高考辅导圆锥曲线精品讲义

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1、专业好文档圆锥曲线的综合应用及其求解策略解答圆锥曲线的综合问题,应根据曲线的几何特征,熟练运用圆锥曲线的相关知识,将曲线的几何特征转化为数量关系(如方程、不等式、函数等),再结合代数知识去解答。解答过程中要重视函数思想、方程与不等式思想、分类讨论思想和数形结合思想的灵活应用。高考题中,主观题19题,中等偏上难度。客观题一道二道,基础题型。有关圆锥曲线的综合应用的常见题型第一,具体求解某个变量的值.解法主要是找到关于变量的方程12年石景山一模已知椭圆()右顶点与右焦点的距离为,短轴长为.()求椭圆的方程;()过左焦点的直线与椭圆分别交于、两点,若三角形的面积为,求直线的方程 高考模拟 已知椭圆C

2、的中心在原点,焦点在轴上,左右焦点分别为,且,点(1,)在椭圆C上.()求椭圆C的方程;()过的直线与椭圆相交于两点,且的面积为,求以为圆心且与直线相切的圆的方程.第二,最值范围问题,从动态角度去研究解析几何中的数学问题的主要内容,解法主要是设变量,建立目标函数,转化为求函数最值问题。11年北京高考已知椭圆.过点(m,0)作圆的切线l交椭圆G于A,B两点.(I)求椭圆G的焦点坐标和离心率;(II)将表示为m的函数,并求的最大值.13年海淀二模已知椭圆的四个顶点恰好是一边长为2,一内角为的菱形的四个顶点.(I)求椭圆的方程;(II)直线与椭圆交于,两点,且线段的垂直平分线经过点,求(为原点)面积

3、的最大值.高考模拟已知椭圆的中心在坐标原点,焦点在轴上,一个顶点为,离心率为(I)求椭圆的方程;(II)设直线与椭圆相交于不同的两点当时,求的取值范围第三,定值定点问题,解法是,充分体现解析几何的学科思想,运用坐标法逐步将题目条件转化成数学关系式,然后综合运用代数几何知识点化简求值高考模拟已知椭圆C:的离心率为,且经过点()求椭圆C的标准方程;()设直线l:与椭圆C相交于,两点,连接MA,MB并延长交直线x=4于P,Q两点,设yP,yQ分别为点P,Q的纵坐标,且求证:直线过定点已知是抛物线上一点,经过点的直线与抛物线交于两点(不同于点),直线分别交直线于点.()求抛物线方程及其焦点坐标;()已

4、知为原点,求证:为定值.第四,存在性问题,解法是直接顺推法,将不确定的问题明朗化,先以肯定待定系数法代入,列出关于待定系数的方程组,如果有实数解则存在,没有实数解则不存在。另外也可应用反证法。10年北京高考在平面直角坐标系xOy中,点B与点A(-1,1)关于原点O对称,P是动点,且直线AP与BP的斜率之积等于.()求动点P的轨迹方程;()设直线AP和BP分别与直线x=3交于点M,N,问:是否存在点P使得PAB与PMN的面积相等?若存在,求出点P的坐标;若不存在,说明理由。12年北京高考已知曲线C:(5-m)x2+(m-2)y2=8(mR)(1) 若曲线C是焦点在x轴点上的椭圆,求m的取值范围;

5、设m=4,曲线c与y轴的交点为A,B(点A位于点B的上方),直线y=kx+4与曲线c交于不同的两点M、N,直线y=1与直线BM交于点G.求证:A,G,N三点共线12年西城模拟已知椭圆的离心率为,定点,椭圆短轴的端点是,且.()求椭圆的方程;()设过点且斜率不为的直线交椭圆于,两点.试问轴上是否存在定点,使平分?若存在,求出点的坐标;若不存在,说明理由.Winger Tuivasa-Sheck, who scored two tries in the Kiwis 20-18 semi-final win over England, has been passed fit after a lowe

6、r-leg injury, while Slater has been named at full-back but is still recovering from a knee injury aggravated against USA.Both sides boast 100% records heading into the encounter but Australia have not conceded a try since Josh Charnleys effort in their first pool match against England on the opening

7、 day.Aussie winger Jarryd Hayne is the competitions top try scorer with nine, closely followed by Tuivasa-Sheck with eight.But it is recently named Rugby League International Federation player of the year Sonny Bill Williams who has attracted the most interest in the tournament so far.The Kiwi - wit

8、h a tournament high 17 offloads - has the chance of becoming the first player to win the World Cup in both rugby league and rugby union after triumphing with the All Blacks in 2011.Id give every award back in a heartbeat just to get across the line this weekend, said Williams.The (lack of) air up th

9、ere Watch mCayman Islands-based Webb, the head of Fifas anti-racism taskforce, is in London for the Football Associations 150th anniversary celebrations and will attend Citys Premier League match at Chelsea on Sunday.I am going to be at the match tomorrow and I have asked to meet Yaya Toure, he told

10、 BBC Sport.For me its about how he felt and I would like to speak to him first to find out what his experience was.Uefa hasopened disciplinary proceedings against CSKAfor the racist behaviour of their fans duringCitys 2-1 win.Michel Platini, president of European footballs governing body, has also o

11、rdered an immediate investigation into the referees actions.CSKA said they were surprised and disappointed by Toures complaint. In a statement the Russian side added: We found no racist insults from fans of CSKA. Baumgartner the disappointing news: Mission aborted.The supersonic descent could happen

12、 as early as Sunda.The weather plays an important role in this mission. Starting at the ground, conditions have to be very calm - winds less than 2 mph, with no precipitation or humidity and limited cloud cover. The balloon, with capsule attached, will move through the lower level of the atmosphere

13、(the troposphere) where our day-to-day weather lives. It will climb higher than the tip of Mount Everest (5.5 miles/8.85 kilometers), drifting even higher than the cruising altitude of commercial airliners (5.6 miles/9.17 kilometers) and into the stratosphere. As he crosses the boundary layer (calle

14、d the tropopause),e can expect a lot of turbulence.The balloon will slowly drift to the edge of space at 120,000 feet ( Then, I would assume, he will slowly step out onto something resembling an Olympic diving platform.They blew it in 2008 when they got caught cold in the final and they will not mak

15、e the same mistake against the Kiwis in Manchester.Five years ago they cruised through to the final and so far history has repeated itself here - the last try they conceded was scored by Englands Josh Charnley in the opening game of the tournament.That could be classed as a weakness, a team under-cooked - but I have been impressed by the Kangaroos focus in their games since then.They have been concentrating on the sort of stuff that wins you tough, even contests - strong defence, especially on their own goal-line, completing sets

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