题目
题型:不详难度:来源:
如图点
![](http://img.shitiku.com.cn/uploads/allimg/20191024/20191024042941-46219.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191024/20191024042942-78287.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191024/20191024042942-44795.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191024/20191024042942-33174.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191024/20191024042942-34919.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191024/20191024042942-90709.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191024/20191024042942-22576.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191024/20191024042942-86515.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191024/20191024042942-78287.gif)
(1)求双曲线
![](http://img.shitiku.com.cn/uploads/allimg/20191024/20191024042942-78287.gif)
(2)若过点
![](http://img.shitiku.com.cn/uploads/allimg/20191024/20191024042941-46219.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191024/20191024042943-84910.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191024/20191024042942-78287.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191024/20191024042943-65626.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191024/20191024042943-81825.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191024/20191024042943-61365.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191024/20191024042943-62038.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191024/20191024042943-84910.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191024/20191024042943-41150.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191024/20191024042944-17212.gif)
答案
![](http://img.shitiku.com.cn/uploads/allimg/20191024/20191024042944-31634.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191024/20191024042944-82597.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191024/20191024042944-22535.gif)
则
![](http://img.shitiku.com.cn/uploads/allimg/20191024/20191024042944-26797.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191024/20191024042945-53379.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191024/20191024042945-33414.gif)
又
![](http://img.shitiku.com.cn/uploads/allimg/20191024/20191024042945-83891.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191024/20191024042945-20089.gif)
联立①②③,解得
![](http://img.shitiku.com.cn/uploads/allimg/20191024/20191024042945-14931.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191024/20191024042946-94463.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191024/20191024042946-16659.gif)
注:对点M用第二定义,得
![](http://img.shitiku.com.cn/uploads/allimg/20191024/20191024042946-28458.gif)
(Ⅱ)
![](http://img.shitiku.com.cn/uploads/allimg/20191024/20191024042946-21111.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191024/20191024042946-42401.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191024/20191024042947-27790.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191024/20191024042947-91006.gif)
由
![](http://img.shitiku.com.cn/uploads/allimg/20191024/20191024042947-78621.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191024/20191024042947-96078.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191024/20191024042947-35801.gif)
由
![](http://img.shitiku.com.cn/uploads/allimg/20191024/20191024042948-11795.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191024/20191024042948-30997.gif)
∴
![](http://img.shitiku.com.cn/uploads/allimg/20191024/20191024042948-26511.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191024/20191024042948-24372.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191024/20191024042948-17513.gif)
由
![](http://img.shitiku.com.cn/uploads/allimg/20191024/20191024042947-35801.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191024/20191024042948-11421.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191024/20191024042948-24372.gif)
消去
![](http://img.shitiku.com.cn/uploads/allimg/20191024/20191024042949-79998.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191024/20191024042949-89338.gif)
