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What's the difference between function and analytic geometry?
Function is to study the change of function within the meaningful range of this function.

Analytic geometry generally combines numbers and shapes in the first quadrant to study geometry (vector research geometry is similar to traditional mathematics). In some respects, it is better and simpler to study a few by mathematical methods than traditional geometry, but sometimes the amount of calculation is particularly large. Analytical geometry in the college entrance examination tests the calculation ability rather than the problem-solving ability to a great extent.