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圆锥曲线是高中数学的主干内容之一,也是高考常考的题目.近年来,出现了一类涉及圆锥曲线的常考题目,涉及了圆锥曲线的定义、正余弦定理及三角形的面积公式,综合性很强.题目1:已知点P是椭圆x212+y23=1上的一点,F1,F2为两焦点,若∠F1PF2=60°,则求△F1PF2的面积.题目2:已知点P是椭圆x216+y225=1上的一点,F1,F2为两焦点,若PF1⊥PF2,则求点P到y轴的距离.
Conic curve is one of the main content of high school mathematics, but also the subject of the college entrance examination often.In recent years, there has been a class of conic curve often test questions, involving the definition of conic curve, cosine theorem and triangle area formula, synthesis Problem 1: Known point P is the point on the ellipse x212 + y23 = 1, F1 and F2 are the two focal points, and if F1F1PF2 = 60 °, the area of △ F1PF2 is determined Problem 2: Known point P Is a point on an ellipse x216 + y225 = 1, and F1 and F2 are two focal points. If PF1⊥PF2, find the distance from point P to the y-axis.