ĐỀ THI TOÁN APMO (CHÂU Á THÁI BÌNH DƯƠNG)_ĐỀ 8 pps
... is of the form τ i , where i is an integer (not necessarily positive). (Solution) We will prove this statement by induction using the equality τ 2 = τ + 1. If n = 1, then 1 = τ 0 . Suppose that ... is similar to the triangle SP X. Consequently, XS XP = MP MA = XP 2MA and XP P S = MA AP . From this and the above observation follows XS XP · P T P B = XP 2MA · P A P S = XP 2MA · MA XP = 1 2 . .....
Ngày tải lên: 05/08/2014, 10:22
ĐỀ THI TOÁN APMO (CHÂU Á THÁI BÌNH DƯƠNG)_ĐỀ 18 ppsx
... picked are matching? (A) 3 (B) 3 (C) 32 (D) 33 (E) 34 25. The coefficient of 2 x in ( )(2)(3)(4)(5)(6) xxxxxx is (A) (B) 25 (C) 5 (D) 75 (E) 2 6. For integers a and , ... rupees each In how many ways can he spend his money on any given day? (A) 2 (B) 24 (C) 25 (D) 3 (E) 5 24. Each student who takes part in the SLM 27 competition is given a five d...
Ngày tải lên: 05/08/2014, 10:22