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Senior one compulsory mathematics 2 all formulas.
Including:

-Coincidence of face and line

-dihedral angle and solid angle

-Square, cuboid, parallelepiped

-Tetrahedrons and other pyramids

prism

-octahedron, dodecahedron, icosahedron

-Cones, cylinders

Used as an emphasis in various derogatory words.

-Other quadric surfaces: ellipsoid of revolution, ellipsoid, paraboloid, hyperboloid.

Self-evident truth

There are four axioms in solid geometry.

Axiom 1 If two points on a straight line are on a plane, then the straight line is on this plane.

Axiom 2 passes through three points that are not on a straight line, and there is only one plane.

Axiom 3 If two non-coincident planes have a common point, then they have one and only one common straight line passing through the point.

Axiom 4 Two lines parallel to the same line are parallel.

Cubic figure

Solid geometry formula

Name symbol area s volume v

The side length of cube a is s = 6a 2 v = a 3.

Cuboid a- length s = 2 (ab+AC+BC) v = ABC.

B width

C height adjustment

Prism s- bottom area v = sh

up level

The bottom area of pyramid s v = sh/3.

up level

Prism S 1 and S2- upper and lower bottom areas v = h [s1+S2+√ (s12)/2]/3.

up level

Prismatoid S 1—— Upper and lower area v = h (s 1+S2+4s0)/6.

S2-bottom area

S0-middle cross-sectional area

up level

R- base radius of cylinder c = 2 π r v = s base h=∏rh.

up level

C—— perimeter of bottom surface

S bottom-bottom area s bottom = π r 2

S side-lateral area s side = ch.

S table-surface area s table = CH+2S bottom

S base = π r 2

Hollow cylinder R—— radius of external circle

R—— radius of inner circle

H- height v = π h (r 2-r 2)

R base radius of straight cone

H- height v = π r 2h/3

Cone r- upper bottom radius

R- bottom radius

H-height v = π h (r 2+RR+r 2)/3.

Sphere r radius

D- diameter v = 4/3 π r 3 = π d 2/6.

Ball missing h- ball missing height

Sphere radius

A—— The radius of the ball's base is a2 = h (2r-h) v = π h (3a2+H2)/6 = π h2 (3r-h)/3.

Tables r 1 and R2-the radius of the table top and table top.

H- height v = π h [3 (r 12+R22)+H2]/6.

Circle radius

D—— ring diameter

R—— the section radius of the ring.

D—— the cross-sectional diameter of the ring v = 2π 2rr 2 = π 2dd 2/4.

Bucket D—— diameter of barrel belly

D—— diameter of barrel bottom

H—— bucket height v = π h (2d 2+D2)/ 12 (the bus is circular, and the center of the circle is the center of the bucket).

V = π h (2D 2+DD+3D 2/4)/ 15 (bus is parabolic)

Plane analytic geometry includes the following parts.

cartesian coordinates

1. 1 directed line segment

1.2 Cartesian coordinates of points on a straight line

Several Basic Formulas of 1.3

Rectangular coordinates of points on 1.4 plane

Basic principle of 1.5 projection

Several Basic Formulas of 1.6

Two curves and agenda

2. The definition of1curve directly solves the coordinate equation.

2.2 Find each curve and find its equation.

2.3 Known curve equation, describe the curve.

2.4 Intersection of curves

Three straight lines

3. 1 Angle and slope of straight line

3.2 linear equation

Y=kx+b

3.3 Directed distance from straight line to point

3.4 Plane Region Represented by Binary Linear Inequality

3.5 the relative position of two straight lines

3.6 Conditions for Binary Equation to Express Two Straight Lines

3.7 Relative position of three straight lines

3.8 Linear system

Siyuan

4. Definition of1circle

4.2 Equation of Circle

4.3 Relative position of point and circle

4.4 Tangent of a circle

4.5 Chords and Polar Lines of a Point on a Circle

4.6 *** axis circulation system

4.7 Inverse evolution on the plane

Five ellipses

5. Definition of1ellipse

5.2 An ellipse can be obtained by cutting a conical surface with a plane.

5.3 Standard Equation of Ellipse

5.4 Basic properties and related concepts of ellipse

5.5 Relative position of point and ellipse

5.6 Tangents and normals of ellipses

5.7 Points on the tangent and polar lines of an ellipse

5.8 area of ellipse

Six hyperbola

6. Definition of1hyperbola

6.2 A hyperbola can be obtained by cutting a conical surface with a plane.

6.3 standard equation of hyperbola

6.4 Basic properties and related concepts of hyperbola

6.5 equilateral hyperbola

6.6 *** Yoke Hyperbola

6.7 Relative position of point and hyperbola

6.8 Tangents and normals of hyperbola

6.9 the tangent of hyperbola and the point on the polar line

Seven parabolas

7. Definition of1parabola

7.2 A parabola can be obtained by cutting a conical surface with a plane.

7.3 standard equation of parabola

7.4 Basic properties and related concepts of parabola

7.5 Relative position of point and parabola

7.6 Tangents and normals of parabolas

7.7 Points on the tangent line and polar line of parabola

7.8 Area of Parabolic Arch

Eight-coordinate transformation and the general theory of quadratic curve

8. The concept of1coordinate transformation

8.2 Translation of Axis

8.3 Simplify the curve equation by translation

8.4 Standard Equation of More General Conic Curve

8.5 Rotation of coordinate axis

8.6 General formula of coordinate transformation

8.7 Classification of curves

8.8 Invariants of Quadratic Curve under Cartesian Coordinate Transformation

8.9 curve of binary quadratic equation

8. Simplification of10 quadratic equation

8. 1 1 Conditions for Determining Quadratic Curve

8. 12 conic system

Nine-parameter equation

Ten polar coordinates

Eleven oblique coordinates