HKDSE數學必修部分模擬試題卷二題解 Solutions to HKDSE Maths Compulsory Part Paper 2 (Sample Paper) - Part 1

以下是HKDSE數學試卷必修部分卷二（英文版下載/ 中文版下載）第1～10題的答案。

（注意：若你正在尋找考評局2012年1月出版的練習試題答案，請參閱此頁。）

如欲查閱第11～20題答案，請參閱題解Part 2。

如欲查閱第21～30題答案，請參閱題解Part 3。

如欲查閱第31～45題答案，請參閱題解Part 4。

請注意：此試題題解只供英文版本，歡迎轉載，但請提供來源（網址： http://hkdsefighter.blogspot.com/2011/06/hkdse-hkdse-maths-compulsory-part-paper_11.html。）

1. The answer is C.

(3a)²(a³)

=9a²(a³)

=9a⁵

2. The answer is C.

5-3m=2n

5-2n=3m

m=(5-2n)÷3

3. The answer is C.

a²-b² +2b-1

=a²-(b² -2b+1)

=a²-(b-1)²

=[a+(b-1)][a-(b-1)]

=(a-b+1)(a+b-1)

4. The answer is A.

L.H.S.=x²+px+(5p+q)

R.H.S.=x²+3x-10

p=3, 5p+q=-10

Therefore, 5(3)+q=10

q=-25

5. The answer is C.

f(-2)

=(-2)³+2(-2)²-7(-2)+3

=-8+8+14+3

=17 (Remainder Theorem)

6. The answer is D.

(x-a)(x-a-1)=(x-a)

(x-a)[(x-a-1)-1]=0

(x-a)(x-a-2)=0

x-a=0 or x-a-2=0

x=a or x=a+2

7. The answer is D.

x²-6x=2-k

x²-6x+(k-2)=0

Discriminant

=(-6)²-4(1)(k-2)

=36-4(k-2)

=36-4k+8

=44-4k<0

Therefore,

-4k<-44

k>11

8. The answer is A.

III is wrong because the mid-point of A and B should be where the axis of symmetry passes through. As the x-coordinate of the mid-point is (1+7)÷2=4, the axis of symmetry should be x=4. So III is wrong and the answer is A.

9. The answer is C.

5-2x<3

-2x<-2

x>1

4x+8>0

4x>-8

x>-2

The result is x>1 and x>-2.

The range that satisfies both domains will be x>1.

10. The answer is A.

Total cost of the handbags= 240÷(1+20%)+240÷(1-20%)= $500

Total selling price= 240(2)= $480

So the girl has lost $20.

相關文章：香港中學文憑試模擬試題、HKDSE數學必修部分模擬試題卷二連答案 (HKDSE Maths Compulsory Part Paper 2 (Sample Paper) with Answers)