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What are the common mistakes in high school mathematics that need attention?
Definition domain and value domain of 1. function: it is easy to ignore the limitation of definition domain, resulting in calculation errors.

2. The nature of inequality: It should be noted that when both sides of inequality are multiplied or divided by a negative number at the same time, the direction of inequality will change.

3. Symbols of trigonometric functions: We need to pay attention to the symbols and periodicity of sine, cosine, tangent and other functions in each quadrant.

4. Logarithmic operation: You need to pay attention to the range of logarithm base and real number, and the use of base-changing formula.

5. The concepts of derivative and integral: Understand that derivative represents the tangent slope of the function at a certain point, and integral represents the area under the curve.

6. Convergence of series: Pay attention to the convergence speed and conditions of series to avoid divergence.

7. Vector product: We need to pay attention to the difference between vector product and dot product and the application of cross product.

8. permutation and combination: pay attention to the calculation formula and application of permutation and combination to avoid repeated calculation.

9. Probability theory: we need to pay attention to the concepts of probability, conditional probability and independent events, as well as the application of total probability formula and Bayesian formula.

10. Analytic geometry: In analytic geometry, we need to pay attention to the properties and relationships of lines, circles, ellipses, hyperbolas, and the application of coordinate method.