名校
1 . 设
,
,
,则
,
,
的大小关系为( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d7a56ba243e47d7462356471a77eb2a7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e4e08b5af66e6e93886a7472cf8b7a6a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ad8fb7f54ac81e2617c3d12bc6607581.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2c94bb12cee76221e13f9ef955b0aab1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/071a7e733d466949ac935b4b8ee8d183.png)
A.![]() | B.![]() | C.![]() | D.![]() |
您最近一年使用:0次
2024-03-12更新
|
352次组卷
|
2卷引用:广东省深圳市高级中学2023-2024学年高一上学期期末数学试题
解题方法
2 . 【多选题】下列命题中,为真命题的有( )
A.![]() | B.![]() |
C.![]() | D.![]() |
您最近一年使用:0次
3 . 已知函数
在区间
上的最小值为
.
(1)求常数
的值;
(2)将函数
向右平移
个单位,再向下平移
个单位,得到函数
,请求出函数
,
的单调递减区间.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15ef71756ef8bfae1442a859d0a60392.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/44d51992c05a557cf6058664f1f8961e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5ca7d1107389675d32b56ec097464c14.png)
(1)求常数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294f5ba74cdf695fc9a8a8e52f421328.png)
(2)将函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15615de1a6df206dbd081251f676578e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b8860d9787671b53b1ab68b3d526f5ca.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4669810732b633b60dbeaf0bf57204f6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1938c093dd2fbcb752d0eb7a18d143b2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/22c1547d887b29e39542997731a5288b.png)
您最近一年使用:0次
名校
解题方法
4 . 已知双曲线
(
),以双曲线C的右顶点A为圆心,b为半径作圆A,圆A与双曲线C的一条渐近线交于M,N两点,若
,则双曲线的离心率为( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2c5c2e64358e0ec7aa142c336d970306.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2684b72f9f38f5046c8ecd4280b7b14b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f3181e58f09e9fec4e43e422b82831b7.png)
A.![]() | B.![]() | C.![]() | D.2 |
您最近一年使用:0次
2024-02-23更新
|
804次组卷
|
3卷引用:广东省深圳市深圳外国语学校2024届高三上学期第一次调研数学试题
解题方法
5 . △
三个顶点是
,圆
是△
的外接圆.
(1)求圆
的标准方程;
(2)若过点
的直线
被圆
截得的弦长为
,求直线
的方程.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7bef5239ddbb0972700ce01daf9ee7cf.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/279c0b059accdc5ca82fc8d7187325e7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2a30f3a8b673cc28bd90c50cf1a35281.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7bef5239ddbb0972700ce01daf9ee7cf.png)
(1)求圆
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2a30f3a8b673cc28bd90c50cf1a35281.png)
(2)若过点
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f5f62c2da79dda59abcf3174dcede26f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f85fca60a11e1af2bf50138d0e3fe62.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2a30f3a8b673cc28bd90c50cf1a35281.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cd3304e23f3b0f9569c4140ca89b6498.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f85fca60a11e1af2bf50138d0e3fe62.png)
您最近一年使用:0次
解题方法
6 . 已知椭圆
(
),四点
,
,
,
,中恰有三点在椭圆
上.
(1)求
的方程;
(2)设
、
是
的左、右顶点,直线
交
于C、D两点,直线
、
的斜率分别为
、
.若
;
①证明:直线
过定点;
②求四边形
面积
的最大值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f8751dd1ee69f44e0744368a149160ec.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5a0c4c098615c6bc7e6dcf72e5b5201a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a2c885060fb3c677d9754030d310a5b5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a96526802f1de50bbb360946022ee239.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/64c2aca53265ba324952469142347aed.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/214f381d1e3b5f4b399040b868b99513.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2a30f3a8b673cc28bd90c50cf1a35281.png)
(1)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2a30f3a8b673cc28bd90c50cf1a35281.png)
(2)设
![](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/2a30f3a8b673cc28bd90c50cf1a35281.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f85fca60a11e1af2bf50138d0e3fe62.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2a30f3a8b673cc28bd90c50cf1a35281.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/60ef95894ceebaf236170e8832dcf7e3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d40b319212a7e7528b053e1c7097e966.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6defc43285a40f7ccb74c1cc04265eba.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/423b7ae39db552e60ee8b1d27312306f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/55aa229bf87fbe778a2222372027d5ec.png)
①证明:直线
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f85fca60a11e1af2bf50138d0e3fe62.png)
②求四边形
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9c593ebdb2f1934a0cb56f8c44f454f8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cf231f8f86fb922df4ca0c87f044cec3.png)
您最近一年使用:0次
名校
解题方法
7 . 已知函数
,设
,则
的最小值为( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7d9a4c09d2c7712343bcd6b91449a062.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/655c473a2832a9ba25501baa647f9809.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8f6bfdb24ecf5da863405c2b40936ff9.png)
A.1 | B.![]() | C.9 | D.![]() |
您最近一年使用:0次
名校
8 . 已知函数
在
内解的个数为( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/19e347029bd4c19bf9a3ee25f8d3350f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/39d3ce21e2e3bc417c4cf7aa3cac4411.png)
A.1 | B.2 | C.3 | D.4 |
您最近一年使用:0次
解题方法
9 . 已知椭圆
过点
,左焦点为
,过点
的直线
与椭圆
交于
两点,动点
在直线
上,直线![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e3448def59c9f5bb5168a510e74b28e1.png)
的斜率分别为
.
(1)求椭圆
的标准方程;
(2)问是否存在实数
,使得
恒成立,如果存在,请求出
的值,如果不存在,请说明理由.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d7d72a07a4e5acfc140a3cea1f26b951.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dea8a480a2fe03293cb8303da8837d7d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/46542271c7fa06f33b222424838c9684.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/16f36374ce95a4945d0e58264c2b271f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f85fca60a11e1af2bf50138d0e3fe62.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e52586ca2a3b783bc8092415e2d4bf6d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac047e91852b91af639feec23a9598b2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f23d29646155e27b172ecdf263e2d702.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e3448def59c9f5bb5168a510e74b28e1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2d567bdeba9b8e17d0911f594e141eed.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8662be7d259210ad509ceac151d063c6.png)
(1)求椭圆
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
(2)问是否存在实数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/df64046e91b047037f19e4032e3b6de3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ccc0e52a5009b8a725ea17fbb31b34bb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/df64046e91b047037f19e4032e3b6de3.png)
您最近一年使用:0次
解题方法
10 . 已知
是抛物线
的焦点,
是拋物线上一点,目
.
(1)求抛物线
的方程;
(2)直线
与拋物线
交于
两点,若
(
为坐标原点),则直线
否会过某个定点?若是,求出该定点坐标.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a0ed1ec316bc54c37c4286c208f55667.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7e6c830bfa9a1b979a1a9665166424bf.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6a9c9e4c323dbf2cd2d53881dc40bea1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4f7af88fa4d520e50e7904f04cb30bde.png)
(1)求抛物线
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
(2)直线
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f85fca60a11e1af2bf50138d0e3fe62.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/01c74a907dda6bb7d9d56d009d9df253.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15aab800f41f7a47bde139498e19d294.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1dde8112e8eb968fd042418dd632759e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f85fca60a11e1af2bf50138d0e3fe62.png)
您最近一年使用:0次