函数的零点、方程的根、函数图象的交点问题是高考的热点.这三者之间形异质同,解题时要注意三者之间的互相转化.本文介绍解决此类问题的以下几种策略.策略1利用方程f(x)=0的根求解例1求函数f(x)={x~2+2x-3,x≤0,ln x-2,x>0的零点个数.解当x≤0时,由方程x~2+2x-3=0,解得x=-3; The zero point of the function, the root of the equation and the intersection of the function image are the hot spots in the college entrance examination.The three types are all the same with each other, so we should pay attention to the transformation between the three.The paper introduces the following solutions to these problems Several strategies Strategy 1 Use root of equation f (x) = 0 Solution Example 1 Find the function f (x) = {x ~ 2 + 2x-3, x≤0, ln x-2, Solution. When x≤0, solve for x = -3 from the equation x ~ 2 + 2x-3 = 0;