得
![](http://img.shitiku.com.cn/uploads/allimg/20191024/20191024042949-62786.gif)
∵
![](http://img.shitiku.com.cn/uploads/allimg/20191024/20191024042949-42037.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191024/20191024042949-30489.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191024/20191024042949-69999.gif)
∴
![](http://img.shitiku.com.cn/uploads/allimg/20191024/20191024042950-63671.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191024/20191024042950-13086.gif)
又直线m与双曲线的两支相交,即方程
![](http://img.shitiku.com.cn/uploads/allimg/20191024/20191024042948-30997.gif)
∴
![](http://img.shitiku.com.cn/uploads/allimg/20191024/20191024042950-82534.gif)
∴
![](http://img.shitiku.com.cn/uploads/allimg/20191024/20191024042950-80468.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191024/20191024042951-56465.gif)
解析
核心考点
试题【本小题满分12分)如图点为双曲线的左焦点,左准线交轴于点,点P是上的一点,且线段PF的中点在双曲线的左支上.(1)求双曲线的标准方程;(2)若过点的直线与双曲线】;主要考察你对双曲线的定义与方程等知识点的理解。[详细]
举一反三
![](http://img.shitiku.com.cn/uploads/allimg/20191024/20191024042935-15763.gif)
A.![]() | B.![]() | C.![]() | D.![]() |
![](http://img.shitiku.com.cn/uploads/allimg/20191024/20191024042930-78962.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191024/20191024042930-24604.gif)
曲线的方程是_______________。
已知双曲线的两焦点为
![](http://img.shitiku.com.cn/uploads/allimg/20191024/20191024042927-54119.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191024/20191024042927-16013.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191024/20191024042927-58455.gif)
(Ⅰ)求该双曲线的标准方程;
(Ⅱ)若点
![](http://img.shitiku.com.cn/uploads/allimg/20191024/20191024042927-26774.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191024/20191024042927-13024.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191024/20191024042927-56929.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191024/20191024042918-36415.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191024/20191024042919-66470.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191024/20191024042919-56113.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191024/20191024042919-87190.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191024/20191024042919-27339.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191024/20191024042920-78407.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191024/20191024042920-95231.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191024/20191024042920-65956.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191024/20191024042920-95215.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191024/20191024042920-49336.gif)
A.![]() | B.![]() | C.![]() | D.![]() |
![](http://img.shitiku.com.cn/uploads/allimg/20191024/20191024042916-75519.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191024/20191024042916-67713.gif)
最新试题
- 1下列事件与林肯有关的是 [ ]A、英国资产阶级革命 B、法国资产阶级革命C、美国独立战争 D、美国内战
- 2如图,在半径为R的⊙O中,弦AB的长与半径R相等,C是优弧AB上一点,则∠ACB的度数是______度.
- 3一探月卫星在地月转移轨道上运行,某一时刻正好处于地心和月心的连线上,卫星在此处所受地球引力与月球引力之比为4∶1。已知地
- 4关于如图所示装置的叙述,正确的是( )A.锌是正极,逐渐溶解B.硫酸根物质的量不断减小C.阳离子向正极移动D.电子从铜
- 5人生自古就有许多愁与苦,请你多一点开心,少一些烦恼。[ ]
- 6下列叙述正确的是( )A.铜锌原电池工作一段时间后,铜的质量增加B.钢铁的吸氧腐蚀负极反应为:Fe-2e====F
- 7下图为某一以200m/s的速度沿x轴正向传播的机械波在某一时刻的图象,则这列波波源的振动周期为___________s;
- 80.9915的近似值是___________.(精确到0.001)
- 9图所示,浸没在水中小球所受浮力的方向应为图中 的方向(选填序号),这是因为
- 10某校教学大楼有教室24间,每间教室装有“PZ220﹣40”白炽灯6只.(1)求引入大楼照明线中的电流;(2)若平均每日用
热门考点
- 1(26分)近代以来,大国纷纷崛起,各领风***。尽管曾发生过苏东剧变,但中国始终抓住发展经济、进步社会的根本不动摇,使中国成
- 2设的离心率的概率是 。
- 3(10分)阅读材料,回答问题。欧洲向近代的过渡,有三个150年……第二个阶段,从1500到1650年,是早期资产阶级革命
- 4(14分)明矾[KAl(SO4)2·12H2O] 在生产、生活中有广泛用途:饮用水的净化;造纸工业上作施胶剂;食品工业的
- 5直线l与两坐标轴的交点坐标分别是A(﹣3,0),B(0,4),则l所对应的函数表达式为 ( ).
- 6已知四边形是矩形,,,是线段上的动点,是的中点.若为钝角,则线段长度的取值范围是 .
- 7阅读下面这首诗,然后回答问题。(6分)幽居初夏 陆游湖山胜处放翁家,槐柳阴中野径斜。水满有时观下鹭,草深无处不鸣蛙。箨龙
- 8在实验室里制取少量FeCl3,可按照一定顺序连接下图中所列装置,所通过的气体过量且反应充分.试回答以下问题:(1)实验时
- 9居民消费由“旧三大件”逐渐演变为“新三大件”,其根本因素是( )A.商品价格的下降B.经济发展水平C.财政收入状况
- 10下列运算正确的是( )A.(-2ab)·(-3ab)3=-54a4b4B.5x2·(3x3)2=15x12C.(-0.