1-4相似三角形的應用

1-4相似三角形的應用

9th Grade

10 Qs

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1-4相似三角形的應用

1-4相似三角形的應用

Assessment

Quiz

Mathematics

9th Grade

Practice Problem

Medium

Created by

許逸菁 許逸菁

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10 questions

Show all answers

1.

MULTIPLE CHOICE QUESTION

20 sec • 1 pt

兩相似三角形的對應線段關係,下列敘述何者錯誤?

對應高的比等於對應邊的比

對應中線的比等於其對應邊的比

面積比等於對應邊的平方比

周長比等於對應邊比的3倍

2.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

Media Image

 直角 ΔABC\Delta ABC  中, BAC=90°,ADBC\angle BAC=90\degree,\overline{AD}\perp\overline{BC}  ,則下列敘述何者錯誤? 

 ΔABCΔDBAΔDCA\Delta ABC\sim\Delta DBA\sim\Delta DCA  

 AB2=BC×BD\overline{AB}^2=\overline{BC}\times\overline{BD}  

 AC2=CD×CB\overline{AC}^2=\overline{CD}\times\overline{CB}  

 AD2=DB×DC\overline{AD}^2=\overline{DB}\times\overline{DC}  

3.

MULTIPLE CHOICE QUESTION

2 mins • 1 pt

Media Image

如圖 ΔABC\Delta ABC 中, D、E分別為 AB\overline{AB}  、 AC\overline{AC}  的中點,則 EF:BF=?\overline{EF}:\overline{BF}=?  

2:1

1:2

3:1

1:3

4.

MULTIPLE CHOICE QUESTION

2 mins • 1 pt

Media Image

  ΔABC\Delta ABC  中D,E分別為AB,AC的中點,若 AB\overline{AB} =8 , BC\overline{BC}  =10, AC\overline{AC}  =12,則△ADE的周長為何?

10

12

15

18

5.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

Media Image

如右圖,△ABC中,DE//BC,AD:DB=3:4,則△ADE周長:△ABC周長=?

2:5

3:4

2:9

3:7

6.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

Media Image

如圖, ΔABCΔDEF\Delta ABC\sim\Delta DEF 中, AP,DQ\overline{AP},\overline{DQ}  分別為 BAC\angle BAC  與 DEF\angle DEF  的角平分線,若AB=8,DE=12,則AP:DQ=?

3:2

2:3

9:4

4:9

7.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

Media Image

如圖, ΔABCΔDEF\Delta ABC\sim\Delta DEF 中, AH,DK\overline{AH},\overline{DK}  分別為對應高,若 AH:DK=4:3\overline{AH}:\overline{DK}=4:3  且 ΔABC\Delta ABC  面積為32,試求 ΔDEF\Delta DEF  的面積?

18

21

24

27

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