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Summary of Mathematics Knowledge Points in Senior 1:
Preliminary Stereo Geometry:
1. Structural characteristics of columns, cones, tables and balls.
1) Prism: Definition A geometry enclosed by two faces parallel to each other, the rest of the faces are quadrilateral, and the common edges of each of the two adjacent quadrilaterals are parallel to each other. Classification:
Based on the number of sides of the bottom polygon as the classification standard, it is divided into triangular prisms, quadrangular prisms, pentagonal prisms, etc.
Representation: Use vertex letters, such as pentagonal prisms or diagonal end letters, such as pentagonal prisms, geometric features: the two bottom surfaces are congruent polygonal sides with parallel sides, and the diagonal faces are parallelograms; The lateral edges are parallel and equal; A section parallel to the base is a polygon congruent to the base.
2) Cylinder: Definition: The geometry formed by the surface of the curved surface formed by the rotation of the straight line where one side of the rectangle is rotated as the axis, and the rotation of the other three sides.
Geometric features: The base is a congruent circle; The busbar is parallel to the shaft; The axis is perpendicular to the radius of the base circle; The side view is a rectangle.
3) Sphere: Definition: A geometry formed by rotating the surface of the semicircle by rotating the face of the semicircle with the straight line where the diameter of the semicircle is located as the axis of rotation. Geometric features: The cross-section of the ball is a circle; The distance from any point on the sphere to the center of the sphere is equal to the radius.
2. Three views of the space geometry.
Define three views: the front view (where rays are projected from the front of the geometry to the back); Side view (left to right), top view (top down).
The front view reflects the position relationship between the top and bottom and left and right of the object, that is, the height and length of the object; The top view reflects the position relationship between the left and right, front and back of the object, that is, the length and width of the object; The side view reflects the position of the object up and down, front and back, that is, the height and width of the object.
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Exams... It can't be useful.
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Fundamentals of High School Mathematics (Math Peter Pan).
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High school mathematics is mainly divided into functions and equations, solid geometry, analytic geometry, number series, statistics and probability.
Functions include an introduction to 9 basic elementary functions, the properties and applications of functions, and very little basic knowledge of higher numbers (derivatives and definite integrals). These are the main points of the exam!!
Solid geometry includes a variety of perpendicular and parallel problems (line perpendicular (parallel), line and plane perpendicular (parallel), plane perpendicular (parallel)), finding the angle of space (common geometry and coordinate method), and finding the volume or surface area of the geometry. The questions in this part of the exam are relatively fixed, and the solutions are also relatively fixed.
Analytic geometry includes straight lines, circles, quadratic curves (ellipses, hyperbolas, parabolas). There are many types of questions in this type, but the solution method is relatively fixed (generally the equation is set first, then the simultaneous equation, and the parameters are solved by other conditions (often using Veda's theorem). Finally, the answer is solved.
The questions of the number series are quite flexible, and the general terms and sums are often tested, and they are often linked to the functions. Therefore, this kind of question will generally be the finale.
Statistics and probability are relatively easy questions. Moreover, the question types and solutions are very fixed, and the general tutorial books are more detailed.
These are my summaries, I hope it helps you!!
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You add 51573108 Yongshan College Entrance Examination Mathematics***, there are some shared files in it!
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