论文部分内容阅读
人教版高中《代数》下册 P.194第6题是:设 z_1、z_2是不等于零的复数,用几何法证明:||z_1|-|z_2||≤|z_1±z_2|≤|z_1|+|z_2|(为行文方便以下简称习题)此不等式结构优雅、美观,内涵丰富、深刻,如能挖掘其潜在的解题功能价值,可优化某些数学问题的解题思路,拓宽学生知识应用及解题方法的思维空间,并能激发学生钻研数学的
The sixth issue of P.194 in the PEP version of the PEP High School Algebra is: Let z_1 and z_2 be complex numbers not equal to zero. Prove it in a geometric way: ||z_1|-|z_2||≤|z_1±z_2|≤|z_1 |+|z_2| (for the convenience of the following referred to as exercises) This inequality structure is elegant, beautiful, rich in content, profound, if you can tap the potential value of the problem solving function, you can optimize the problem-solving ideas of certain mathematical problems, broaden the knowledge of students Application and problem-solving methods of thinking space, and can stimulate students to study mathematics