Cho tam giác ABC. Vẽ đường cao BD, CE. M,N là trung điểm của BC, DE. Chứng minh rằng MN vuông góc với DE
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Cho tam giác ABC. Vẽ đường cao BD, CE. M,N là trung điểm của BC, DE. Chứng minh rằng MN vuông góc với DE
cho tam giác abc. vẽ BD vuông góc với AC. CE vuông góc với AB. Gọi M là trung điểm của BC. N là trung điểm của DE. Chứng minh rằng MN vuông góc với DE
Cho tam giác ABC; 2 đường cao BD, CE. Gọi M,N lần lượt là trung điểm của BC, DE. Chứng minh MN vuông góc với DE
Cho tam giac ABC, hai đường cao BD;CE. Gọi M;N lần lượt là trung điểm của BC;DE. Chứng minh MN vuông góc DE
EM là trung tuyến thuộc cạnh huyền của tam giác vuông BEC nên EM=BC/2
DM là trung tuyến thuộc cạnh huyền của tam giác vuông BDC nên DM=BC/2
=> EM=DM nên tam giác EDM cân tại M, MN là đường trung tuyến nên cũng là đường cao của tam giác cân EDM suy ra MN vuông góc với DE.
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Cho tam giác ABC, các đường cao BD và CE. Gọi M,N là chân các đường vuông góc kẻ từ B,C đến DE. Gọi I là trung điểm của DE, K là trung điểm của BC. Chứng minh rằng :
A) KI vuông góc với DE
B) EM= DN
1. Cho tam giác ABC , hai đường cao BD, CE. Gọi M, N lần lượt là trung điểm của BC, DE. Chứng minh MN vuông góc với DE?2. Cho tam giác ABC có góc A 900. Trên nữa mặt phẳng bờ AB có chứa điểm C vẽ AD vuông góc với AB và ADAB, trên nữa mặt phẳng bờ AC có chứa điểm B vẽ AE vuông góc với AC và AEAC. Kẻ AH vông góc với ED (H thuộc ED). Chứng minh rằng đường thẳng Ah đi qua trung điểm M của cạnh BC.
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1. Cho tam giác ABC , hai đường cao BD, CE. Gọi M, N lần lượt là trung điểm của BC, DE. Chứng minh MN vuông góc với DE?
2. Cho tam giác ABC có góc A <900. Trên nữa mặt phẳng bờ AB có chứa điểm C vẽ AD vuông góc với AB và AD=AB, trên nữa mặt phẳng bờ AC có chứa điểm B vẽ AE vuông góc với AC và AE=AC. Kẻ AH vông góc với ED (H thuộc ED). Chứng minh rằng đường thẳng Ah đi qua trung điểm M của cạnh BC.
cho tam giác ABC nhọn, 2 đường cao BD và CE.Gọi M;N lần lượt là trung điểm của BC và DE .Chứng minh MN vuông góc với DE
Cho tam giác ABC nhọn có hai đường cao BD và CE. Gọi M, N là trung điểm của BD và CE. Chứng minh rằng:
1)DM = ½ BC
2)Tam giác DME cân
3)MN vuông vóc với DE
Help me
Nếu c/m được DM=1/2(BC) => BD=BC => vô lý vì trong tam giác vuông BCD có cạnh huyền BC = cạnh góc vuông BD à? => xem lại đề bài
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Tham khảo đề bài và bài làm tại link:
Câu hỏi của Lan nhi Duong nguyễn - Toán lớp 8 - Học toán với OnlineMath
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1. Cho tam giác ABC vuông ở A có AB<AC. AH vuông góc với BC tại H, D là điểm trên cạnh BC sao cho AD=AB. Vẽ DE vuông góc với BC tại E. Chứng mih rằng AH=HE.
2. Cho tam giác ABC vuông cân tại A.. Qua A vẽ đường thẳng d ở ngoài tam giác ABC . Vẽ BD vuông góc với d taị D. CE vuông góc với d tại E. M là trung điểm CB. Chứng minh rằng:
a) BD + CE = DE
b) Tam giác MDE là tam giác vuông cân
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