“等”是“不等”的“分界点”

• 作 者: 马罗
• 机 构: 湖南长沙市田家炳实验中学
• 出 处: 数学大世界(高中生数学辅导版)
• 发表日期: 2003年11期
• 关键词: 解不等式 分界点 题设条件 解题思路 高考试题 奇偶性 数学问题 平分线 另一面 平行移动

从表面上看,“等”和“不等”是对立的,但如果着眼于“等”和“不等”的关系,会发现它们之间相互联系的另一面.解不等式的实践告诉我们,不等式的解区间的端点是它的相应等式(方程)的解或者是它的定义区间的端点(这里把+∞、-∞看作端点).也就是说“等”是“不等”的“分界点”,是“不

On the surface, “equivalent” and “inequality” are antagonistic, but if one looks at the relationship between “etc.” and “inequality,” one can find the other side of the relationship between them. The practice of solving inequality tells us that The endpoint of the solution interval of an inequality is the solution of its corresponding equation (equation) or the endpoint of its defined interval (where +∞, -∞ are considered as endpoints). That is to say, “equal” is “inequality” “Demarcation point” is "No