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The world is a sphere, so the shortest distance between two points on the 'globe' is a 'great circle'. If you have an actual physical globe, you can take a piece of string and stretch between Beijing and Chicago to see the path of the Great Circle, which indeed passes over Alaska.

Note that actual flights might not take an exact Great Circle path, due to weather (could try to take advantage of the Jet Stream, or could be flying around bad weather), and other factors (political comes to mind - like do they have permission to fly over a specific country).

If you don't have a physical globe handy, look at The Whole Globe website in the related link (below), for an interactive representation of a 3 dimensional globe.

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Q: Why does a flight going from Beijing china to Chicago Illinois fly over Alaska?
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