论文部分内容阅读
2014年浙江省绍兴市数学学业评价试卷第23题,是以正方形和等腰直角三角形为命题依托,以直角夹半角(简称半角模型)为命题的关键条件,综合考查了轴对称,旋转,三角形全等,三角形相似等知识,体现了几何基本模型的构建,方程,转化等数学思想,对学生几何直观的意识渗透与能力的培养起到了较好的促进作用.题目(1)如图1,正方形ABCD中,点E,F分别在边BC,CD上,∠EAF=45°,延长
The 23rd Questionnaire of Mathematical Academic Evaluation in Shaoxing, Zhejiang Province in 2014 is the key to proposing the square and the isosceles right-angled triangle and proposing the right-angled half-angle (abbreviated as the half-angle model), and comprehensively examines the axial symmetry, rotation, triangle Congruent, triangular similarity and other knowledge, which reflects the geometric basic model of the construction, equations, transformation and other mathematical ideas on the students intuitive understanding of the penetration of the geometry and ability to play a good role in promoting.Charters (1) As shown in Figure 1, In the square ABCD, the points E, F are on the sides BC, CD respectively, ∠EAF = 45 °, extended