Qian Xuesen was born in Hangzhou, Zhejiang Province on December 11,1911. After his graduation from Shanghai Jiao Tong University in 1934, he ____(旅行) across the Pacific Ocean to the United States for further study. There he received his degrees. After he graduated, he became a teacher as well as a researcher. He worked ____(努力地) and became a famous scientist.

    He ____(返回) to China in 1955. He played an important role in science in China. He was honored as “The Father of China's Missiles(导弹)”. He is the  ____(骄傲) of the Chinese people. He died on ____(十月) 31, 2009 at the age of 98, but he is a man who ____ (仍然)encourages Chinese young people. His love to his country was expressed in his saying, “My career(事业), my ____(成功) is in China and my destination is in China!” When someone said he could make much more money if he stayed in ____ (美国), he laughed and said, “My family name is Qian, but I don't like qian.”

如图，已知反比例函数$y_1=\frac{k_1}{x}$（k₁＜0）与一次函数y₂=k₂x+1（k₂≠0）相交于A、B两点，AC⊥x轴于点C，若△OAC的面积为1，且tan∠AOC=2．

（1）求反比例函数与一次函数的表达式；

（2）请直接写出B点的坐标，并指出当x为何值时，反比例函数y₁的值小于一次函数y₂的值．