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
2 . 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)
3 . 已知圆锥
的母线长为3,轴截面(过圆锥的轴的平面截圆锥所得截面)等腰三角形的顶角记为
是底面圆
的直径,点
是
的中点.若侧面展开图中,
为直角三角形,则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/71e8049420fef85bedb67023f5ab5314.png)
_________ ,该圆锥中过两条母线的最大截面的面积为_________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/18e5ef91fb27dd684a27ae7f1993cfba.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/84f48ad3c65753755203893b13fe7294.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1dde8112e8eb968fd042418dd632759e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac047e91852b91af639feec23a9598b2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8a6e2867f32d3f1c3cd36cd3a11a8580.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/20a5e0a51c9e14fb246b0ba0b231c1e3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/71e8049420fef85bedb67023f5ab5314.png)
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2023-08-01更新
|
162次组卷
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2卷引用:宁夏吴忠市2022-2023学年高一下学期期末联合调研考试数学试题
名校
4 . 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)
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2023-08-22更新
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460次组卷
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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)
名校
5 . 传说古希腊毕达哥拉斯学派的数学家用沙粒和小石子来研究数他们根据沙粒或小石子所排列的形状把数分成许多类,下图中第一组的1,3,6,10称为三角形数,第二组的1,5,12,22称为五边形数,则三角形数的第7项为___________ ,五边形数的第n项为___________ .
![](https://img.xkw.com/dksih/QBM/editorImg/2023/3/22/232d818c-663b-421e-b90e-15b50e94d206.png?resizew=440)
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6 . 我们知道,函数
的图象关于
轴成轴对称图形的充要条件是函数
为偶函数,有同学发现可以将其推广为:函数
的图象关于
成轴对称图形的充要条件是函数
为偶函数.已知函数
,则该函数图象的对称轴为![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4ec0618ae3a4fde6d6220010af229b9a.png)
__________ ;若该函数有唯一的零点,则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/380bbacf854e30e2e747fc286d2b9997.png)
__________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/942c2141d01bde6b48210c56a17fc75e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d053b14c8588eee2acbbe44fc37a6886.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/942c2141d01bde6b48210c56a17fc75e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/942c2141d01bde6b48210c56a17fc75e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/54b53b86bd516400d6fa7dabb3603f31.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bf4fcb96325645071888ff481e0c76ed.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7282d1a9cfdc42b5f6c28fc0b6b5a774.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4ec0618ae3a4fde6d6220010af229b9a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/380bbacf854e30e2e747fc286d2b9997.png)
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2023-02-11更新
|
179次组卷
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3卷引用:宁夏回族自治区石嘴山市2023-2024学年高一上学期期末测试数学试卷
7 . 对于三次函数![](https://staticzujuan.xkw.com/quesimg/Upload/formula/19951f3364fb04433feed743bc37975d.png)
,给出定义:设
是函数
的导数,
是
的导数,若方程
有实数解
,则称点
为函数
的“拐点”,同学经过探究发现:任何一个三次函数都有“拐点”;任何一个三次函数都有对称中心,且拐点就是对称中心,若
,请你根据这一发现,求:(1)函数
的对称中心为___________ ;(2)计算![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7cb8378ae701d9f5a5d66da3cf62c65d.png)
___________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/19951f3364fb04433feed743bc37975d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8f5bb89c3ad435f1ef59307b174105ed.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/724340d69477c0ec2418c392b22b1cab.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/942c2141d01bde6b48210c56a17fc75e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/10acd6d864583617dd3e71240bf0c857.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/724340d69477c0ec2418c392b22b1cab.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/df1fa6ca9eb7cea9131dad36db6a0ac6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/79b752f0f189e5d8666daea73e145dff.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/43db00e106c7d08a76a7ba71ca5e63d1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/942c2141d01bde6b48210c56a17fc75e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c7ed163db8f836e5399406e6d8a7fbd3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7cb8378ae701d9f5a5d66da3cf62c65d.png)
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2021-10-23更新
