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1、专题十六 椭圆、双曲线、抛物线1．已知双曲线－＝1的右焦点与抛物线y2＝12x的焦点重合，则该双曲线的焦点到其渐近线的距离等于( )． A.B．4C．3D．5答案：A [易求得抛物线y2＝12x的焦点为(3,0)，故双曲线－＝1的右焦点为(3,0)，即c＝3，故32＝4＋b2，∴b2＝5，∴双曲线的渐近线方程为y＝±x，∴双曲线的右焦点到其渐近线的距离为＝.]2．等轴双曲线C的中心在原点，焦点在x轴上，C与抛物线y2＝16x的准线交于A，B两点，
2、AB
3、＝4，则C的实轴长为( )．A.B．2C．4
4、D．8答案：C [抛物线y2＝16x的准线方程是x＝－4，所以点A(－4，2)在等轴双曲线C；x2－y2＝a2(a＞0)上，将点A的坐标代入得a＝2，所以C的实轴长为4.]3．已知椭圆C：＋＝1(a＞b＞0)的离心率为.双曲线x2－y2＝1的渐近线与椭圆C有四个交点，以这四个交点为顶点的四边形的面积为16，则椭圆C的方程为( )．[来源:学
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9、K]A.＋＝1B.＋＝1C.＋＝1D.＋＝1答案：D [因为椭圆的离心率为，所以e＝＝，c2＝a2，c2＝a2＝a2－b2，所以b2＝a2，即a2＝4b2.双曲线的渐近线方程为y
10、＝±x，代入椭圆方程得＋＝1，即＋＝＝1，所以x2＝b2，x＝±b，y2＝b2，y＝±b，则在第一象限双曲线的渐近线与椭圆C的交点坐标为，所以四边形的面积为4×b×b＝b2＝16，所以b2＝5，所以椭圆方程为＋＝1.]anti-Japanesepatriotism.Undertheinfluenceoftheparty,Zhu,Wang,actinginstrictdiscipline,political,militaryqualityandcombateffectivenesshasimproved.Aswellasyouthserv
11、icecorps,women'sserviceandyoungpioneers,countryside-Japaneseperformance,postinganti-Japaneseslogans,operateprivateschools,literacyclasses,founderoftheiron,andthetongueandthesound,sparksandotheranti-Japanesemimeographedtabloid,activelypromoteanti-Japanese.Hanchangrecovery
12、aftertheparty,thatis,"Jiangnananti-Japaneseguerrillapeoplesave,"ShenYingjie,XuAzhentoparticipateindevelopmentoftheChineseCommunistParty,inOctoberandsetupawaterpartygroupinHongKong,Hanchanglongpartygroup.Meanwhile,Xuoncleaningtwowannan,demandingnewarmydeployedcadres,andha
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15、rtyMrCHOW(Zhoukangyu)camefromsouthernAnhui.ZhuXiWeiCHOYforstaffofficers.Theendofunifiedleadership4．在直角坐
