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• 11.函数，方程和不等式的转换不熟练

二次函数令y为0→方程→看题目要求是什么→要么方程大于小于0，要么△=b的平方-4ac大于等于小于0种种。还有二次项系数能不能为零，要看情况具体讨论。

12.幂指对函数混淆

比较大小时，对指数函数，对数函数，和幂函数的性质记忆模糊导致失误。

13.忽略对数函数单调性的限制导致失误

不要忘记讨论a>1，0

14.函数零点定理使用不当致误

f(a)xf(b)<0，则区间ab上存在零点。

15.忽略幂函数的定义域而致错

x的二分之一次方定义域为0到正无穷。

16.错误理解导数的定义致误

17.导数与极值关系不清致误

f‘派x为0解出的根不一定是极值这个要注意。

18.导数与单调性关系不清致误

19.误把定点作为切点致误

注意题目给的是过点p的切线还是在点p的切线，再不行就把点代进去f(x)看点p是不是切点。

20.计算定积分忽视细节致误

21.定积分几何意义不明致误

22.忽视角的范围

注意区分倾斜角、向量夹角、直线夹角、直线到角、异面直线所成角、二面角的范围。

11. Conversion of functions, equations and inequalities is not skilled

The quadratic function makes y 0 equation see what the title requires Either the equation is greater than or less than 0, or the square-4ac of = B is greater than or equal to less than 0. Whether the coefficient of the quadratic term can be zero or not depends on the specific situation.

12. Power-exponential pair function confusion

When comparing the size, the memory of the properties of exponential function, logarithmic function and power function is blurred, which leads to errors.

13. Ignoring the limitation of monotonicity of logarithmic functions leads to errors

Don't forget to discuss a > 1, 0

14. Misuse of Function Zero Theorem

If f (a) XF (b) < 0, then there is a zero point on interval a B.

15. Mistakes caused by ignoring the domain of definition of power function

The half-power domain of X is 0 to positive infinity.

16. Misunderstanding of Derivative Definition

17. Uncertain relationship between derivative and extremum

It is important to note that the root of the solution of f'pie x for 0 is not necessarily an extreme value.

18. Uncertain relationship between derivative and monotonicity

19. Mistaking a fixed point as a cut-off point causes errors

Note that the title gives the tangent of the crossing point P or the tangent of the point P. If not, substitute the point in F (x) to see whether the point P is the tangent point.

20. Mistakes caused by neglecting details in calculating definite integrals

21. The Geometric Meaning of Definite Integral is Uncertain

22. Scope of neglect angle

Attention should be paid to distinguishing the range of inclination angle, vector angle, straight line angle, straight line to angle, different plane straight line angle and dihedral angle. 