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经过点M0(x0,y0),倾斜角为α的直线l的参数方程为 (t为参数),其中α,x0,y0为已知数,参数t的几何意义为点M0(x0,y0)到这条直线上任意一点M(x,y)的有向线段M0M的数量,当点M在点M0的上(右)方时,t为正;当点M在点M0的下(左)方时,t为负.直线的参数方程是解决有关过定点的线段长的重要工具,现举例说明如下. 例1 过椭圆x/25+u/16=1的右焦点F2,倾斜角为π/4的直线与椭圆交于A、B两点,求A,S
After the point M0 (x0, y0), the parametric equation of the line l whose angle of inclination is α is (t is the parameter), where α, x0, y0 are known numbers, and the geometric meaning of the parameter t is point M0 (x0, y0). The number of directed segments M0M to any point on this line M(x,y), when point M is on the upper (right) side of point M0, t is positive; when point M is below point M0 (left) When square, t is negative. The parametric equation of the line is an important tool to solve the line segment length that is related to over-fixed points, and is now illustrated as follows. Example 1 The right focus F2 of the over-ellipse x/25+u/16=1, and the tilt angle is π The /4 line intersects the ellipse at two points A and B. Find A,S