Collocation form
25-minute area: 20 options
25-minute zone: 8+10 is empty.
20 minutes time zone: 16 channel selection
Descriptions and formulas before each math area (2 sheets)
Survey content
Including the contents of Algebra I, Algebra II and Geometry courses in the American education system (equivalent to most knowledge points in junior high schools and a small part in senior high schools in China), excluding most preparatory calculus courses (equivalent to mathematics in senior high schools in China) and deeper courses.
It is relatively simple for students who have received traditional mathematics education in China, but it may be challenging for candidates who lack basic reading ability.
In addition, SAT mathematics requires great care. When converting scores, the correct rate of mathematics in the high score interval remains unchanged, and the deduction points are far more than other parts, so it is not easy to get full marks.
other
Calculators are allowed, and some formulas are given at the beginning of each area.
Key points of knowledge
Parabola: y = ax? + bx + c
Ellipse: (1) perimeter formula: L=2πb+4(a-b)
Ellipse circumference's Theorem: The circumference of an ellipse is equal to the circumference (2πb) of an ellipse with the radius of the short semi-axis length plus four times the difference between the long semi-axis length (a) and the short semi-axis length (b) of an ellipse.
Area formula: S=πab
Ellipse area theorem: the area of an ellipse is equal to π times the product of the major semi-axis length (a) and the minor semi-axis length (b) of an ellipse.
Diamond area = half of diagonal product, that is, S=(a×b)÷2.
Triangle area:
(1) Given that the base of a triangle is a and the height is h, then S=ah/2.
(2) Given the three sides A, B, C and the half circumference P of a triangle, then S= √[p(p-a)(p-b)(p-c)] (Helen formula).
(3) Given two sides A and B of a triangle, the included angle between these two sides is C, then S=absinC/2.
(4) Given the semi-perimeter p of the triangle and the radius r of the inscribed circle, then S=pr.
Sector area: the sector area with a central angle of n and a radius of r is (n/360 )× π (r 2). If the vertex angle is radian, it can be simplified as 1/2× radian× radius squared. The sector is also similar to a triangle, and the simplified area formula above can also be regarded as: 1/2× arc length× radius, which is similar to the triangle area of "1/2× bottom× height".
Trapezoidal area: [(upper bottom+lower bottom) × height ]/2
Rectangular area: length × width
Trapezoidal volume: v = [s1+S2+√ (s1* S2)]/3 * h) (v: volume; S 1: upper surface area; S2: lower surface area; H: high)
Cylinder volume: V cylinder =S bottom × h.
Cuboid volume: V= length × width × height
Cubic volume: V= side length 3
Cone volume: V= 1/3×S bottom× h
Pythagorean Theorem: A? +b？ =c？ (A, B and C represent the lengths of hooks, strands and chords of a right triangle respectively), and its deformation is: B? =c？ -a？ =(c-a)(c+a)a？ =c？ -B? =(c-b)(c+b)； c？ =2ab+(b-a)？
Arithmetic progression: 1. General formula: an = a1+(n-1) d.
2. the first n terms and formulas: sn = na1+[n (n-1) d]/2 or Sn=[n(a 1+an)]/2.
Geometric series: 1. General formula: an = A 1 q (n- 1).
2. the first n terms and formulas: when q= 1, sn = na1; When q≠ 1, sn = [a1(1-q n)]/(1-q).
General form of one-dimensional linear equation: ax+b=0(a and B are constants, a≠0).
One-dimensional quadratic equation: 1. General form: ax 2+bx+c = 0 (a, b, c are constants, a≠0).
(Gray Saturday)