[微積] 很簡單但是看不懂題目
Part A Consider this 2x2 system of linear equations x+2y=3 and 2x-y= -4
‧ Examine the constants in the first equation and describe any patterns.
Repeat for the second equation.
‧ Solve the above system. Display your solution graphically. What is the
significance of the solution?
‧ Create and solve a few more systems similar to the example above. Comment
on your solutions.
‧ Make a conjecture regarding this type of ２ｘ２system and prove it.
‧ Using technology, extend your investigation to ３ｘ３systems whose
constants exhibit the patterns seen above.
‧ Make a conjecture regarding the solution to those ３ｘ３ systems and
prove your conjecture.
Part B Consider this ２ｘ２ system of linear equations x+2y=4 and 5x - y = 1/5
‧ Examine the constants in both equations and describe any patterns.
‧ Re-write the above two equations in the form ｙ＝ａｘ＋ｂ. How are the
constants a and ｂ related?
‧ Using technology, create a family of linear equations similar to the
example shown above. On the same set of axes, display your equations. Ensure
that the family of equations includes several lines with a wide range of
gradients.
‧ Closely examine the resulting graphical display. Clearly describe any
apparent graphical patterns.
‧ Set up and solve a general ２ｘ２ system that incorporates the patterns
found above.
‧ Using your solution to the general system, or otherwise, provide a proof
of the graphical pattern observed above.
就讀美國學校的同學問的問題，Part A的最後兩題根本就沒有頭緒，Part B 第3、4題
有人可以提供想法嗎?
(感覺不是難，而是看不懂XD)
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03/03 10:53, , 1F
03/03 10:53, 1F