Newton’s first law (i.e about inertia) is best shown in this example.
Explanation:
Newton's first law states that every object continues in its state either motion or rest until it is acted upon by any other external force.
As the student is in motion when he/ she hits the patch of ice. as no external force is applied, he/she continues the motion by sliding over the ice due to inertia.
Until the friction and other resistance force balances the motion he/she will not stop sliding.