名校
解题方法
1 . 已知双曲线
的实轴长为2,顶点到渐近线的距离为
.
(1)求双曲线
的标准方程;
(2)若直线
与
的右支及渐近线的交点自上而下依次为
,证明:
;
(3)求二元二次方程
的正整数解
,可先找到初始解
,其中
为所有解
中的最小值,因为
,所以
;因为
,所以
;重复上述过程,因为
与
的展开式中,不含
的部分相等,含
的部分互为相反数,故可设
,所以
.若方程
的正整数解为
,则
的面积是否为定值?若是,请求出该定值,并说明理由.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2ef66f4832adc43902055a7e6d258037.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/827ccf0c04aa941ba20d5f4c6068b46b.png)
(1)求双曲线
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2a30f3a8b673cc28bd90c50cf1a35281.png)
(2)若直线
![](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/390f2c99d60abc83d9bda1a79995486f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cd1af14f9a53cb0f07d5d28dceba30aa.png)
(3)求二元二次方程
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a6ad120ce64035347eb7325fae9617c6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bb81c100a8985b5cfc606dc60cacd5ce.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/56720e2f2b0ddd72156da495923698da.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c814128ea2139e33db94ea590e7c2223.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3282e5fde4ae53fcb1bb072a685304c9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5acbd95efd8b0cb3e108fce6dc02af80.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1f4d959c570141afd7d0d6abc3969012.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81d350c9707efa6d8bb584395ccc07dd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5bd475f0c71e7e8c66fad3642779dc7b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2d694975be0ce869d210e18f85e583f4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/52e9c5a319966741ff9c3b52fb4de883.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a7ffe8515ff6183c1c7775dc6f94bdb8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a7ffe8515ff6183c1c7775dc6f94bdb8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8c8e7b7827e1735c45c1e5ce59cdd624.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3460cd2f27a53941986606734a9b479a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2a30f3a8b673cc28bd90c50cf1a35281.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3460cd2f27a53941986606734a9b479a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/52b66d595bfea3722fbc56e2fdccd548.png)
您最近一年使用:0次
2 . 已知双曲线
的右顶点为
是双曲线
上两点,过
作斜率为
的直线
,
与双曲线只有
点这一个交点.
(1)求双曲线
的方程;
(2)若
是以
为直角顶点的等腰直角三角形,求
的面积;
(3)已知点
和双曲线上两动点
,满足
,过点
作
于
点,证明:
点在一个定圆上,并求定圆的方程.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2c5c2e64358e0ec7aa142c336d970306.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/05e7542516ded0ce4b169a851da1f08e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/860884c0017c8bceb5b0edff796c144f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f85fca60a11e1af2bf50138d0e3fe62.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f85fca60a11e1af2bf50138d0e3fe62.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
(1)求双曲线
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4c105d6ba18fbb0581fb982175e2eac9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4c105d6ba18fbb0581fb982175e2eac9.png)
(3)已知点
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/62a4ba61e0fe0cb463581292835301f8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7789a500686c7a73770404ead6af0590.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e47f2874795e9df280e3e0bec171358e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8455657dde27aabe6adb7b188e031c11.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a447cd7d35c87c29590a75468adcaf3c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/73465a1f9aa03481295bf6bd3c6903ac.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/73465a1f9aa03481295bf6bd3c6903ac.png)
您最近一年使用:0次
3 . 已知以下事实:反比例函数
(
)的图象是双曲线,两条坐标轴是其两条渐近线.
(1)(ⅰ)直接写出函数
的图象
的实轴长;
(ⅱ)将曲线
绕原点顺时针转
,得到曲线
,直接写出曲线
的方程.
