6 2012 6 Research of Modern Basic Education Vol. 6 June 2012 201200 20 1. G 1976-171
2. 3. 1 2 TI 3 TI TABLE 4 RANDBIN 5 6 172 6 Research of Modern Basic Education 2012 6
1 GPS 4. 01 TI - nspire cx 1. 2. 173
6 Research of Modern Basic Education 2012 6 3. y = 2 x y = 3 2 x 4. TI 92 + 1 MAN = 120 E AM AE = 2E EH AN C EH C CD AM CB AN D AE B AN ABCD. 174 1 BD. 2 ABCD. 1.
CAB = α π 6 α π 2. 1 BC = 2 槡 3 CAB = α AB = 槡 3ctgα AC = 槡 3 sinα. AC CAD = 120 - α A = 槡 3cos 120 - α DB. sinα BD 2 = 槡 3cosα sinα 2 2 S ABC = 1 2 AB BC = 3 2 ctgα. + 槡 3cos 120 - α 2 + 2 槡 3cosαcos 120 - α 1 sinα sin 2 α 2. S ADC = 1 2 AD DC = 3 cos 120 - α - α sin 120 2 sinα sinα S ABCD = S ABC + S ADC = 3 2 cosα sin 120 - α cos 120 - α + sinα sin 2 α 3 2. 2 175
6 Research of Modern Basic Education 2012 6 ABCD S ABCDMAX = 3 2 槡 3. S ABCDMIN = 3 2 槡 3. 2 1 200 1 E F OP 176
177
6 Research of Modern Basic Education 2012 6 TI 1 S. 2004. 2 S. 2005. 3. J. 2001 1. 4. J. 2010 11. A Study on Mathematical Experiment of High School Mathematics Order to Two Mathematical Experiments of Function for Example WANG Hao Shanghai Chuansha Middle School Shanghai 201200 Abstract In the information age the mathematical experiment is a new teaching method. It can reflect the nature characteristics of mathematics but also satisfy the development needs of teachers and students. Based on the above understanding of the mathematical experiment the paper presents a basic mode of mathematical experiment design issues - experimental observations - suspect that induction - inference verification. And through two application examples to be described which is the image relationship between the two related functions and seeking function value problems in order to be beneficial to the follow - up study of the mathematical experiment. Key words mathematical experiment high school mathematics function 178