Math Advanced Placement Six Big Questions Question Types

The six big questions on the math college entrance exam are: trigonometry, probability, three-dimensional geometry, functions, series, and analytic geometry. Trigonometry, probability, three-dimensional geometry is relatively easy. Function, series, analytic geometry class often do the finale, relatively difficult.

I, trigonometric questions

Pay attention to the normalization formula, the correctness of the induction formula. Transformed into the same name and angle trigonometric functions, applying the normalization formula, induction formula (odd change, even change, the sign depends on the quadrant), it is easy because of carelessness, resulting in errors.

Second, the series problem

1, to prove that a series is an equivariant series, the last conclusion should be written to who is the first term, who is the tolerance of the equivariant series.

2, when proving inequality, sometimes constructing a function, using the monotonicity of the function is very simple (so have a sense of constructing a function).

Three, three-dimensional geometry problems

To find the angle formed by opposite sides of the line, line angle, dihedral angle, existence problems, height of geometric bodies, surface area, volume, etc., it is best to construct the system.

Four, conic curve problem

Note that the trajectory equation, from three kinds of curves (elliptic, hyperbolic, parabolic) think, elliptic test the most, the method of the direct method, the definition of the method, the method of intersecting the track, the parametric method, the method of coefficients to be determined.