由正弦定理有:a/sinA=b/sinB==> 2√3/(1/2)=k/sinB==> k=4√3sinB已知A+B+C=π,A=π/6所以,0<B<5π/6所以,sinB∈(0,1]那么,4√3sinB∈(0,4√3]①当k∈(0,4√3)时,有两解②当k=4√3时,有一解③当k>4√3时,无解