cho n duong thang doi mot giao nhau va khong co giao diem nao thuoc 3 duong thang. biet rang so giao diem tao ra boi n duong thang gap 10 lan so duong thang. 1 bo ba diem A,B,C
goi la bo tot neu giua A va C chi co dung B trong cac giao diem cua n duong thang co it nhat bao nhieu bo totHãy nhập câu hỏi của bạn vào đây, nếu là tài khoản VIP, bạn sẽ được ưu tiên trả lời.
a)ta có: n.(n-1) :2 = 1128
=> n.(n-1)= 1128.2= 2256= 2^4.3.47= 48.47
vậy n = 48
b) n.(n-1) :2 = 2017
=> n.(n-1)= 2017.2= 4034=2.2017
vì 2017 là số nguyên tố nên 4034 không thể phân tích được thành tích của hai số tự nhiên liên tiếp
vậy số giao điểm của các đường thẳng đó không thể là 2017
a ) vì trong 4 đường thẳng không có 3 đường thẳng nào đồng quy nên 1 đường thẳng cắt 3 đường thẳng còn lại tạo thành 3 giao điểm
có 4 điểm nên có 4 x 3 = 12 giao điểm
vì số giao điểm được tinh 2 lần nên số giao điểm là 12: 2 = 6 giao điểm
b) tương tự với bài trên có{ n x (n-1) } : 2 giao điểm
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