|
656次组卷
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10卷引用:宁夏石嘴山市第三中学2023-2024学年高二上学期期末数学试题
(已下线)宁夏石嘴山市第三中学2023-2024学年高二上学期期末数学试题江苏省盐城市大丰区新丰中学2022-2023学年高二上学期期末数学试题(已下线)期末考试押题卷一(考试范围:苏教版2019选择性必修第一册)-【帮课堂】2023-2024学年高二数学同步学与练(苏教版2019选择性必修第一册)北京市第一六一中学2022届高三10月月考数学试题江苏省淮安市高中校协作体2021-2022学年高三上学期期中联考数学试题(已下线)第1讲 函数的图象与性质(练 )-2022年高考数学二轮复习讲练测(新教材·新高考地区专用)(已下线)考向08 函数的奇偶性、周期性与对称性(重点)(已下线)第24讲 章末检测四-备战2023年高考数学一轮复习考点帮(新高考专用)江苏省徐州市第七中学2022-2023学年高三上学期12月学情检测数学试题江苏省南菁高级中学2023-2024学年高二下学期5月月考数学试题
8 . 大西洋鲑鱼每年都要逆流而上游回产地产卵.研究鲑鱼的科学家发现鲑鱼的游速v(单位:
)可以表示为
,其中O表示鱼的耗氧量的单位数.当一条鱼的耗氧量是2700个单位时,它的游速是
,则a=__________ ;当这条鱼静止时耗氧量的单位数为__________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/22964de2a093c97a8755dbe70487735e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/565bfd21b6b8e557bae9b8b56860889b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f0a7e60a3df019210d94e0001f34cae9.png)
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名校
9 . 圆
的圆心坐标_________ ,半径=_________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c171c8206321869c402f0caf587b8747.png)
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10 . 如图所示,某地区为了绿化环境,在区域
内大面积植树造林,第
棵树在点
处,第
棵树在点
处,第
棵树在点
处,第
棵树在点
处,根据此规律按图中箭头方向每隔
个单位种
棵树,那么:
![](https://img.xkw.com/dksih/QBM/editorImg/2022/11/7/af825ec2-0976-4ce0-a8c9-dde80028f44d.png?resizew=147)
(1)第
棵树所在点的坐标是
,则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f3cb8d72bb2e281b943b3b430138ef7.png)
______ ;
(2)第
棵树所在点的坐标是______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6a6405a18bfe6f4865e59f0332003ade.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bdaa19de263700a15fcf213d64a8cd57.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f8c98fcb6e7932a7e0df506849a6f506.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/61128ab996360a038e6e64d82fcba004.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/deba28de8018535790f6d1cdc2991518.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5ca7d1107389675d32b56ec097464c14.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ad9e080dae80c7243a823f9828476c8a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b8860d9787671b53b1ab68b3d526f5ca.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7a8fa7e23e002ef1027b9f941efbf1dc.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bdaa19de263700a15fcf213d64a8cd57.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bdaa19de263700a15fcf213d64a8cd57.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2022/11/7/af825ec2-0976-4ce0-a8c9-dde80028f44d.png?resizew=147)
(1)第
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b6a24198bd04c29321ae5dc5a28fe421.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/22bd3f6eece37386ce3c3c871b3e380f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f3cb8d72bb2e281b943b3b430138ef7.png)
(2)第
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/151e5633a5d0cc30b254167e3dda5803.png)
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2021-01-02更新
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6卷引用:宁夏银川市贺兰县第二高级中学2023-2024学年高二上学期期末考试数学试卷
宁夏银川市贺兰县第二高级中学2023-2024学年高二上学期期末考试数学试卷(已下线)专题04+等差数列-2020-2021学年【补习教材·寒假作业】高二数学(文)(人教A版)(已下线)专题04+等差数列-2020-2021学年【补习教材·寒假作业】高二数学(理)(人教A版)(已下线)专题09+等差数列-2020-2021学年【补习教材·寒假作业】高二数学(人教A版2019)(已下线)专题4.6 《数列》单元测试卷(B卷提升篇)-2020-2021学年高二数学选择性必修第二册同步单元AB卷(新教材人教A版,浙江专用)江苏省镇江市扬中市第二高级中学2021-2022学年高二下学期期初数学试题