题1(“江淮十校”2016届高三联考卷数学(文科)第16题)经过点(2,1)的直线l和两坐标轴相交于A,B两点,若△AOB(O是原点)的面积恰为4,则符合要求的直线l有_____条.这是笔者所在学校(省级示范高中)一道高三数学联考试题,一部分同学给出的答案是3,另一部分同学给出的答案是4.在试卷讲评课上,笔者带领学生对该题解法一探究竟,以求找到不同答案产生的原因,掌握此类问题的解题策略.结果,同学们争论不休,课堂上精彩 Question 1 ( “JAC ten school ” 2016 high school entrance examination mathematics (liberal arts) the first 16 questions) The point (2,1) of the line l and the two axes intersect at A, B two points, if △ AOB ( O is the origin) area is exactly 4, then meet the requirements of the line l _ _. This is the author where the school (provincial demonstration high school) a high school mathematics exam questions, some students give the answer is 3, and the other Some students give the answer is 4. In the papers comment class, I lead students to explore the solution to the problem, in order to find the reasons for the different answers, to master the problem solving strategies.Therefore, the students argue endlessly Wonderful in class