fde6d6220010af229b9a.png)
_______ ,![](https://staticzujuan.xkw.com/quesimg/Upload/formula/070d1ea22a92808dad7489438c239629.png)
________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cd62a09f6dca011e42d5a1298ed99bc7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6f29d5f376c75c41ae6af0c8a8565449.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4ec0618ae3a4fde6d6220010af229b9a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/070d1ea22a92808dad7489438c239629.png)
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名校
3 . 已知
,
,
,则xy的最大值是( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/08115d6d9f876dea921a4d32260ff1fb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/061813f1ec633c5c4c393c4de7938322.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6ceec4b56e0743426ce72c3fc50c0333.png)
A.![]() | B.![]() | C.![]() | D.1 |
您最近一年使用:0次
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4 . 已知正数
满足
,则
的最大值是______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/632244ea6931507f8656e1cc3437d392.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c4fa0703a5c19f2c9b3bcbb195c576cc.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/18f0281e6bbdbe08beeccb55adf84536.png)
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解题方法
5 . 已知正整数集合
,对任意
,定义
.若存在正整数
,使得对任意
,都有
,则称集合
具有性质
.记
是集合中的
最大值.
(1)判断集合
和集合
是否具有性质
,直接写出结论;
(2)若集合
具有性质
,求证:
;
(3)若集合
具有性质
,求
的最大值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9a7a9e7e09bc439aff2d7634baaa11f2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/74c82041fe50dc35452e84b0f00abce3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e630ff604dbab4752da10e6374770224.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f0a532e15e232cb4b99a8d4d07c89575.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5c59c02b8925749d0791cefea7b5d547.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1bf3bb29ba0bee7c4ab257d3c28fd19f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cf231f8f86fb922df4ca0c87f044cec3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a1baf30f84a1797c8e345c624e6cab1c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/36f84d35772b331e50e7e145957d081e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/80cb36dae09ce9b02ae303034637f3e7.png)
(1)判断集合
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0ca717c6a55e786238e64f7ebd69b9b2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/805d4e511d914a3f9f9d0b8872932644.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d1282962a17a48a18edf733204054d67.png)
(2)若集合
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cf231f8f86fb922df4ca0c87f044cec3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/287adcb739a4890d108dd974358345fa.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f2230aaaaa6fbb3566fed605419c4be.png)
(3)若集合
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cf231f8f86fb922df4ca0c87f044cec3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a1baf30f84a1797c8e345c624e6cab1c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b6a24198bd04c29321ae5dc5a28fe421.png)
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解题方法
6 . 已知
,则函数
的最大值等于______ ,取最大值时![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4ec0618ae3a4fde6d6220010af229b9a.png)
______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ca542e78b7d77d008c9c4752afa91a55.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ce9bf00816945629bfcde112091af785.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4ec0618ae3a4fde6d6220010af229b9a.png)
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7 . 若直角三角形斜边长等于4,则该直角三角形面积的最大值为__________ .
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解题方法
8 . 已知圆
的方程为
,直线
过点
.
(1)求过点P且与圆
相切的直线
的方程;
(2)从下列两个条件中任选一个补充在问题中并作答:
若圆
与直线
交于
,
两点,______,求直线
的方程;
条件①:
;条件②:
是等腰直角三角形.
(3)若圆
与直线
交于
,
两点,求
面积的最大值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f240cccaf24af8a796abb95cb42be52e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f85fca60a11e1af2bf50138d0e3fe62.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/530e5817131adf2c05b99ff18eb9060f.png)
(1)求过点P且与圆
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f85fca60a11e1af2bf50138d0e3fe62.png)
(2)从下列两个条件中任选一个补充在问题中并作答:
若圆
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f85fca60a11e1af2bf50138d0e3fe62.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7f9e8449aad35c5d840a3395ea86df6d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f85fca60a11e1af2bf50138d0e3fe62.png)
条件①:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4cc0f254c3efd3116c884ce363144d85.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/90b40c2b0ab8e1cfe5112d428b4b829f.png)
(3)若圆
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f85fca60a11e1af2bf50138d0e3fe62.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7f9e8449aad35c5d840a3395ea86df6d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/90b40c2b0ab8e1cfe5112d428b4b829f.png)
您最近一年使用:0次
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9 . 已知x,
,若
,则( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/95cccdff49c3efe6e7a7dbbf69db9319.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1d61985901c2bc698d72ac88f4e1eb65.png)
A.xy的最大值为1 | B.xy的最大值为2 | C.xy的最小值为1 | D.xy的最小值为2 |
您最近一年使用:0次
2023-11-02更新
|
387次组卷
|
2卷引用:北京市人大附中2023-2024学年高一期中数学试题
解题方法
10 . 设等差数列
的前
项和为
,且
,则
的最大值为( )
![](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/fca2cc2768794136c1e4da47d2f0873e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8344510c685e0c78bf3b3c46b72d82ec.png)
A.![]() | B.3 | C.9 | D.36 |
您最近一年使用:0次
2023-11-02更新
|
870次组卷
|
2卷引用:北京市海淀区2024届高三上学期期中练习数学试题