I will give you a list of the knowledge points and key points of 2-2 knowledge points from the perspective of the college entrance examination.
From the actual situation in our province, the first chapter of this book is the focus.
Let's look at chapter three, complex numbers.
1 concept (that is, keep in mind)
Complex number, complex number set, real part and imaginary part P 103
Complex plane, real axis and imaginary axis P 104
Distinguish the module of vector from the module of complex number P 105.
* * * Complex number of yoke P 1 10
2. Calculation (the main test sites in the exam are often focused on the choice of fill-in-the-blank questions)
Four operations P 107- 1 10
The emphasis is on the real number of the denominator.
Look at chapter two.
1 concept
Inductive reasoning P7 1
Analogical reasoning P73
Deductive reasoning P78, syllogism is the key.
2 skills
Reduction to absurdity P89
Mathematical induction (complete induction) P93
Due to the college entrance examination policy of weakening skills and strengthening calculation, the requirements for skills inspection are decreasing. As long as you know these proof ideas or methods, if you get the third quiz on the penultimate big question, students who have spare capacity can try it. Ordinary students don't need to spend much time.
The focus of the first chapter accounts for more than 25% of the paper score every year.
major requirement
1 concept
P3 average change rate
Definition of instantaneous rate of change, derivative and derivative P5
Derivative function P9
2 calculation
Memorize the derivative formula of basic elementary function P 14.
Memory of derivative algorithm P 15
It is difficult to derive the compound function P 17. Please review the definition of compound function in compulsory 1.
3 application
Study on monotonicity of function P23 in bold type.
The extreme value of the function P29 in bold type is studied.
Study the function maximum P3 1 shown in bold.
Definite integral is not tested in our province. If you want to review, you can know its calculation method, which is the basic theorem of P47 P53 calculus.
These are the first requirements. Knowing and taking derivative is the key.
Intermediate requirement
Deformation P5① defined by derivative
Will analyze the original function image and derivative function image, pay special attention to the meaning of intersecting with the X axis, and correspond to each other.
Increase the complexity of compound function and exercise the accuracy of derivative. Derivation is the first step of calculation. If it is wrong, hehe ~ ~ ~
Focus on P32 exercise group B, the first big question. These four small questions are about how to construct a new function and judge the size with derivative knowledge.
This is the basic model of the second sub-topic of the finale, the monotonicity of the communication function and the comparison between the magnitude and the derivative. Generally, the last problem is to construct a function and judge monotonicity and specific size by derivative.
Advanced requirements
Linking physical knowledge with motion theorem
Learn to find the second derivative and study the properties of the first derivative, and then study the properties of the original function. The last small question, which belongs to the finale, is often combined with the construction, deformation and scaling of functions.
Pay attention to details, such as ∪ cannot be used between two monotone decreasing intervals of y =1/x.
Finally, this is a test. Being well informed is perfect. I've been doing it for a semester. Come on (⊙ o ⊙)