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立体几何内容既承担着对逻辑思维能力的考查,又承载着对空间想象能力的考查,因此学习立体几何重点应放在培养观察能力、作图能力和想象能力上.学习立体几何的思维方法可分为分析性思维和综合性思维两大类,而求同思维和求异思维又是分析性思维的主要形式~([1,2]).在立体几何教学中,通过一题多解,可以较好地锻炼学生的各种思维能力~([3,4]),因此在教学中会经常使用。下面结合2011年全国新课标高考理科第18题(立体几何题)来阐述如何培养学生的多种思维,原题是这样
Three-dimensional geometric content not only bear the test of logical thinking ability, but also carries on the test of space imagination, so learning the three-dimensional geometry should focus on training observation ability, drawing ability and imagination ability to learn three-dimensional geometry thinking method Divided into two major categories of analytical thinking and comprehensive thinking, and the same thinking and different thinking is the main form of analytical thinking ([1,2]) .In three-dimensional geometry teaching, through a multi-solution, Students can better exercise a variety of thinking skills ~ ([3,4]), so in teaching will often use. The following combination of the 2011 National New Curriculum college entrance examination science subjects 18 (three-dimensional geometry) to illustrate how to develop a variety of student thinking, the original title is this