“解析几何是用代数方法来研究几种问题的一门数学学科.”用代数方法解决几何问题确实方便.但是注意到几何本身的性质,加强数与形的结合,将更有利于解析几何的教与学.高中(解析几何课本)甲种本第126页第24题为:过圆外一点P(a,b),引圆x~2+y~2=R~2的两条切线,求经过两切点的直线方程. 解法(1):设过P点圆的切线方程: “Analytic geometry is a mathematics discipline that uses algebraic methods to study several problems.” It is indeed convenient to solve geometric problems with algebraic methods. However, taking note of the nature of geometry itself, the combination of number and shape is more conducive to analytical geometry. Teaching and learning. High school (analysis of geometry textbooks) A species of this book on the 126th of the 24th title: a point outside the circle P (a, b), the two tangent lines x~2+y~2=R~2 Find the equation of the straight line passing through two cut points. Solution (1): Set the tangent equation of the P point circle: