Some q-congruences arising from certain identities

In this paper, by constructing some new q-identities, we prove q-congruences. For example, for any odd integer $$n>1$$ , show that $$\begin{aligned} \sum _{k=0}^{n-1}\frac{(q^{-1};q^2)_k}{(q;q)_k}q^k\equiv & {} (-1)^{(n+1)/2}q^{(n^2-1)/4}-(1+q)[n]\pmod {\Phi _n(q)^2},\\ _{k=0}^{n-1}\frac{(q^3;q^2)_k}{(q;q)_k}q^k\equiv (-1)^{(n+1)/2}q^{(n^2-9)/4}+\frac{1+q}{q^2}[n]\pmod _n(q)^2}, \end{aligned}$$ where the q-Pochhammer symbol is defined $$(x;q)_0=1$$ and $$(x;q)_k=(1-x)(1-xq)\cdots (1-xq^{k-1})$$ $$k\ge 1$$ q-integer $$[n]=1+q+\cdots +q^{n-1}$$ $$\Phi _n(q)$$ n-th cyclotomic polynomial. The q-congruences above confirm recent conjectures of Gu Guo.