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解析几何综合问题的解法一般都是设方程、联立,利用韦达定理、计算、化简等.过程看似常规,学生却望而生畏,考试得分有限.而解析几何综合试题中的定值、定点问题一直是考试的热点和重点,构造恰当的一元二次方程,利用其有关性质,可使一些看似难以解决的问题顺利获得解决.一、定点问题例1(2015年全国卷Ⅰ理20)在直角坐标系xoy中,曲线C:y=(x~2)/4与直线l:y=kx+a(a>0)交于M,N两点.
The solution to the analytical geometry synthesis problem is generally based on equations, simultaneous use, use of Vedic theorem, calculation, simplification, etc. The process seems to be routine, the students are daunting, the test score is limited, and the fixed and fixed points in analytical geometry comprehensive test questions The problem has always been the hotspot and focus of the exam. Constructing a proper quadratic equation and using its relevant nature can make it possible to solve problems that seem to be difficult to solve. 1. Fixed-point problem example 1 (2015 national volume I theory 20) In the rectangular coordinate system xoy, the curve C:y=(x~2)/4 intersects with the line l:y=kx+a(a>0) at two points M and N.