例谈函数型综合题的解题策略（A case study on the problem-solving strategies of function type comprehensive questions）.docVIP

例谈函数型综合题的解题策略（A case study on the problem-solving strategies of function type comprehensive questions） Collected by oneself Mistakes are unavoidable For reference only In case of error Please correct me! Thank you Special topic on function oriented synthesis questions An analysis of 24 questions in the mathematics of Shanghai in 2007 Shanghai experimental school east school Gu Shaohong Teaching emphasis Grasp the general strategy of solving function type comprehensive questions Two, teaching difficulties 1. classification discussion Do not repeat, do not miss; 2. solving equations with alphabet coefficients Three, teaching process The function synthesis question does not have the big change in the examination question structure compared with the past years Still in the background of the function image Combining algebra and geometry knowledge It embodies the combination of numbers and shapes and the idea of classification Geometry is often placed in a plane Cartesian coordinate system Combined with function image synthesis, this paper takes the mathematics test in Shanghai in 2007 as an example to analyze the problem-solving strategies of function type comprehensive questions The twenty-fourth question is shown in Figure 1 In the Cartesian plane Function (x 0 The image of M is constant) passes through A (1) 4) B (a B) Where a 1., over A, X axis vertical Pedal for C The passing point B is perpendicular to the Y axis Pedal for D Link AD DC CB. (1) if the ABD area is 4 Find the coordinates of the point B; (2): DC / / AB confirmation; (3) when AD = BC Find the function analytic formula of the line AB In terms of knowledge This question involves functions, equations, quadrilateral, parallel lines and so on Infiltration of the method of undetermined coefficients, the idea of classification discussion, figure motion in the figure of the combination of ideas, and so on, there is not much knowledge However, the method of examination is relatively rich So this question is an