高考輔導(dǎo)圓錐曲線精品講義

1、專業(yè)好文檔圓錐曲線的綜合應(yīng)用及其求解策略解答圓錐曲線的綜合問(wèn)題，應(yīng)根據(jù)曲線的幾何特征，熟練運(yùn)用圓錐曲線的相關(guān)知識(shí)，將曲線的幾何特征轉(zhuǎn)化為數(shù)量關(guān)系（如方程、不等式、函數(shù)等），再結(jié)合代數(shù)知識(shí)去解答。解答過(guò)程中要重視函數(shù)思想、方程與不等式思想、分類討論思想和數(shù)形結(jié)合思想的靈活應(yīng)用。高考題中，主觀題19題，中等偏上難度?？陀^題一道二道，基礎(chǔ)題型。有關(guān)圓錐曲線的綜合應(yīng)用的常見(jiàn)題型第一,具體求解某個(gè)變量的值.解法主要是找到關(guān)于變量的方程12年石景山一模已知橢圓（）右頂點(diǎn)與右焦點(diǎn)的距離為，短軸長(zhǎng)為.（）求橢圓的方程；（）過(guò)左焦點(diǎn)的直線與橢圓分別交于、兩點(diǎn)，若三角形的面積為，求直線的方程 高考模擬 已知橢圓c

2、的中心在原點(diǎn)，焦點(diǎn)在軸上，左右焦點(diǎn)分別為，且，點(diǎn)（1，）在橢圓c上.（）求橢圓c的方程；（）過(guò)的直線與橢圓相交于兩點(diǎn)，且的面積為，求以為圓心且與直線相切的圓的方程.第二,最值范圍問(wèn)題,從動(dòng)態(tài)角度去研究解析幾何中的數(shù)學(xué)問(wèn)題的主要內(nèi)容，解法主要是設(shè)變量，建立目標(biāo)函數(shù)，轉(zhuǎn)化為求函數(shù)最值問(wèn)題。11年北京高考已知橢圓.過(guò)點(diǎn)（m,0）作圓的切線l交橢圓g于a，b兩點(diǎn).（i）求橢圓g的焦點(diǎn)坐標(biāo)和離心率；（ii）將表示為m的函數(shù)，并求的最大值.13年海淀二模已知橢圓的四個(gè)頂點(diǎn)恰好是一邊長(zhǎng)為2，一內(nèi)角為的菱形的四個(gè)頂點(diǎn).（i）求橢圓的方程；（ii）直線與橢圓交于，兩點(diǎn)，且線段的垂直平分線經(jīng)過(guò)點(diǎn)，求（為原點(diǎn)）面積

3、的最大值.高考模擬已知橢圓的中心在坐標(biāo)原點(diǎn)，焦點(diǎn)在軸上，一個(gè)頂點(diǎn)為，離心率為（i）求橢圓的方程；（ii）設(shè)直線與橢圓相交于不同的兩點(diǎn)當(dāng)時(shí)，求的取值范圍第三，定值定點(diǎn)問(wèn)題，解法是，充分體現(xiàn)解析幾何的學(xué)科思想，運(yùn)用坐標(biāo)法逐步將題目條件轉(zhuǎn)化成數(shù)學(xué)關(guān)系式，然后綜合運(yùn)用代數(shù)幾何知識(shí)點(diǎn)化簡(jiǎn)求值高考模擬已知橢圓c：的離心率為，且經(jīng)過(guò)點(diǎn)（）求橢圓c的標(biāo)準(zhǔn)方程；（）設(shè)直線l：與橢圓c相交于，兩點(diǎn)，連接ma，mb并延長(zhǎng)交直線x=4于p，q兩點(diǎn)，設(shè)yp，yq分別為點(diǎn)p，q的縱坐標(biāo)，且求證：直線過(guò)定點(diǎn)已知是拋物線上一點(diǎn)，經(jīng)過(guò)點(diǎn)的直線與拋物線交于兩點(diǎn)（不同于點(diǎn)），直線分別交直線于點(diǎn).（）求拋物線方程及其焦點(diǎn)坐標(biāo)；（）已

4、知為原點(diǎn)，求證：為定值.第四，存在性問(wèn)題，解法是直接順推法，將不確定的問(wèn)題明朗化，先以肯定待定系數(shù)法代入，列出關(guān)于待定系數(shù)的方程組，如果有實(shí)數(shù)解則存在，沒(méi)有實(shí)數(shù)解則不存在。另外也可應(yīng)用反證法。10年北京高考在平面直角坐標(biāo)系xoy中，點(diǎn)b與點(diǎn)a（-1,1）關(guān)于原點(diǎn)o對(duì)稱，p是動(dòng)點(diǎn)，且直線ap與bp的斜率之積等于.()求動(dòng)點(diǎn)p的軌跡方程；()設(shè)直線ap和bp分別與直線x=3交于點(diǎn)m,n，問(wèn)：是否存在點(diǎn)p使得pab與pmn的面積相等？若存在，求出點(diǎn)p的坐標(biāo)；若不存在，說(shuō)明理由。12年北京高考已知曲線c:(5-m)x2+(m-2)y2=8(mr)（1） 若曲線c是焦點(diǎn)在x軸點(diǎn)上的橢圓，求m的取值范圍；

5、設(shè)m=4，曲線c與y軸的交點(diǎn)為a，b（點(diǎn)a位于點(diǎn)b的上方），直線y=kx+4與曲線c交于不同的兩點(diǎn)m、n,直線y=1與直線bm交于點(diǎn)g.求證：a，g，n三點(diǎn)共線12年西城模擬已知橢圓的離心率為，定點(diǎn)，橢圓短軸的端點(diǎn)是，且.（）求橢圓的方程；（）設(shè)過(guò)點(diǎn)且斜率不為的直線交橢圓于，兩點(diǎn).試問(wèn)軸上是否存在定點(diǎn)，使平分？若存在，求出點(diǎn)的坐標(biāo)；若不存在，說(shuō)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-co

16、oked - 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 and a good kick-chase. theyve been great at all the unglamorous

17、stuff that often goes unnoticed in the stands but not by your team-mates.it is as though their entire tournament has been preparation for the final.in johnathan thurston, cooper cronk, cameron smith and either billy slater or greg inglis at full-back they have a spine that is unmatched in rugby league. they have played in so many high-pressure games - a priceless asset going into satu