名校
解题方法
1 . 双曲线E:
(
,
)的左、右焦点分别为
,
,已知点
为抛物线C:
的焦点,且到双曲线E的一条渐近线的距离为
,又点P为双曲线E上一点,满足
.则:
(1)双曲线的标准方程为______ ;
(2)
的面积为______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/19f3fa0b40fb0d9b8c62e37316ab3b04.png)
![](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/f5076289823db419f94e9c0c8f4aafd9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a3fb78c5f885034612c0e030b920143d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a3fb78c5f885034612c0e030b920143d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b48f220f8fc1cb2c4e8ceffec9e2015a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/35361e76a7c85d1886728c8d0200b234.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d124b231bf2cd3746f35e6c68cd7178f.png)
(1)双曲线的标准方程为
(2)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/33d776753746914c2410a3946c357f35.png)
您最近一年使用:0次
名校
解题方法
2 . 已知
,则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/68c66a43bd12b60f74e53f33ad626581.png)
_________ ,
的最小值为__________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2604f572a3a2d44ee91cf709c5017d41.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/68c66a43bd12b60f74e53f33ad626581.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
您最近一年使用:0次
2024-01-19更新
|
650次组卷
|
4卷引用:宁夏青铜峡市宁朔中学2023-2024学年高一下学期开学考试数学试题
宁夏青铜峡市宁朔中学2023-2024学年高一下学期开学考试数学试题北京市丰台区2023-2024学年高一上学期期末练习数学试卷(已下线)【第三课】5.4.1正弦函数、余弦函数的图象+5.4.2正弦函数、余弦函数的性质北京市第三十五中学2023-2024学年高一下学期期中测试数学试卷
3 . 已知
,
,则“
,
”是“
”的______ 条件,“
”是“
”的______ 条件.(填“充分不必要”或“必要不充分”或“充要”或“既不充分也不必要”)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2357ed8dbe6d3911738b8f747d670d3c.png)
![](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/59c328c9c4ec69c4275e27576fb61655.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3aa984f7163c0b5daaf15e1ff4590a0f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/38f0e9c04402a0ffdaa25c3e3c82c7dd.png)
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解题方法
4 . 设数列
的前
项和为
.若
,则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7999465d0e871febde66296a0cbf058c.png)
_____ ,![](https://staticzujuan.xkw.com/quesimg/Upload/formula/04c2864e2ec3416cc4c081ac1f71a0af.png)
_____ .
![](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/c04d3d54e6dd2a8d8be34a70a6fca502.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7999465d0e871febde66296a0cbf058c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/04c2864e2ec3416cc4c081ac1f71a0af.png)
您最近一年使用:0次
5 . 已知抛物线
,直线
交C于
两点,且满足
,(其中
为坐标原点,
异于
点),则直线
恒过定点______________ ,
面积的最小值为______________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7c1ba86ffc6e5542b62319848c14acaa.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f85fca60a11e1af2bf50138d0e3fe62.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8e3a1467ecf286e3cadaf5aa006606f2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cc11e7549cfce9220e70250ac943e457.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1dde8112e8eb968fd042418dd632759e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/01c74a907dda6bb7d9d56d009d9df253.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1dde8112e8eb968fd042418dd632759e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f52a58fbaf4fea03567e88a9f0f6e37e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/866b81a8384cce4f24867baca2e6820c.png)
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解题方法
6 . 设数列
的前
项和为
.若
,则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7999465d0e871febde66296a0cbf058c.png)
______ ,![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e3f7fda69e2b32b9ced2239f915fa59b.png)
______ .
![](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/cbadb836bd64876a79aeb91dac0308dd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7999465d0e871febde66296a0cbf058c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e3f7fda69e2b32b9ced2239f915fa59b.png)
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名校
7 . 将正偶数按如下所示的规律排列:
2
4 6 8
10 12 14 16 18
20 22 24 26 28 30 32
……
则数字2024的位置为第__________ 行,从左向右第___________ 个数.
2
4 6 8
10 12 14 16 18
20 22 24 26 28 30 32
……
则数字2024的位置为第
您最近一年使用:0次
2023-11-27更新
|
335次组卷
|
3卷引用:宁夏吴忠市吴忠中学2023-2024学年高三上学期第四次月考数学(理科)试卷
8 . 已知数列
满足
,若
,则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/04c2864e2ec3416cc4c081ac1f71a0af.png)
______ ;若
,
,
,
,则当
时,满足条件的
的所有项组成的集合为______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/11b81f624af0b90591b990f394bb8e10.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6e4b5779873cb3f4366dbfdb983dec81.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/04c2864e2ec3416cc4c081ac1f71a0af.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2fac0d7e69416cb484c9de1ab124a84a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fc9efeb4455e30293d412938eeea85d5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1cf1336dd233a8630e7266f0a83dea9d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/547343b443dba2d77da457f77c21b204.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/be604061cf1591f7069472269d4c9719.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3e88093a749c0d46e0ee931ecfaff925.png)
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2023-11-14更新
|
196次组卷
|
3卷引用:宁夏回族自治区2023-2024学年高二上学期期末测试数学训练卷(二)(范围:选择性必修第一册 第三章+选择性必修第二册 第四章)
名校
解题方法
9 . 函数在一个周期内的部分取值如下表:
则的最小正周期为
您最近一年使用:0次
2023-05-05更新
|
949次组卷
|
5卷引用:宁夏回族自治区石嘴山市第三中学2024届高三第一次模拟考试数学(理)试题
名校
10 . 已知椭圆
,直线
,则椭圆上的点到直线
距离的最小值为__________ ,最大值为__________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d80a47fd46072cd717442cb378d431ee.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bb591e0492fe0a179f91d5bcb5556c5c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f85fca60a11e1af2bf50138d0e3fe62.png)
您最近一年使用:0次
2023-08-22更新
|
460次组卷
|
2卷引用:宁夏回族自治区银川市贺兰县第一中学2023-2024学年高二上学期期末复习数学试题(三)