1.已知数列{an}\{a_{n}\}{an}满足an+1=1+an1−an{a_{n+1}}=\frac{1+{a_n}}{1-{a_n}}an+1=1−an1+an,且a1=13{a_1}=\frac{1}{3}a1=31,则{an}\{a_{n}\}{an}的前2022项之积为((( )))