论文部分内容阅读
在学习不等式内容时,课本上有一道基本不等式和直线方程知识交汇的例题,题目如下:过点P(1,2)的直线l与x轴的正半轴、y轴的正半轴分别交于A、B两点,当△AOB的面积S最小时,求直线l的方程.基本不等式是不等式部分一个非常重要的内容,是高考的必考知识点.本题主要意图为借助于求直线的方程,重点考查基本不等式的应用,是一道典型的基本不等式和直线方程的交汇问题.探究本题不同的解法,有助于加深对基本不等式的理解和应用.一、解法探究分析1由于本题中直线l与两坐标轴围成一个三角形,且涉及三角形的面积问题,因而求直线方程时可设直线的截距式方程进行求解.
When learning inequality, there is an example of the intersection of basic inequalities and knowledge of linear equations in the textbook. The topics are as follows: A straight line passing P (1,2) l intersects with the positive semi-axis of the x-axis and the positive semi- In A, B two points, when △ AOB area S minimum, find the equation of the straight line l The basic inequality is a very important part of the inequality is the entrance exam knowledge point.The main purpose of this question is to help with the straight line Equation, focusing on examining the application of basic inequalities, is a typical intersection of basic inequalities and linear equations.To explore the problem of different solutions, help to deepen the understanding of basic inequalities and applications. l and the two coordinate axes form a triangle, and involves the problem of the area of the triangle, and thus find a straight line equation can be set straight line intercept equation to solve.