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数学理科课件与练习数学第8章
第八章 圆锥曲线;/jty/main/index.shtm;/jty/main/index.shtm;/jty/main/index.shtm;/jty/main/index.shtm;/jty/main/index.shtm;/jty/main/index.shtm;/jty/main/index.shtm;/jty/main/index.shtm;/jty/main/index.shtm;/jty/main/index.shtm;/jty/main/index.shtm;/jty/main/index.shtm;/jty/main/index.shtm;/jty/main/index.shtm;/jty/main/index.shtm;/jty/main/index.shtm;/jty/main/index.shtm;/jty/main/index.shtm;/jty/main/index.shtm;/jty/main/index.shtm;/jty/main/index.shtm;/jty/main/index.shtm;/jty/main/index.shtm;/jty/main/index.shtm;/jty/main/index.shtm;/jty/main/index.shtm;/jty/main/index.shtm;/jty/main/index.shtm;/jty/main/index.shtm;/jty/main/index.shtm;/jty/main/index.shtm;/jty/main/index.shtm;/jty/main/index.shtm;/jty/main/index.shtm;/jty/main/index.shtm;/jty/main/index.shtm;/jty/main/index.shtm;/jty/main/index.shtm;/jty/main/index.shtm;/jty/main/index.shtm;/jty/main/index.shtm;/jty/main/index.shtm;/jty/main/index.shtm;/jty/main/index.shtm;/jty/main/index.shtm;/jty/main/index.shtm;/jty/main/index.shtm;/jty/main/index.shtm;/jty/main/index.shtm;/jty/main/index.shtm;/jty/main/index.shtm;/jty/main/index.shtm;/jty/main/index.shtm;/jty/main/index.shtm;/jty/main/index.shtm;/jty/main/index.shtm;/jty/main/index.shtm;/jty/main/index.shtm;/jty/main/index.shtm;/jty/main/index.shtm;/jty/main/index.shtm;/jty/main/index.shtm;/jty/main/index.shtm;/jty/main/index.shtm;/jty/main/index.shtm;1.动点P到定点F1(1,0)的距离比它到定点F2(3,0)的距离小2,则点P的轨迹是( )
A.双曲线 B.双曲线的一支
C.一条射线 D.两条射线
【解析】由条件,知|PF2|-|PF1|=2,且|F1F2|=3-1=2,故点P的轨迹为一条射线.
【答案】 C
;/jty/main/index.shtm;/jty/main/index.shtm;/jty/main/index.shtm;/jty/main/index.shtm;/jty/main/index.shtm;/jty/main/index.shtm;/jty/main/index.shtm;/jty/main/index.shtm;/jty/main/index.shtm;/jty/main/index.shtm;/jty/main/index.shtm;【答案】 (1)D (2)B
【点评】(1)本例两道小题都用到双曲线的定义,熟练掌握双曲线定义和数形结合的思想非常重要;(2)与椭圆类似,解决双曲线中的焦点三角形问题的基本策略可概括为:紧扣双曲线的定义,结合正弦或余弦定理等解三角形知识,并在解答中合理使用方程和整体思想.
【变式与思考】(1)将(1)中条件改为“动圆M与圆C1:(x+3)2+y2=4外切,同时与圆C2:x2+y2-6x-91=0内切”,试求动圆圆心M的轨迹方程;(2);/jty/main/index
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