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Bảo Như Trương
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Bảo Như Trương
19 tháng 10 2021 lúc 17:03

2/3 nha mn, Giải chi tiết giúp mik.

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Hoang Anh Nguyen
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nguyen thi tu trinh
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Lục Vân Ca
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andiengn
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Nguyễn Việt Lâm
15 tháng 2 2022 lúc 22:22

Áp dụng công thức trọng tâm:

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

\(\Rightarrow\overrightarrow{CA}=\left(4;5\right)\) ; \(\overrightarrow{AB}=\left(1;2\right)\)

Đường cao d đi qua B vuông góc AC nên nhận \(\overrightarrow{CA}=\left(4;5\right)\) là 1 vtpt

Phương trình d: 

\(4\left(x-2\right)+5\left(y-3\right)=0\Leftrightarrow4x+5y-23=0\)

Đường cao d1 đi qua C vuông góc AB nên nhận (1;2) là 1 vtpt

Phương trình d1:

\(1\left(x+3\right)+2\left(y+4\right)=0\Leftrightarrow x+2y+11=0\)

H là giao điểm d và d1 nên tọa độ thỏa mãn:

\(\left\{{}\begin{matrix}4x+5y-23=0\\x+2y+11=0\end{matrix}\right.\)  \(\Rightarrow\left\{{}\begin{matrix}x=\dfrac{101}{3}\\y=-\dfrac{67}{3}\end{matrix}\right.\) \(\Rightarrow H\left(\dfrac{101}{3};-\dfrac{67}{3}\right)\)

32	Đinh Đức Thọ
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Tạ Danh Bảo
18 tháng 6 2020 lúc 14:58

12345-4367nhéa

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Tạ Danh Bảo
18 tháng 6 2020 lúc 15:01

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Nguyễn Hoàng Tuấn Tú
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Rosie
9 tháng 12 2021 lúc 17:49

c

Rosie
9 tháng 12 2021 lúc 17:50

Đáp án C

dũng nguyễn tiến
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Nguyễn Lê Phước Thịnh
18 tháng 12 2021 lúc 21:01

\(\left\{{}\begin{matrix}x_G=\dfrac{-1+\left(-2\right)+4}{3}=\dfrac{1}{3}\\y_G=\dfrac{1+3+\left(-5\right)}{3}=-\dfrac{1}{3}\end{matrix}\right.\)

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Trịnh Việt Dũng
15 tháng 6 2022 lúc 20:31

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