Những câu hỏi liên quan
lilith.
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Nguyễn Lê Phước Thịnh
8 tháng 12 2023 lúc 20:48

a: Xét ΔADB và ΔADE có

AD chung

\(\widehat{BAD}=\widehat{EAD}\)

AB=AE

Do đó: ΔADB=ΔADE

b: Ta có: ΔADB=ΔADE

=>\(\widehat{ABD}=\widehat{AED}\)

=>\(\widehat{ABC}=\widehat{AEF}\)

Xét ΔEAF và ΔBAC có

\(\widehat{AEF}=\widehat{ABC}\)

AE=AB

\(\widehat{EAF}\) chung

Do đó: ΔEAF=ΔBAC

=>AF=AC

c: Ta có: AB+BF=AF

AE+EC=AC

mà AB=AE và AF=AC

nên BF=EC

Ta có: \(\widehat{ABD}+\widehat{FBD}=180^0\)(hai góc kề bù)

\(\widehat{AED}+\widehat{CED}=180^0\)(hai góc kề bù)

mà \(\widehat{ABD}=\widehat{AED}\)

nên \(\widehat{FBD}=\widehat{CED}\)

Ta có: ΔABD=ΔAED

=>DB=DE

Xét ΔDBF và ΔDEC có

DB=DE

\(\widehat{DBF}=\widehat{DEC}\)

BF=EC

Do đó: ΔDBF=ΔDEC

Vũ Vẫn Vu Vơ
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Nguyễn Lê Phước Thịnh
1 tháng 4 2021 lúc 21:31

a) Xét ΔAEC vuông tại E và ΔADB vuông tại D có 

\(\widehat{BAD}\) chung

Do đó: ΔAEC\(\sim\)ΔADB(g-g)

Vũ Vẫn Vu Vơ
1 tháng 4 2021 lúc 21:33

Giupps vs

Vũ Vẫn Vu Vơ
1 tháng 4 2021 lúc 21:50

Giúp 

Lừađảo TV
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Nguyễn Lê Phước Thịnh
29 tháng 1 2022 lúc 14:06

a: Xét ΔAED có AE=AD
nên ΔAED cân tại A

mà \(\widehat{A}=60^0\)

nên ΔAED đều

b: Xét ΔDEC có DE=DC

nên ΔDEC cân tại D

c: Xét ΔCEA có 

ED là đường trung tuyến

ED=CA/2

Do đó:ΔCEA vuông tại E

hay CE\(\perp\)AB

Anh Nam
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phươngtrinh
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Nguyễn Lê Phước Thịnh
6 tháng 10 2021 lúc 15:30

b: Xét ΔAKB vuông tại K và ΔAKC vuông tại K có 

AB=AC
AK chung

Do đó: ΔAKB=ΔAKC

Suy ra: KB=KC

Xét ΔMBK vuông tại M và ΔNCK vuông tại N có 

KB=KC

\(\widehat{B}=\widehat{C}\)

Do đó: ΔMBK=ΔNCK

Suy ra: KM=KN(1)

Xét ΔAKB vuông tại K có KM là đường cao ứng với cạnh huyền AB

nên \(AM\cdot MB=KM^2\left(2\right)\)

Xét ΔAKC vuông tại K có KN là đường cao ứng với cạnh huyền AC

nên \(AN\cdot NC=KN^2\left(3\right)\)

Từ (1), (2) và (3) suy ra \(AM\cdot MB=AN\cdot NC\)

dsfdsf
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Trịnh Việt Dũng
15 tháng 6 2022 lúc 20:31

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Baỏ Trần
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Trịnh Việt Dũng
15 tháng 6 2022 lúc 20:34

câu 1 E + F = 90 độ

câu 2 góc AMB và góc AMC

câu 3 AC = MP

 

Tomioka Giyuu
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Nguyễn Lê Phước Thịnh
7 tháng 10 2021 lúc 21:12

a: Ta có: M và N đối xứng nhau qua AB

nên AB là đường trung trực của MN

Suy ra: AM=AN; BM=BN

Xét ΔABN và ΔABM có 

AB chung

BN=BM

AN=AM

Do đó: ΔABN=ΔABM

Trâm Anh Nguyễn
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Nguyễn Lê Phước Thịnh
27 tháng 1 2023 lúc 19:53

a: Xét ΔABD vuông tại D và ΔACE vuông tại E có

AB=AC

góc BAD chung

=>ΔABD=ΔACE

b: Xét ΔEBC vuông tại E và ΔDCB vuông tại D có

BC chung

EC=BD

=>ΔEBC=ΔDCB

c: Xét ΔEAM vuông tại E và ΔDAM vuông tại D có

AM chung

AE=AD

=>ΔEAM=ΔDAM

Mina
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Nguyễn Lê Phước Thịnh
30 tháng 10 2021 lúc 22:53

a: Xét ΔABC có 

M là trung điểm của AB

N là trung điểm của AC

Do đó: MN là đường trung bình của ΔABC

Suy ra: MN//BC

hay BMNC là hình thang