2025年剑桥考试数学题目及答案.docVIP

2025年剑桥考试数学题目及答案

一、单项选择题（每题2分）

1.If\(x+2=5\),then\(x\)equals:

A.3

B.2

C.5

D.7

答案：A

2.Thevalueof\(3^2+4^2\)is:

A.25

B.30

C.35

D.40

答案：A

3.Theslopeofthelinepassingthroughthepoints\((1,2)\)and\((3,6)\)is:

A.1

B.2

C.3

D.4

答案：C

4.If\(\sin\theta=\frac{3}{5}\),then\(\cos\theta\)is:

A.\(\frac{4}{5}\)

B.\(\frac{3}{4}\)

C.\(\frac{5}{3}\)

D.\(\frac{4}{3}\)

答案：A

5.Theequationofthecirclewithcenterat\((2,3)\)andradius4is:

A.\((x-2)^2+(y-3)^2=4\)

B.\((x+2)^2+(y+3)^2=4\)

C.\((x-2)^2+(y-3)^2=16\)

D.\((x+2)^2+(y+3)^2=16\)

答案：C

6.Thederivativeof\(f(x)=x^3\)is:

A.\(3x^2\)

B.\(2x\)

C.\(3x\)

D.\(x^2\)

答案：A

7.Theintegralof\(2x\)withrespectto\(x\)is:

A.\(x^2+C\)

B.\(2x^2+C\)

C.\(\frac{x^2}{2}+C\)

D.\(\frac{2x^2}{2}+C\)

答案：C

8.Thevalueof\(\log_28\)is:

A.2

B.3

C.4

D.5

答案：B

9.If\(A=\begin{pmatrix}12\\34\end{pmatrix}\)and\(B=\begin{pmatrix}56\\78\end{pmatrix}\),then\(AB\)is:

A.\(\begin{pmatrix}1114\\1722\end{pmatrix}\)

B.\(\begin{pmatrix}1316\\1924\end{pmatrix}\)

C.\(\begin{pmatrix}1518\\2126\end{pmatrix}\)

D.\(\begin{pmatrix}1720\\2328\end{pmatrix}\)

答案：A

10.Thesolutiontotheequation\(2x-3=7\)is:

A.5

B.4

C.3

D.2

答案：A

二、多项选择题（每题2分）

1.Whichofthefollowingareprimenumbers?

A.2

B.3

C.4

D.5

答案：A,B,D

2.Thefollowingarefunctions:

A.\(f(x)=x^2\)

B.\(g(x)=\frac{1}{x}\)

C.\(h(x)=2x+3\)

D.\(i(x)=\sqrt{x}\)

答案：A,B,C,D

3.Thefollowingaresolutionstotheequation\(x^2-4=0\):

A.2

B.-2

C.4

D.-4

答案：A,B

4.Thefollowingarepropertiesofaparallelogram:

A.Oppositesidesareequal

B.Oppositeanglesareequal

C.Diagonalsbisecteachother

D.Allanglesare90degrees

答案：A,B,C

5.Thefollowingaretrigonometricidentities:

A.\(\sin^2\theta+\cos^2\theta=1\)

B.