To learn the sequence; Geometry (including straight lines, circles, curves and solid geometry) is generally a big question in this part of the college entrance examination, so it is very important to study hard and remember some theorems on the basis of understanding; Permutation and combination; Limit; Statistics, etc. These are all important parts, I hope you study hard and come on!
What are the contents of senior two mathematics?
A, straight lines and circles:
1, the inclination range of the straight line is
In the plane rectangular coordinate system, for a straight line intersecting the axis, if it is summed by the axis around the intersection point, it is called the inclination angle of the straight line. When the straight line is coincident with or parallel to the axis, specify a slope with an inclination of 0.
If the inclination of the straight line is α, α ≠ 90, then the slope k=tanα.
,,①‖,; ②.
The relationship between straight lines:
(1) Parallel A 1/A2=B 1/B2 Attention test (2) Vertical A 1A2+B 1B2=0.
5. Distance formula from point to straight line;
The distance between two parallel lines and is
6. Standard equation of circle: .2 General equation of circle:
Note that the standard equation can be transformed into a general equation.
7. A circle must have two tangents outside the circle. If only one tangent is found, the other tangent is a straight line perpendicular to the axis.
8. The positional relationship between a straight line and a circle is usually transformed into the relationship between the center distance and the radius, or a right triangle is constructed by using the vertical diameter theorem to solve the chord length problem. ① Separation ② Tangency ③ Intersection.
9. When solving the relationship between a straight line and a circle, we should give full play to the plane geometric properties of the circle (such as radius, half chord length and chord center distance to form a right triangle), and the chord length obtained by the intersection of a straight line and a circle.
Second, the conic curve equation:
1, ellipse (a >；; B>0) Note that there is another one; ② definition: | pf1|+pf2 | = 2a > 2c; ③ e=
④ The length of major axis is 2a, the length of minor axis is 2b, and the focal length is 2c; a2 = B2+C2；
2. Hyperbola: ① Equation (a, b >；; 0) Note that there is another one; ② definition: || pf 1 |-| pf2 || = 2a
③e =； ④ Real axis length 2a, imaginary axis length 2b and focal length 2c; Asymptote or c2=a2+b2
3. Parabola: ① Equation y2=2px Note that there are three more, which can distinguish the opening direction; ② definition: |PF|=d focus f (0), directrix x =-; ③ focal radius; Focus chord = x1+x2+p;
4. The chord length formula of conic section line:
5. Pay attention to the combination of analytic geometry and vector: 1, (1); (2).
2. Definition of the product of quantities: given two non-zero vectors A and B, the included angle is θ, then the quantity |a||b|cosθ is called the product of the quantities of A and B, and is denoted as A B.
3. Calculation of modulus: |a|=. To calculate the modulus, you can first calculate the square of the vector.
4. The complete square formula is also suitable for vector operations, such as
Three, straight line, plane, simple geometry:
1, learning three views analysis:
2. Pay attention to the oblique drawing method: (1) Take the mutually perpendicular axes Ox and Oy in the known graph. When drawing a vertical view, draw it as the corresponding axis.
O'x', o'y', so that x' o' y' = 45 (or 135
(2) The length of the line segment parallel to the X axis is unchanged, and the length of the line segment parallel to the Y axis is halved. (3) The original 45-degree map is 90 degrees under direct vision, and the original 90-degree map under direct vision shall not be 90 degrees. ③ body
Product: V=S bottom h
⑵ Cone: ① Surface area: S=S side +S bottom; ② Lateral area: S side =; ③ volume: V=S bottom h:
(3) Platform surface area ①: S=S side +S upper bottom S lower bottom ② side area: S side =
⑷ Sphere: ① Surface area: s =；; ② Volume: V=
4. Proof of positional relationship (main method): straight lines are parallel to the plane: ① parallel lines are parallel to the plane; (2) Parallel lines are parallel to each other. Plane parallel plane: ① plane parallel. Line, surface, surface. Find the included angle between the straight line and the plane: (Step
-I found or made an angle; Angle Ⅱ)
(1) Solution of included angle formed by straight lines on different planes: translation method: translating straight lines to construct triangles; (2) Angle between straight line and plane:
① k = f/(x0) represents the tangent slope of P(x0, f(x0)) on the curve y=f(x). V = s/(t) represents the instantaneous speed. A=v/(t) stands for acceleration.
