Final answer:
The style of Shinto shrine based on the Ise prototype but with a canopy over the entrance stair is called Shinmei-zukuri.
Step-by-step explanation:
The style of Shinto shrine that is based on the Ise prototype but with the front slope of the roof extending to form a canopy over the entrance stair is called Shinmei-zukuri. The Ise prototype is a famous Shinto shrine in Japan, and the Shinmei-zukuri style is derived from it. This style is characterized by the front slope of the roof that extends to cover the entrance stair, creating a canopy-like structure.