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“希望杯”全国数学邀请赛试题、培训题中某些几何问题,可将待求的几何量看作一个未知元。然后根据几何图形的性质,找出它与其它几何量之间的内在联系,列出方程或方程组,便能通过代数计算解决问题.这些题目体现了“希望杯”的命题原则:“力求与其他学科及现代实际生活建立联系,培养青少年的创造思维能力,解决实际问题的能力”.
Some geometric problems in the “Hope Cup” national mathematics invitational exam questions and training questions can be considered as an unknown element. Then according to the nature of the geometry, to find out the intrinsic link between it and other geometric quantities, to list the equations or equations, to solve problems through algebraic calculations. These topics reflect the proposition principle of the “Hope Cup”: “seeking Establish links with other disciplines and modern real life to cultivate young people’s ability to create thinking and solve practical problems.”