不应该用with,应该用in
be strict in 加事物,表示：对…要求严格
如：
We should be strict in (doing) our work.
对工作我们应该严格要求.
We must be strict in our work.
我们在工作中必须严格.
be strict with 后加人,表示：对某人严格要求.
如；
His father is strict with him
他父亲对他严格要求.
Coaches should be strict with athletes.
教练员对运动员应该严格.
But as a student,you have to be strict with yourself.
但是作为一名学生,你必须要严格要求自己.
这里面my English learning是事情,所以用in
参考资料：知道网友