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第五届华罗庚杯少年数学邀请赛复赛试题中有这样一道计算题:((19 5/9+3 9/10-5.22)/(19 5/9-6 27/50+5.22))÷((1993×0.4)/(1995×0.5)+1.6/1995),测试结果表明,绝大多数同学解题过程冗长,计算复杂,耽误竞赛时间,违背了命题者的初衷。事实上,原题可直接简化为1÷4/5,由原式到1÷4/5是思维过程的一次跨越,它不是靠灵感而是靠长期训练的积累,因此老师在教学过程中必须注意: 1.要培养学生思维的灵活性。经过观察,可发现
The fifth Hua Lo Geng Cup juvenile mathematics invitational rematch test questions such a calculation: ((19 5/9 + 3 9 / 10-5.22) / (19 5 / 9-6 27/50 + 5.22)) ÷ ((1993 × 0.4) / (1995 × 0.5) +1.6 / 1995). The test results show that most of the students solve the problem of lengthy process, complex computation, and delay the race time, which violates the original intention of the proponents. In fact, the original title can be directly reduced to 1 ÷ 4/5, from the original to 1 ÷ 4/5 is a leap in the thinking process, it is not inspired by the accumulation of long-term training, so the teacher in the teaching process must Note: 1. To develop the flexibility of students thinking. After observation, can be found