学生普遍反映,2014年山东省高考数学理第21题非常困难,未知元素较多,难于运算,笔者经过思考,感觉本题有很多的性质可以得以推广,就试题做法而言,亦可借用推广过程,避繁就简,能较为轻松地解答本题.1.真题呈现(2014年山东理21)已知抛物线C:y2=2px(p>0)的焦点为D,A为C上异于原点的任意一点,过点A的直线l交C于另一点B,交x轴的正半轴于 Students generally reflect the 2014 college entrance examination in Shandong Province Mathematical Theory Problem 21 is very difficult, more unknown elements, difficult to operate, the author after reflection, I feel a lot of the nature of the problem can be promoted, the practice of the question can also borrow the promotion process , To avoid simple problems, can more easily answer this question.1 Zhenti Ren (2014 Shandong 21) known parabola C: y2 = 2px (p> 0) the focus is D, A is different from the origin of C At any point, a point A straight line intersect C at another point B, the positive axis of the x-axis