(2)已知点
是曲线
的左顶点.圆
:
(
)与直线
:
交于
、
两点,直线
、
分别与双曲线
交于
、
两点.试问:点A到直线
的距离是否存在最大值?若存在,求出此最大值以及此时
的值;若不存在,说明理由.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/07854693dd2e33f66030d6106eb6e0ee.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f2c80c26a794a844127aae7dee87c93b.png)
(1)(ⅰ)直接写出函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1c190daf6e3d1cdd5019c3f50a4f842e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f9a7e0e5238148676a584b1748e04d3f.png)
(ⅱ)将曲线
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f9a7e0e5238148676a584b1748e04d3f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15615de1a6df206dbd081251f676578e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
(2)已知点
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2a30f3a8b673cc28bd90c50cf1a35281.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5ff2f5d89e535bab877ad226f086742a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/45ba6b6aa6c3f9faba6b03bc193a6e61.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f85fca60a11e1af2bf50138d0e3fe62.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9b384412acba251d87902ab928902f16.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/acc290b44635265137fdf13146b6a6d9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/20a541b81584a032f571159ea152c85a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/84d454c82d9e52747563d47b68099249.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac047e91852b91af639feec23a9598b2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/54a5d7d3b6b63fe5c24c3907b7a8eaa3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411461db15ee8086332c531e086c40c7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/11bc05f41215f9894e11d1df0465751a.png)
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2024-03-21更新
|
1542次组卷
|
5卷引用:上海市实验学校2023-2024学年高二下学期4月月考数学试卷
名校
解题方法
4 . 已知双曲线
经过椭圆
的左、右焦点
,设
的离心率分别为
,且
.
(1)求
的方程;
(2)设
为
上一点,且在第一象限内,若直线
与
交于
两点,直线
与
交于
两点,设
的中点分别为
,记直线
的斜率为
,当
取最小值时,求点
的坐标.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3dc510d0219010b14250756fb4089644.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8f93efcd698fa6c229a808976bafec79.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4d2a97987f71835f519b462f5b8f5957.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/21e9feabc99f62ee569b460e61526e2e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f994a876391534efe497dc115a53e3fa.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/53552d42d32976eab4d613dfce3d21db.png)
(1)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/21e9feabc99f62ee569b460e61526e2e.png)
(2)设
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b1241216f3c1cb5e73043dd1037f556d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9ac86e1c253297a377e14fb9a1689be8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/23f3ffe7abc59e2f65d827c8eab8d36a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/01c74a907dda6bb7d9d56d009d9df253.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0739793f234f8e86adc6177801ae7295.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/23f3ffe7abc59e2f65d827c8eab8d36a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/39acab3cfb59bfc9591371721ab01d93.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b5c4cd264c97c1f261229925cc5a6761.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7789a500686c7a73770404ead6af0590.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411461db15ee8086332c531e086c40c7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f0a532e15e232cb4b99a8d4d07c89575.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f0a532e15e232cb4b99a8d4d07c89575.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
您最近一年使用:0次
2024-03-14更新
|
2192次组卷
|
5卷引用:江苏省连云港市东海高级中学2023-2024学年高二下学期强化班第一次月考数学试题
名校
解题方法
5 . 已知离心率为
的双曲线
:
过椭圆
:
的左,右顶点A,B.
(1)求双曲线
的方程;
(2)
是双曲线
上一点,直线AP,BP与椭圆
分别交于D,E,设直线DE与x轴交于
,且
,记
与
的外接圆的面积分别为
,
,求
的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/047616f1d1d39bf6c3cd07cf63ef5b80.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b1241216f3c1cb5e73043dd1037f556d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3040b6c904477030ecf8ba20b2b18759.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/23f3ffe7abc59e2f65d827c8eab8d36a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6cae00bdc6f8b564b6b15b32572c848b.png)
(1)求双曲线
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b1241216f3c1cb5e73043dd1037f556d.png)
