draw on
To use something you already have to help you.
To draw on something means to use it as a resource or source of help. When you draw on your memory to answer a question, you're reaching into what you already know. When a writer draws on her childhood experiences to create a story, she's pulling from those memories to make her writing more real and vivid.
Think of it like drawing water from a well: you're taking something that's already there and putting it to use. A scientist might draw on years of research to solve a new problem. A musician might draw on different styles of music she's studied to create something original. A teacher might draw on years of experience helping students learn.
The phrase can also mean to continue and gradually move forward, especially in time. As winter draws on, the days get shorter and colder. As the school year draws on, students start thinking about summer vacation.
You might draw on your courage to try something scary, draw on your patience when something takes longer than expected, or draw on your imagination to solve a creative problem. The key idea is using something you already have, whether it's knowledge, experience, or inner strength, to help you in the present moment.