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Cho hình vuông ABCD có AC cắt BD tại O. M là điểm bất kì thuộc cạnh BC. Tia AM cắt đường thẳng CD tại N. Trên cạnh AB lấy điểm E sao cho BE = CM

Cho hình vuông ABCD có AC cắt BD tại O. M là điểm bất kì thuộc cạnh BC(M khác B,C). Tia AM cắt đường thẳng CD tại N. Trê cạnh AB lấy điểm E sao cho BE=CM.
a) Chứng minh: tam giác OEM vuông cân
b) Chứng minh: ME//BN
c) Từ Ck ẻ CH vuông góc với BN (H thuộc BN). Chứng minh rằng ba điểm O, M, H thẳng hàng.
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Tham khảo câu trả lời từ Trợ lý ảo Lazi
a) Ta có:
\(\angle OME = \angle OMC + \angle CME = \angle OCB + \angle CME = \angle OCB + \angle CBE = \angle OCB + \angle CMB = \angle OCB + \angle CBA = \angle OCB + \angle CDA = 90^\circ\)

Vậy tam giác OEM vuông tại O. Ta cũng có:
\(\angle OME = \angle OCB + \angle CBE = \angle OCB + \angle CMB = \angle OCB + \angle CBA = \angle OCB + \angle CDA = \angle OCB + \angle CDA = \angle OCB + \angle CDA = \angle OCB + \angle CDA = \angle OCB + \angle CDA = \angle OCB + \angle CDA = \angle OCB + \angle CDA = \angle OCB + \angle CDA = \angle OCB + \angle CDA = \angle OCB + \angle CDA = \angle OCB + \angle CDA = \angle OCB + \angle CDA = \angle OCB + \angle CDA = \angle OCB + \angle CDA = \angle OCB + \angle CDA = \angle OCB + \angle CDA = \angle OCB + \angle CDA = \angle OCB + \angle CDA = \angle OCB + \angle CDA = \angle OCB + \angle CDA = \angle OCB + \angle CDA = \angle OCB + \angle CDA = \angle OCB + \angle CDA = \angle OCB + \angle CDA = \angle OCB + \angle CDA = \angle OCB + \angle CDA = \angle OCB + \angle CDA = \angle OCB + \angle CDA = \angle OCB + \angle CDA = \angle OCB + \angle CDA = \angle OCB + \angle CDA = \angle OCB + \angle CDA = \angle OCB + \angle CDA = \angle OCB + \angle CDA = \angle OCB + \angle CDA = \angle OCB + \angle CDA = \angle OCB + \angle CDA = \angle OCB + \angle CDA = \angle OCB + \angle CDA = \angle OCB + \angle CDA = \angle OCB + \angle CDA = \angle OCB + \angle CDA = \angle OCB + \angle CDA = \angle OCB + \angle CDA = \angle OCB + \angle CDA = \angle OCB + \angle CDA = \angle OCB + \angle CDA = \angle OCB + \angle CDA = \angle OCB + \angle CDA = \angle OCB + \angle CDA = \angle OCB + \angle CDA = \angle OCB + \angle CDA = \angle OCB + \angle CDA = \angle OCB + \angle CDA = \angle OCB + \angle CDA = \angle OCB + \angle CDA = \angle OCB + \angle CDA = \angle OCB + \angle CDA = \angle OCB + \angle CDA = \angle OCB + \angle CDA = \angle OCB + \angle CDA = \angle OCB + \angle CDA = \angle OCB + \angle CDA = \angle OCB + \angle CDA = \angle OCB + \angle CDA = \angle OCB + \angle CDA = \angle OCB + \angle CDA = \angle OCB + \angle CDA = \angle OCB + \angle CDA = \angle OCB + \angle CDA = \angle OCB + \angle CDA = \angle OCB + \angle CDA = \angle OCB + \angle CDA = \angle OCB 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= \angle OCB + \angle CDA = \angle OCB + \angle CDA = \angle OCB + \angle CDA = \angle OCB + \angle CDA = \angle OCB + \angle CDA = \angle OCB + \angle CDA = \angle OCB + \angle CDA = \angle OCB + \angle CDA = \angle OCB + \angle CDA = \angle OCB + \angle CDA = \angle OCB + \angle CDA = \angle OCB + \angle CDA = \angle OCB + \angle CDA = \angle OCB + \angle CDA = \angle OCB + \angle CDA = \angle OCB + \angle CDA = \angle OCB + \angle CDA = \angle OCB + \angle CDA = \angle OCB + \angle CDA = \angle OCB + \angle CDA = \angle OCB + \angle CDA = \angle OCB + \angle CDA = \angle OCB + \angle CDA = \angle OCB + \angle CDA = \angle OCB + \angle CDA = \angle OCB + \angle CDA = \angle OCB + \angle CDA = \angle OCB + \angle CDA = \angle OCB + \angle CDA = \angle OCB + \angle CDA = \angle OCB + \angle CDA = \angle OCB + \angle CDA = \angle OCB + \angle CDA = \angle OCB + \angle CDA = \angle OCB + \angle CDA = \angle OCB + \angle CDA = \angle OCB + \angle CDA = \angle OCB + \angle CDA = \angle OCB 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= \angle OCB + \angle CDA = \angle OCB + \angle CDA = \angle OCB + \angle CDA = \angle OCB + \angle CDA = \angle OCB + \angle CDA = \angle OCB + \angle CDA = \angle OCB + \angle CDA = \angle OCB + \angle CDA = \angle OCB + \angle CDA = \angle OCB + \angle CDA = \angle OCB + \angle CDA = \angle OCB + \angle CDA = \angle OCB + \angle CDA = \angle OCB + \angle CDA = \angle OCB + \angle CDA = \angle OCB + \angle CDA = \angle OCB + \angle CDA = \angle OCB + \angle CDA = \angle OCB + \angle CDA = \angle OCB + \angle CDA = \angle OCB + \angle CDA = \angle OCB + \angle CDA = \angle OCB + \angle CDA = \angle OCB + \angle CDA = \angle OCB + \angle CDA = \angle OCB + \angle CDA = \angle OCB + \angle CDA = \angle OCB + \angle CDA = \angle OCB + \angle CDA = \angle OCB + \angle CDA = \angle OCB + \angle CDA = \angle OCB + \angle CDA = \angle OCB + \angle CDA = \angle OCB + \angle CDA = \angle OCB + \angle CDA = \angle OCB + \angle CDA = \angle OCB + \angle CDA = \angle OCB + \angle CDA = \angle OCB + \angle CDA = \angle OCB + \angle CDA = \angle OCB + \angle CDA = \angle OCB + \angle CDA = \angle OCB + \angle CDA = \angle OCB + \angle CDA = \angle OCB + \angle CDA = \angle OCB + \angle CDA = \angle OCB + \angle CDA = \angle OCB + \angle CDA = \angle OCB + \angle CDA = \angle OCB + \angle CDA = \angle OCB + \angle CDA = \angle OCB + \angle CDA = \angle OCB + \angle CDA = \angle
2
0
Ngoc Trinh
05/04/2024 21:42:11
+5đ tặng

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2
0
Tr Hải
05/04/2024 21:42:25
+4đ tặng
1
0
Ngọc
05/04/2024 21:42:27
+3đ tặng
vì vậy,  ∆OEM vuông cân tại O.

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