Question 1

如圖，已知$\Delta$ABC$\sim$$\Delta$DEF，R、S分別為$\overline{BC}$、$\overline{EF}$的中點，若8$\overline{AR}$=7$\overline{DS}$，$\overline{BR}$=14，則$\overline{ES}$=？

Accepted Answer

16

Answer

18

Answer

12

Answer

15

Question 2

已知$\Delta$ABC$\sim$$\Delta$DEF，$\overline{CM}$、$\overline{FN}$分別為$\overline{AB}$、$\overline{DE}$上的高，若$\overline{CM}$：$\overline{FN}$ = 4：5，$\overline{BC}$=20，則$\overline{EF}$=？

Accepted Answer

25

Answer

24

Answer

18

Answer

16

Question 3

如圖，已知$\Delta$ABC$\sim$$\Delta$EFG，若$\overline{AD}$與$\overline{EH}$分別是$\angle BAC$和$\angle FEG$的角平分線，若$\overline{AD}$=$\frac{5}{2}$$\overline{EH}$，$\overline{EG}$=10，則$\overline{AC}$=？

Accepted Answer

25

Answer

4

Answer

16

Answer

20

Question 4

如圖，梯形ABCD中，$\overline{AD}$//$\overline{BC}$，對角線$\overline{AC}$與$\overline{BD}$交於E點，若$\overline{AD}$：$\overline{BC}$ = 2：5，$\Delta$ADE的面積為100，則$\Delta$BCE的面積為何？

Accepted Answer

625

Answer

250

Answer

500

Answer

450

Question 5

如圖，梯形ABCD中，$\overline{BA}$//$\overline{CD}$，對角線$\overline{AC}$與$\overline{BD}$交於O點，若$\overline{BA}$ = 6，$\overline{CD}$ = 10，$\Delta$AOB的面積為36，則$\Delta$COD的面積為何？

Accepted Answer

100

Answer

90

Answer

60

Answer

75

Question 6

如圖，平行四邊形ABCD中，若$\overline{AE}$：$\overline{BC}$ = 2：6，$\Delta$EMD的面積為24，則$\Delta$BMC的面積為何？

Accepted Answer

54

Answer

48

Answer

36

Answer

42

Question 7

如圖，已知$\Delta$ABC$\sim$$\Delta$DEF，若$\overline{AR}$與$\overline{DS}$分別是$\angle BAC$和$\angle EDF$的角平分線，若$\overline{DS}$=$\frac{8}{5}$$\overline{AR}$，$\Delta$DEF的面積為128，則$\Delta$ABC的面積為何？

Accepted Answer

50

Answer

96

Answer

12.5

Answer

80

Question 8

如圖，已知$\Delta$ABC$\sim$$\Delta$DEF，R、S分別為$\overline{BC}$、$\overline{EF}$的中點，若2$\overline{DS}$=3$\overline{AR}$，當$\Delta$ABC的周長為8，則$\Delta$DEF的周長為何？

Accepted Answer

12

Answer

21

Answer

16

Answer

18

Question 9

如圖，$\Delta$ABC中，$\angle A$ = $\angle B$，$\angle 1$ = $\angle 2$，$\overline{EF}$ = $\frac{1}{2}$$\overline{BC}$，若$\Delta$AEF的周長 = 32，則$\Delta$ABC的周長為何？

Accepted Answer

64

Answer

48

Answer

16

Answer

32

Question 10

如圖，已知$\Delta$ABC中，E、F分別為$\overline{AB}$、$\overline{AC}$的中點，若$\Delta$ABC的面積為16平分公分，則$\Delta$AEF的面積為何？

Accepted Answer

4

Answer

12

Answer

9

Answer

8

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