3. Derivative formulas of commonly used functions: ①; ②; ③;
⑤; ⑥; ⑦; ⑧ 。
4. Four algorithms of derivative:
5. The application of derivative:
(1) Using derivative to judge monotonicity of function: Let the function be derivable in a certain interval, and if it is, it is increasing function; If it is, then it is a decreasing function;
Note: If you know the letter of the subtraction function to find, ......
What do you want to learn in senior two mathematics?
In the process of learning, we must: listen more (attend lectures), be diligent (remember important questions, concepts and formulas), read more (read books), do more (do homework), ask more questions (ask questions if you don't understand), do more experiments, review more and summarize more. Concentrate by taking class notes.
We should arrange a simple and feasible plan to improve our learning methods. At the same time, we should properly participate in school activities and develop in an all-round way.
At other times, we should ensure the study time and the quality of all subjects.
Get enough sleep (8 hours) every day to ensure learning efficiency.
Arrange appropriate free time to communicate with family and friends.
Through unremitting efforts, the results will be improved and stabilized step by step. Try your best in the exam, be careful in the exam, and be calm in the final sprint. After the exam, you should sum up carefully so that you can study better in the future.
Now: let go of the burden, usually: study hard. Before the exam: prepare carefully. During the exam: don't give up. After the exam: be normal. Remember!
Success always comes from unremitting efforts, and success always belongs to diligent people. I wish you success!
What books do you study in mathematics in senior two? ...
That's true.
Compulsory course 1-5 should be finished in senior one.
Science students in senior two should choose 2- 1, 2-2 and 2-3, 4- 1 and 4-4.
Among them, the elective 2 series are mainly function, statistics and probability, logic, conic curve, space vector and geometry, derivative, reasoning and proof, number system expansion and complex number, and counting principle.
Elective series 4 focuses on special topics, such as coordinate system and polar coordinates, geometric proof selection, etc. Several of the other four series belong to the category of elective courses, such as selected lectures on inequality, sequence and difference.
By the way, hippo, have you come back from a year abroad? Then you are equal to the next college entrance examination, please.
What is the main content of senior two mathematics?
Compulsory parts: * * *, function, basic elementary function, preliminary solid geometry, space vector and solid geometry, preliminary algorithm, common logical terms, preliminary plane geometry, conic curve, trigonometric function, plane vector, trigonometric solution, sequence, inequality, reasoning and proof, derivative and its application, complex number, counting principle, probability, random variable and its distribution, mathematical modeling,
Elective parts: geometric proof and lecture, matrix and transformation, coordinate system and parameter equation, inequality lecture.
Compulsory examination, optional examination. If you don't understand, you can ask online.
How to learn math in science in senior two?
Mathematics is actually not difficult. My full marks from the second year of high school are generally above 120. Remember to take notes. Notes will certainly play a very important role before a large-scale exam. I never took notes in high school, but I have realized the importance of taking notes since I came to high school. The textbook is really empty, and there is nothing. Now I cherish my notes very much. Listen carefully in class, remember the topics and methods of the teacher's supplementary exercises, learn to summarize and pay attention to correcting mistakes. Error correction is also important. Many topics were understood at that time, but they may not be remembered after a while, so read them often. As far as I am concerned, mathematics is actually very interesting. Isn't the ingenious method of some topics quite enjoyable and amazing? If we can guarantee these two points, it won't be too bad. Come on! Hehe, I'm going to be a senior three. I believe I'll be more glad that I've done all my notes in the future.
What will the math education edition of senior two learn?
In the second year of senior high school, I have to learn trigonometric functions and images, plane vectors, trigonometric identity transformation, algorithms, statistics, common logical terms of probability additional courses, conic curves and equations, reciprocal and its application, block diagram, reasoning and proof, etc.
What does Jiangsu Senior Two study in mathematics?
Optional course of vision 2- 1 2-2 2-3. Learn calculus, ellipse, probability binomial. There are still required courses to be completed. It seems that I have to learn the counting principle. I can't remember clearly. As for the elective part, I contacted you to buy an additional math problem for the college entrance examination. It's a book with a kraft paper cover. It's awesome. I graduated and threw away a lot of things. If it is summer vacation, review what you have learned before, because you have learned at least 120 points in mathematics with 200 points.
It's not particularly important that you didn't complete the required courses. If you must study the scheme, I suggest you buy a fuss and an all-around version. Although there are several, the topic is better than the whole. The topics are also separate, and there are also comprehensive trainings. The key is to answer in detail.