Cung nhau chia se nhe cac ban. 🙂
Dinh lan mot thoi gian, nhung viec nay qua quan trong nen minh da tro lai. 😀 Day la cau truc de thi mon Toan nam 2008, nhung chi la ”du kien” thoi day! 😛
P.S: May em hoc sinh CHL vao day doc thi nho comment cho thay nha! Thuong cac em nhieu lam. 😀
That is following problem: Find all functions such that
It is famous! Why? Because, it is from AMM(problem 10908, posted by Wu Wei Chao) and it is one in problems from Bulgarian TST 2003, Vietnam TST 2004 and Iran TST 2007. However, in Vietnam TST 2004 it has form:
Please post carefully solutions of following problems:
1. Show that the only automorphism of is the identity.
Please post carefully solutions of the following ones:
1. Let be a field extension of . By defining scalar multiplication for and by , the multiplication in , show that is an vector space.
2. If is a field extention of , prove that iff .
Note: My English is so bad but don’t worry about that! 🙂
A sequence is called linear of order two if there are real numbers such that
In this topic we’ll use ideas in proofs of two following lemmas to solve some Olympiad problems.
Cac bai Toan hinh hoc, dac biet la hinh hoc phang la mot phan khong the thieu trong cac de thi Toan QG cua cac nuoc va IMO. Trong topic nay chung ta se trao doi ve cac bai Toan hinh hoc da xuat hien trong cac de thi HSG QG cua cac nuoc va IMO trong nam 2007.
Trong topic nay chung ta se xem bat dang thuc
co bao nhieu cach chung minh?