Maths Questions+求檔

2010-11-21 9:20 pm
I want explanations on the following 2 Maths MC Qs:
(Figure: http://uploadpic.org/storage/originals/thumb_9d22n8nju829f2rlef2384fj23.jpg)
In the figure, the inscribed circle triangle OPQ touches PQ at R. Find the cooridinates of R.
A. (3/2, 2)
B. (6/5, 12/5)
C. (9/5, 8/5)
D. (9/7, 16/7)
E. (12/7, 12/7)
Ans: C

Let O be the origin. If the coordinates of the points A and B are (6,0) and (0,6) respectively, then the coordinates of the in-centre of triangle ABO are
A. (0, 0)
B. (2, 2)
C. (3, 3)
D. (6-(3sq. root2), 6-(3sq. root2),
Ans: D

同埋求以下的會考試卷及評參:
2003, 2006, 2008 Maths Paper 1 Official Marking Scheme
2009中國語文各卷評參
2009 Additional Mathematics marking scheme
2009 Maths MC Ans
2009 Physics Paper 1 marking scheme
2007-2009 English (with marking scheme)
Thanks=]
更新1:

有冇人可以幫手答答嗰兩題MC??

回答 (2)

2010-11-22 6:06 am
✔ 最佳答案
目前網上只有:
Math 1986-2008 LQ & MC & Marking http://www.u-file.net/f-niz3986Chin 1987-2009 http://www.mediafire.com/?37m23joo7erep7t2009 BDDAA ABDBC BCCDD ABBAC DBBCD AACAD BADCC CDCDD ABAAB CBBCC BDCA06-10 ENG: http://www.4shared.com/file/YrHOshvV/CE_ENG_06-09.html
2010-11-24 6:59 am
Use the property of tangent, radius of circle = 1
So the equation of circle can be found.
By solving the simultaneous equations of the circle and the line QR, the coordinates of R is (9/5, 8/5)

2010-11-23 22:59:10 補充:
Similarly, for the second question, radius of inscribed circle is 6 - 3root2.
So the coordinates of in-centre is (6-3root2, 6-3root2)


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