论文部分内容阅读
1试题呈现如图1,正方形ABCD的对角线交于O点,点M、N分别是BC、CD上的动点(不与点B、C、D重合),AM、AN分别交BD于E、F,且∠MAN=45°始终不变。(1)求证:(AF)/(AM)=(2~(1/2))/2;(2)求证:AF⊥FM;(3)请探索:在∠MAN旋转过程中,当∠BAM等于多少度时,∠FMN=∠BAM,写出你的探索结论并加以说明。(2016年淄博市中考数学第24题)2自然解法展示初读该题,发现这是一道在旧题背景图像基础上命制的题目,设计新颖,子问题难度的设置有一定梯
1 questions presented in Figure 1, the diagonal of the square ABCD at O points, points M, N are BC, CD on the moving point (not with the points B, C, D coincidence), AM, AN were handed BD E, F, and ∠MAN = 45 ° is always the same. (2) Verification: AF ⊥ FM; (3) Please explore: ∠MAN rotation process, when ∠ BAM When equal to how many degrees, ∠ FMN = ∠ BAM, write your exploration findings and explain. (2016 Zibo City Mathematics 24) 2 natural solution to show the first reading of the title and found that this is a question based on the background image of the old title of the problem, the design of new, sub-problem set the difficulty of a certain ladder