如图,A,B是椭圆C:x2a2+y2b2=1(a>b>0)的左右顶点,M是椭圆上异于A,B的...
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发布时间：2024-10-21 05:02
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时间：2024-10-23 05:20
∴c=1，a=2，b=3．
∴椭圆C的方程为x24+y23＝1
（（2）设M（x，y），P（a2c，β），
∵A，M，P三点共线，
∴yx+a=βa2c+a，
∴β=y(a2c+a)x+a，…（9分）
由MP为圆的直径，故OP⊥BM，
即-1=kOPkBM=cy(a2c+a)a2 (x+a)?yx?a=y2(a+c)a (x2?a2)=b2(a+c)?a3=(a2?c2)(a+c)?a3，
∴c2+ac-a2=0
∴e2+e-1=0，
解得e=已赞过已踩过你对这个回答的评价是？评论收起 ._1uevpeq{zoom:1;background-color:#fff;border:0;margin-bottom:10px;padding:30px 0 20px 42px;position:relative}._1uevpeq.ec-1841{padding:20px 0}._1uevpeq.ec-2246{padding:20px 0 10px}.ec-1841 .y7we4hu{font-size:16px;margin-bottom:-5px}.y7we4hu{color:#7a8f9a;height:25px;line-height:25px;overflow:hidden;position:relative}.y7we4hu h2{margin:0;padding:0}.y7we4hu:after{clear:both;content:" ";display:block;height:0;visibility:hidden}a.tycfu7u{color:#666;float:right;font-size:12px;margin-left:8px;text-decoration:none}.hhhv6ex{color:#666;font-size:13px;line-height:normal;line-height:20px;margin-top:10px}.vnsdjzp{margin-top:15px;position:relative}.vnsdjzp h3{font-weight:400;padding:0}.vnsdjzp a{text-decoration:none}.vnsdjzp em{color:#d81419;font-style:normal}.ec-2246 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