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涉及到求函数的解析式,主要类型如下: 一、已知函数的定义,求函数的解析式思路:准确把握函数概念中的对应法则,和题目中所定义的函数的对应法则的含义。【例1】(2000年上海市春季高考题)设y=f(x)为定义在R上的偶函数,当x≤-1时,f(x)的图象是过点(-2,0),斜率为1的射线;又在f(x)的图象中有一部分是顶点在(0,2),且过点(-1,1)的一段抛物线,试写出f(x)的表达式。
Involving the analytical function of the function, the main types are as follows: First, the definition of a known function, and the analytical method of the function: to grasp exactly the corresponding rule in the concept of function, and the meaning of the corresponding rule of the function defined in the title. [Example 1] (2000 Shanghai Spring College Entrance Examination Question) Let y=f(x) be the even function defined on R. When x≤-1, the image of f(x) is the overshoot (-2, 0), a ray with a slope of 1; and in the image of f(x), there is a section of the parabola with the vertex at (0,2) and the point (-1,1), try to write f(x) Expressions.