Analysis of the 2022 National New High Examination Paper-Liberal Arts Mathematics Examination Questions and Answers
The first volume of the national new college entrance examination in 2022 has not yet been released. After the college entrance examination, I will update the 2022 national new high test paper I liberal arts mathematics questions as soon as possible for everyone to compare, evaluate and simulate.
Required knowledge points of mathematics in college entrance examination
The standard equation of a circle (_-a)2+(y-b)2=r2 Note: (a, b) is the coordinate of the center of the circle.
General equation of circle _2+y2+D_+Ey+F=0 Note: D2+E2-4f >; 0
Parabolic standard equation y2 = 2p _ y2 =-2p _ 2 = 2py _ 2 =-2py.
Lateral area of a straight prism S=c_h lateral area of an oblique prism s = c' _ h.
Lateral area of a regular pyramid S = 1/2c _ h' lateral area of a regular prism S = 1/2(c+c')h'
The lateral area of the frustum of a cone S = 1/2(c+c')l = pi(R+R)l The surface area of the ball S=4pi_r2.
The sum of the first n terms of some series
1+2+3+4+5+6+7+8+9+…+n = n(n+ 1)/2 1+3+5+7+9+ 1 1+ 13+ 15+…+(2n- 1)= N2
2+4+6+8+ 10+ 12+ 14+…+(2n)= n(n+ 1) 12+22+32+42+52+62+72+82+…+N2 = n(n+ 1)(2n+ 1)/6
13+23+33+43+53+63+…n3 = N2(n+ 1)2/4 1 _ 2+2 _ 3+3 _ 4+4 _ 5+5 _ 6+6 _ 7+…+n(n+ 1)= n(n+ 1)(n+2)/3
Sine theorem a/sinA=b/sinB=c/sinC=2R Note: where r represents the radius of the circumscribed circle of a triangle.
Cosine Theorem b2=a2+c2-2accosB Note: Angle B is the included angle between side A and side C..
The standard equation of a circle (_-a)2+(y-b)2=r2 Note: (a, b) is the coordinate of the center of the circle.
General equation of circle _2+y2+D_+Ey+F=0 Note: D2+E2-4f >; 0
Parabolic standard equation y2 = 2p _ y2 =-2p _ 2 = 2py _ 2 =-2py.
Lateral area of a straight prism S=c_h lateral area of an oblique prism s = c' _ h.
Lateral area of a regular pyramid S = 1/2c _ h' lateral area of a regular prism S = 1/2(c+c')h'
The lateral area of the frustum of a cone S = 1/2(c+c')l = pi(R+R)l The surface area of the ball S=4pi_r2.
Lateral area of cylinder S=c_h=2pi_h lateral area s = 1/2 _ c _ l = pi _ r _ l of cone.
The arc length formula l=a_r a is the radian number r >； of the central angle; 0 sector area formula s= 1/2_l_r
Conical volume formula V= 1/3_S_H Conical volume formula V= 1/3_pi_r2h
Oblique prism volume V=S'L Note: where s' is the straight cross-sectional area and l is the side length.
Cylinder volume formula V=s_h cylinder V=pi_r2h
Tips for answering math questions in college entrance examination
1, slow trial, quick answer.
Some candidates only know how to make a quick decision, and often they are in a hurry to write when their questions are unclear. As a result, they go astray, that is, haste makes waste. If you mispronounce a word, you may regret it all your life, so you must be slow in reviewing the questions. With this "slow", you can form a complete and reasonable problem-solving strategy and have a "fast" answer.
2. Calculate accurately and be bold.
There is not enough time for you to check again and again in the college entrance examination, and you are not allowed to change the method of solving problems repeatedly. It is often by feeling that the topic is drawn and the method is chosen. At this time, in addition to making every step of your operation correct, you are also required to stick to your solution at that time. Maybe you didn't choose the best method, but if you come back, you will need more time. Of course, sticking to it doesn't mean sticking to the end. Once you find yourself in a dead end, you still have to get lost immediately.
3, easy first and then difficult, dare to give up.
It can enhance confidence, make thinking tend, and is extremely beneficial to the level of play; On the other hand, if you do difficult problems first, you may waste a lot of time. Even if you overcome the difficulties, you don't have time to get those easy grades. So it is also a wise choice to give up at the critical moment. Some problems are difficult to solve in the first question, so we can give up the first question first and solve the second and third questions directly with the conclusion of the first question.
4. Mature first and make rational use of time.
In the face of familiar topics, I naturally feel at ease. Doing it easily will make you feel good, and you can finish it in the shortest time, leaving more time to think about unfamiliar topics. Some topics spend a lot of time but don't get a few points, while others spend a little time but get high marks. So first spend time on those questions that are easy to ask or have high scores, and make the best use of time.
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