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Pham Trong Bach
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Cao Minh Tâm
25 tháng 3 2017 lúc 6:37

1

Vũ Nguyễn Phương Thảo
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Pham Trong Bach
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Cao Minh Tâm
31 tháng 12 2018 lúc 11:48

Bài tập tổng hợp chương 2 Hình học 8 | Lý thuyết và Bài tập Toán 8 có đáp án

+ Các tam giác ABC và ABH có chung đáy AB nên tỉ số đường cao bằng tỉ số diện tích:Bài tập tổng hợp chương 2 Hình học 8 | Lý thuyết và Bài tập Toán 8 có đáp án

+ Tương tự:Bài tập tổng hợp chương 2 Hình học 8 | Lý thuyết và Bài tập Toán 8 có đáp án

Khi đó ta cóBài tập tổng hợp chương 2 Hình học 8 | Lý thuyết và Bài tập Toán 8 có đáp án

TẠ THỊ THỦY
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pourquoi:)
9 tháng 5 2022 lúc 21:29

a, Xét Δ ABD và Δ ABE, có :

\(\widehat{ADB}=\widehat{AEB}=90^o\)

\(\widehat{BAD}=\widehat{BAE}\) (góc chung)

=> Δ ABD ∾ Δ ABE (g.g)

b, Xét Δ EHB và Δ DHC, có :

\(\widehat{EHB}=\widehat{DHC}\) (đối đỉnh)

\(\widehat{HEB}=\widehat{HDC}=90^o\)

=> Δ EHB ∾ Δ DHC (g.g)

=> \(\dfrac{EH}{DH}=\dfrac{HB}{HC}\)

=> \(HB.HD=HC.HE\)

Etermintrude💫
9 tháng 5 2022 lúc 21:37

undefined

CHÚC EM HỌC TỐT NHÉok

trịnh việt nguyên
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Trí Tiên亗
1 tháng 3 2020 lúc 20:22

A B C A' B' C' Hình vẽ chỉ mang tính chất minh họa

Ta có : \(\frac{AH}{AA'}=\frac{S_{ABH}}{S_{ABA'}}=\frac{S_{ACH}}{S_{ACA'}}=\frac{S_{ABH}+S_{ACH}}{S_{ABC}}\)   ( Tính chất dãy tỉ số bằng nhau, tỉ số diện tích )

Tương tự ta có :

\(\frac{BH}{BB'}=\frac{S_{AHB}+S_{BHC}}{S_{ABC}}\) , \(\frac{CH}{CC'}=\frac{S_{ACH}+S_{BHC}}{S_{SBC}}\)

Do đó :

\(\frac{AH}{AA'}+\frac{BH}{BB'}+\frac{CH}{CC'}=\frac{2\left(S_{ABH}+S_{AHC}+S_{BHC}\right)}{S_{ABC}}=\frac{2\cdot S_{ABC}}{S_{ABC}}=2\)

Vậy : \(\frac{AH}{AA'}+\frac{BH}{BB'}+\frac{CH}{CC'}=2\)

Khách vãng lai đã xóa
Le Thi Khanh Huyen
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Le Thi Khanh Huyen
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Bear XD
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Bear XD
17 tháng 5 2023 lúc 22:46

mình cần gâps huhu

 

Nguyễn Lê Phước Thịnh
17 tháng 5 2023 lúc 22:48

Mở ảnh

=>AM=AN