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经过巳知点P(x_0,y_0)向圆锥曲线作切线,能作几条?其条件各是怎样的?又如何求出切线方程?文[1]运用斜率k表示的切线公式来解决这一问题,但有一些不妥之处,如诸定理中的条件有些是多余的,定理2中的“其逆亦真”就是一个错误的结论,本文运用解方程组求切点的方法,根据切点(x_1,y_1)的个数,即方程组有两组解、一组解或无解
After knowing that P(x_0, y_0) makes a tangent to the conic curve, we can make several? What are the conditions? And how to solve the tangent equation? [1] Use the tangent formula represented by the slope k to solve this problem. The problem, but there are some inconveniences, such as the conditions in the theorems are somewhat redundant, the theorem 2 of the “its inverse is true” is a wrong conclusion, this paper uses the method of solving equations to determine the cut point, according to cut The number of points (x_1, y_1), that is, the system of equations has two sets of solutions, one set of solutions or no solutions