I looked at what the second man had dropped; it was jewellery. It all happened too quickly,but I soon realized what had happened. They were burglars. My friend Jeremy, who was waitingfor me, quickly ran out. when hearing unusual noises. We called the police and they were there 5minutes later. I gave the police officer descriptions of the thieves and told them the names theyhad called outYou were brave for trying stop them, "said the officer: We should be able to catch themwith your information. " Jeremy told the officer the owners of the house were on holiday and gavehim a phone number. When the officer left, I told Jeremy about the mistake with the doornumbers. I hadn, t really been brave at all, but my mix-up had stopped the burglars getting awaywith the jewelry. Jeremy's neighbor thanked me a lot when they came back. Actually I have been
15.x2=4y;±y【解析】本题考查抛物线,考查化归与转化的数学思想与运算求解能力设A(x1,y),B(x2,y)由抛物线的定义可得|AF=y ,BF|=y ,则|AF1 1BF|=y y p=6,即y y2=6-p因为点M(0,4)在线段AB的垂直平分线上,所以|MA|=|MB|,则x (y-4)2=n2 (y-4)2,因为x=2py,n=2py2,所以(y-y)(y y 2p-8)=0,因为y≠y,所以y y=8-2p,则8-2p=6-p,解得p=2,故抛物线C的方程是x2=4y.因为直线l过点F,所以直线1的方程是y=kx .联立{y=kx 1,整理得一一4=0,则 =体,从面y =k(x2 x2) 2=42 2,因为y y2=6-p=4,所以4k2 2=4,解得k=士y
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