In 2022, the national new high examination paper was a math problem.
Analysis of the Answers to the Mathematics True Questions in the First Volume of the National New College Entrance Examination in 2022
Skills of preparing for college entrance examination mathematics sprint
For most candidates, it is often the basic questions and the questions with moderate difficulty that determine their success or failure, which account for about four-fifths of the whole paper. Therefore, when reviewing, candidates should first ensure the scores of basic questions and moderately difficult questions, and don't blindly pursue difficult questions. In solving problems, we should master some typical methods flexibly, especially general methods. The problem-solving skills are unusual and strange, so it doesn't take much time.
For the real questions of the college entrance examination in recent two years, we can imitate the examination time and requirements of the college entrance examination, feel the atmosphere of the college entrance examination, and train the time and state of the examination. At the same time, in the simulation process, we should also pay attention to the standardized training of answering questions, and try to avoid the influence of handwriting, scribbling and other factors on test scores.
Required knowledge points of mathematics in college entrance examination
The standard equation of a circle (x-a)2+(y-b)2=r2 Note: (A, B) is the center coordinate.
General equation of circle x2+y2+Dx+Ey+F=0 Note: D2+E2-4f > 0
Parabolic standard equation y2 = 2 pxy 2 =-2p _ 2 = 2 pxy 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 (x-a)2+(y-b)2=r2 Note: (A, B) is the center coordinate.
General equation of circle x2+y2+Dx+Ey+F=0 Note: D2+E2-4f > 0
Parabolic standard equation y2=2px y2=-2px x2=2py x2=-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
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