论文部分内容阅读
不等式有三条性质:1不等式性质1:不等式的两边同时加(或减)同一个数(或式子),不等号的方向不变;2不等式性质2:不等式的两边同时乘(或除以)同一个正数,不等号的方向不变;3不等式性质3:不等式的两边同时乘(或除以)同一个负数,不等号的方向改变。这是解题的依据,灵活的运用这三条基本性质就可以解决有关不等式的问题了,下面通过灵活运用这三条性质巧妙的解决一类多元不等式问题。例1(2014·广东珠海)阅读下列材料:
Inequalities have three properties: 1 Inequality Properties 1: The same number (or formula) is added to (or subtracted from) both sides of the inequality, and the direction of the inequality sign is unchanged. 2 Inequality Property 2: Multiply (or divide by) A positive number, the direction of the inequality of the same; 3 inequality nature 3: both sides of the inequality by the same time (or divided by) the same negative, the inequality of the direction of change. This is the basis for problem solving. The flexible application of these three basic properties can solve the problem of inequality. The following is a clever solution to a class of multivariate inequality problems through the flexible application of these three properties. Example 1 (2014 · Zhuhai, Guangdong) Read the following materials: