1.I ask him to study well.=I tell him to study well.
1.She asks me to go swimming with her.=She tells me to go swimming with her.
2.I help him (to) study well.
2.She often helps me (to) do housework.
3.I would like my mother to take a walk. =I want my mother to take a walk.
3.She would like me to study well.=She wants me to study well.