(2)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/89cddda9100666fa42033cc4f2688fb9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b1241216f3c1cb5e73043dd1037f556d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/23f3ffe7abc59e2f65d827c8eab8d36a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/16862304173044aef35e32375095ff5a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8245026524d605717d6a5fbe30abd95a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/df7f9f7952c4be18cb73393047c2ad75.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ab2a2834d80ff574e79eae8ca8d4e94f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e097c8d4c948de063796bd19f85b3a9a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1e0bd63f55069a3bc870915010b39225.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/142b9d242ef0c6b807d1257f2638b37b.png)
您最近一年使用:0次
2024-03-01更新
|
1367次组卷
|
4卷引用:浙江省名校协作体2023-2024学年高二下学期2月月考数学试题
6 . 《九章算术》是我国古代内容极为丰富的数学名著,第九章“勾股”提出直角三角形的三边边长分别称为“勾”“股”“弦”.如图一直角三角形ABC的“勾”“股”分别为6,8,以AB所在的直线为
轴,AB的中垂线为y轴,建立平面直角坐标系,则以A,B为焦点,且过点C的双曲线方程为( )
![](https://img.xkw.com/dksih/QBM/editorImg/2024/2/15/65d41c28-26aa-442f-8f3a-6c8bcc26a548.png?resizew=141)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2024/2/15/65d41c28-26aa-442f-8f3a-6c8bcc26a548.png?resizew=141)
A.![]() | B.![]() |
C.![]() | D.![]() |
您最近一年使用:0次
解题方法
7 . 如图所示,某中心
接到其正西、正东、正北方向三个观测点
的报告:
两个观测点同时听到了一声巨响,
观测点听到的时间比
观测点晚4秒,假定当时声音传播的速度为
米/秒,各观测点到该中心的距离都是
米,设发出巨响的位置为点
,且
均在同一平面内.请你确定该巨响发生的点
的位置.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1dde8112e8eb968fd042418dd632759e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/24e0c10fb103930eabd5fa18e8f9bb06.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/098a3e7d1f1890863b7483a98b618119.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7f9e8449aad35c5d840a3395ea86df6d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bc13a607ac0c7f76d252d7cb1bb040fd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c4fbb013c2908593f5e7fa76c65e5482.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fe2ca0d184959cf7a48f6c470207e6bf.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2024/2/10/cf061f93-0609-496c-ac72-53258dbc2578.png?resizew=144)
您最近一年使用:0次
8 . 双曲线
和
的方程均满足
,其中
的焦点在
轴上,顺次连接
的两个焦点和
的两个顶点恰好可以构成一个面积为4的正方形.
(1)求双曲线
和
的方程.
(2)若
为
左支上一动点且不在
轴上,过
作
的切线交
于
两点,过
作
的平行线交
于
,顺次连接
四点构成四边形
,求证:四边形
的面积为定值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b1241216f3c1cb5e73043dd1037f556d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/23f3ffe7abc59e2f65d827c8eab8d36a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7d599c8a6dbf883077ac00dc5d00257c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b1241216f3c1cb5e73043dd1037f556d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b1241216f3c1cb5e73043dd1037f556d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/23f3ffe7abc59e2f65d827c8eab8d36a.png)
(1)求双曲线
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b1241216f3c1cb5e73043dd1037f556d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/23f3ffe7abc59e2f65d827c8eab8d36a.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b1241216f3c1cb5e73043dd1037f556d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b1241216f3c1cb5e73043dd1037f556d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2816c1cb72ed019c7a062bd59aab4af9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ab609a6574633ebabcff3e73fa862081.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2816c1cb72ed019c7a062bd59aab4af9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/23f3ffe7abc59e2f65d827c8eab8d36a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f6bce3d91ca23b86d8c6625f2632e437.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cf5663f0992b845a51c65f0da3a0140c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/41d96e428931b19cf639d3e0f26ebe23.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/41d96e428931b19cf639d3e0f26ebe23.png)
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9 . 已知焦点在
轴上,对称中心为坐标原点的等轴双曲线
的实轴长为
,过双曲线
的右焦点
且斜率不为零的直线
与双曲线交于
两点,点
关于
轴的对称点为
,则( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/95bacae35b6e16a0a33c2bdc6bc07df7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a0ed1ec316bc54c37c4286c208f55667.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f85fca60a11e1af2bf50138d0e3fe62.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/01c74a907dda6bb7d9d56d009d9df253.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7f9e8449aad35c5d840a3395ea86df6d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8455657dde27aabe6adb7b188e031c11.png)
A.双曲线的标准方程为![]() |
B.若直线![]() ![]() |
C.若点![]() ![]() ![]() ![]() |
D.直线![]() ![]() |
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2023-12-26更新
|
334次组卷
|
4卷引用:河南省部分重点中学2023-2024学年高二上学期12月质量检测数学试题
23-24高二上·全国·课后作业
解题方法
10 . 求解下列各题:
(1)如图(1),反比例函数
的图象是双曲线,两条坐标轴是它的渐近线,求它的实半轴长和半焦距;
(2)如图(2),以(1)中双曲线的中心为原点,实轴所在的直线为x轴重新建立直角坐标系,求双曲线在这个坐标系中的方程.
(1)如图(1),反比例函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f42b2a9736c8943106472a7398d2892.png)
(2)如图(2),以(1)中双曲线的中心为原点,实轴所在的直线为x轴重新建立直角坐标系,求双曲线在这个坐标系中的方程.
您最近一年使用:0次