为培养学生的思维能力,在讲授不等式的证明一部分内容时,我曾为学生布置这样一道思考题:“已知a、b、c∈R~+,求证(a~2+b~2)~(1/2)+(b~2+c~2)~(1/2)+(c~2+a~2)~(1/2)≥2~(1/2)(a+b+c)。”,下面主要从五个方面谈谈我是如何通过这道典型习题来培养训练学生的思维能力的。一、当思维受阻以后: 由于本题难度较大,虽经课后时间的思考, In order to cultivate students’ thinking ability, I taught students a part of the proof of inequality: "A, b, c∈R~+ is known, and confirmation is (a~2+b~2)~ (1/2)+(b~2+c~2)~(1/2)+(c~2+a~2)~(1/2)≥2~(1/2)(a+b+ c). The following are mainly from five aspects to talk about how I used this typical exercise to train students’ thinking ability. First, when the thinking is hindered: Due to the difficulty of the subject, despite the time after class,