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Shanghai junior high school mathematics formula
(3): Because the triangle ABC is an equilateral triangle.

Angle DCB is equal to 60 degrees.

Because BD is perpendicular to AC

So CDB angle =90 degrees.

Because angle CDB+ angle DCB+ angle DBC = 180.

So DBC angle =30 degrees

Because angle DCB+ angle DCE = 180.

So the angle DCE = 120.

Because CE=CD

So angle E= angle EDC

Because angle E+ angle EDC+ angle DCE = 180.

So the angle e = 30.

So angle E= angle DBC

So DB=DE

(4)AB=AC

Angle ABC= angle ACB

CE is perpendicular to AB and BD is perpendicular to AC.

Points e and d are the midpoint of AB and AC, respectively.

AE= 1\2AB、AD= 1\2AC

AE=AD

AED = ade

A+AED _ ade = 180, A+ABC+ACB= 180.

ADE ade =ABC+ACB

AED=ABC

DE is parallel to BC

(5)AC=AB

Angle A= angle b

ACB=90、ACB+A+B= 180

A+B=90 B=45

ED is perpendicular to AB

Adebayor =EDB=90

EDB+ debt +B= 180

DEB=45

DEB=B

DE=DB

AC=AD

ADC=ACD

ADE = ade =90

ACB-ACD=ADE-ADC

ECD=CDE

CE=DE

CE=DE=DB

(6)AD divides EAC equally.

EAD=CAD

In AED and ACD.

AD=AD

EDA=CAD

AE=AC

AED is completely equivalent to ACD.

ED=CD

The angle 1 equals CDE.

EF is parallel to BC

Federal reserve =EDB

EDB= 1+CDE, Federal Reserve = 1+2

CDE=2

1=2

(7)AD divides BAC equally.

EAD=DAC

DE in parallel with AC

DAC=EDA

EDA=EAD

ED=EA

EF is perpendicular to EA

EF divides DEA into two parts

AEO=DEO

In AEF and DEF

EF=EF

AEF=DEF

AE=DE

AEF equals Secretary of Defense.

AF=DF

I can't do the eighth question either. . sorry