The mouse fell into the water tank, and the round swim in the water to ask for help The house cat me

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What is you asking, are you writing poetry?

This is simple, as long as the mouse swims to the opposite shore, when the mouse reaches the center of the circle, it will be able to walk 1 4 circles on the shore at the speed of the cat, and the mouse will change direction 90 degrees and go straight to the shore in the opposite direction of the cat. If the time for the cat to reach the place where the mouse goes ashore is t, and the time from the mouse entering the water to the shore is t, then the cat has traveled a total of 3 4 circles, and the mouse has walked a circle in diameter, and then the radius is r, respectively, and the equation is the cat (3 4)*, the mouse, 2r=vt,,, comparing the time size can show that t is less than t....Then the rats can escape.

The mouse must reach the center of the circle and swim in the opposite direction of the straight line with the cat to be able to escape (the cat is not stupid, it can change direction at any time), let r = 1 then the mouse swims from the center of the circle to the opposite side of the cat (in the opposite direction) r 4 (1 4), then the cat walks along the pool 1, the mouse suddenly changes direction, turns 90 degrees and swims 1 4, then the cat has to think, the mouse is likely to continue to run along the route to the shore, so should it continue to catch the mouse in the original direction or change the direction to catch it? Obviously, if the mouse continues to run along the route to the shore, the cat should turn the direction and take the shortest route, then the cat runs in the opposite direction 1, back to the starting point, at this time, the mouse turns 90 degrees in the original direction until it swims to the shore, and walks the distance l( 15 4-1 4, about equal to, the cat has walked 4l (, but the distance between the point where the mouse arrives and the point where it reaches at the beginning is that, then the cat wants to catch up with the mouse and has to go, so the mouse escapes!

There is no way to get away from the chase of cats.

It is impossible for the mouse to escape because it is less than 4, and the best route for this problem is for the mouse to run in the direction of the cat with its back to the center after reaching the center, and the mouse does not have to walk in a straight line.