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求距离的最值是我们高中数学解析几何中的一个难点,这类题型对学生的几何能力、思维转换要求较高,许多学生面对这类问题时感到束手无策,而“两边之和大于第三边、两边之差小于第三边”这个定理的应用,解决此类题型的某些问题,往往会起到事半功倍的效果.本文就此类最值问题应用上述定理来解决,作一初步的探索.例1(1)点P在直线l∶3x-y-1=0上,点A(4,1)、点
Find the value of the distance is our high school mathematics analytic geometry of a difficulty, these types of questions on the students’ geometry, high thinking conversion requirements, many students feel helpless in the face of such problems, and “the sum of both sides is greater than The third side, the difference between the two sides is less than the third side ”The application of the theorem, to solve some problems of these types of questions, often will play a multiplier effect .This paper applies the above theorems on the most value problems to solve Example 1 (1) Point P Point A (4,1) at a straight line l: 3x-y-1 = 0, point