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Đỗ Vũ Nhật Anh
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Duy Nghĩa Hoàng
15 tháng 11 2021 lúc 21:58

Giống mình làm

 

Tiến Phạm
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Khánh Linh Bùi
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The Moon
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The Moon
20 tháng 8 2021 lúc 17:54

GẤP LẮM Ạ,NGAY BÂY GIỜ Ạ

đào khánh lâm
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Nguyễn Lê Phước Thịnh
10 tháng 3 2022 lúc 21:53

Bài 1: 

a: Xét ΔABC có \(AC^2=AB^2+BC^2\)

nên ΔABC vuông tại B

b: XétΔABC có BC<AB<AC

nên \(\widehat{A}< \widehat{C}< \widehat{B}\)

Kimian Hajan Ruventaren
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Hồng Phúc
16 tháng 1 2021 lúc 18:07

Tọa độ điểm C:

\(\left\{{}\begin{matrix}x_C=3x_I-x_A-x_B=1\\y_C=3y_I-y_A-y_B=-4\end{matrix}\right.\Rightarrow C\left(1;-4\right)\)

Ta có: 

\(\overrightarrow{AH}=\left(a-3;b+1\right)\)

\(\overrightarrow{BH}=\left(a+1;b-2\right)\)

\(\overrightarrow{BC}=\left(2;-6\right)\)

\(\overrightarrow{AC}=\left(-2;-3\right)\)

Theo giả thiết 

\(AH\perp BC\Rightarrow2\left(a-3\right)-6\left(b+1\right)=0\Leftrightarrow a-3b=6\left(1\right)\)

\(BH\perp AC\Rightarrow-2\left(a+1\right)-3\left(b-2\right)=0\Leftrightarrow2a+3b=4\left(2\right)\)

Từ \(\left(1\right);\left(2\right)\Rightarrow\left\{{}\begin{matrix}a=\dfrac{10}{3}\\b=-\dfrac{8}{9}\end{matrix}\right.\Rightarrow a+3b=\dfrac{2}{3}\)

Pham Trong Bach
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Cao Minh Tâm
8 tháng 11 2018 lúc 17:36

Gọi tọa độ điểm H(a;b)

Ta có:  A H → = a + 1 ; b − 1 ,   B H → = a ; b − 2 ,   B C → = 1 ; − 1 ,   A C → 2 ; 0

Do H là trực tâm tam giác ABC nên:

A C → . B H → = 0 B C → . A H → = 0 ⇒ 2. a + 0. b − 2 = 0 1. a + 1 − 1. b − 1 = 0 ⇒ a = 0 b = 2

Vậy H (0; 2).

Chọn A

Hòng
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vua phá lưới 2018
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Vũ Thị Minh Ánh
24 tháng 12 2022 lúc 10:59

\(AB=\sqrt{\left(-2-2\right)^2+\left(-1+2\right)^2}=\sqrt{17}\)

\(AC=\sqrt{\left(1-2\right)^2+\left(2+2\right)^2}=\sqrt{17}\)

Vậy tam giác ABC cân tại A.

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

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