2012 GCE A Level H2 Mathematics Paper 1 Suggested Solutions

2012-11-07 · 4989 阅读
本帖最后由 冷风1985 于 7-11-2012 20:23 编辑

如有错误,欢迎指出。
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回答|共 5 个

幸运2012 LV4

发表于 7-11-2012 21:50:53 | 显示全部楼层

小狮租房
请问你觉得化学题的难度怎么样?

frekiwang LV15

发表于 9-11-2012 19:32:41 | 显示全部楼层

7(iii) answer is right but method is not acceptable. No calculator is allowed, not even scientific one. Therefore logarithm is not allowed. Students are expected to write down 2^9=512 and 2^10=1024 to make a conclusion.

11(i) theta is restricted in the domain of [0,pi].
when theta->0, dy/dx->+infinity only, tangent 'tends to' (cannot use 'become') a vertical line with a positive gradient.
when theta->pi, dy/dx->-infinity only, tangent tends to a vertical line with a negative gradient.

点评

11(i) you are right. I have overlooked the domain. However, 'tends to' written as become is acceptable.  详情 回复 发表于 11-11-2012 13:31
7(iii) though logarithm is shown, but not necessary calculator has been used. Same idea is applied actually.  详情 回复 发表于 10-11-2012 03:33

frekiwang LV15

发表于 10-11-2012 07:34:16 | 显示全部楼层

本帖最后由 frekiwang 于 10-11-2012 07:40 编辑

'n>log2 1000 implies nmin=10' evidences the use of at least a scientific calculator without showing the essential working.

The omitting of crucial step such as '2^10=1024' will result in a loss in marks.

Similar idea such as if in answering a question requiring no use of calculator,

sin(0.6)>0.5 is not an acceptable working, but sin(0.6)>sin(pi/6)=0.5 is.

点评

If logarithm is understood well, there is no difference between 2^10=1024 and log(2)1024=10 are exactly the same, but written in different format. For example: one can easily determine 2<log(2)5<3.   详情 回复 发表于 11-11-2012 13:28

frekiwang LV15

发表于 11-11-2012 19:08:40 | 显示全部楼层

本帖最后由 frekiwang 于 11-11-2012 19:20 编辑

log2(1024)=10, is fine, it shows the evidence of not using a calculator.

n>log2(1000)
n_min=10 is not an working that demonstrates that working.

Students need to write 9=log2(512)<log2(1000)<log2(1024)=10 before n_min=10 to support their conclusion is drawn not from a calculator.

When the question restricts the students to use a certain approach, such as Hence (without otherwise), students have to evidence that they are using the required method by showing essential working steps.

Similar example includes:

Without using a calculator

(1+i)^3=-2+2i will result in a loss of marks

Students are expected to write (1+i)^3=1+3i-3-i=-2+2i or more other intermediate steps to demonstrate they are expanding the expression.

冷风1985 LV8

发表于 11-11-2012 22:23:27 | 显示全部楼层

frekiwang 发表于 11-11-2012 19:08
log2(1024)=10, is fine, it shows the evidence of not using a calculator.

n>log2(1000)

Thanks for sharing. :)
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