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MindMap Gallery Figures and Geometry
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Figures and Geometry
The fourth stage of schooling includes graphics and geometry, properties of graphics, mastering point, line and surface angles, intersecting lines and parallel lines, triangles, quadrilaterals, circles, definitions, propositions, and theorems.
Edited at 2023-10-23 21:50:27- bacteria
This is a mind map about bacteria, and its main contents include: overview, morphology, types, structure, reproduction, distribution, application, and expansion. The summary is comprehensive and meticulous, suitable as review materials.
- Plant asexual reproduction
This is a mind map about plant asexual reproduction, and its main contents include: concept, spore reproduction, vegetative reproduction, tissue culture, and buds. The summary is comprehensive and meticulous, suitable as review materials.
- Reproductive development of animals
This is a mind map about the reproductive development of animals, and its main contents include: insects, frogs, birds, sexual reproduction, and asexual reproduction. The summary is comprehensive and meticulous, suitable as review materials.
Figures and Geometry
- bacteria
This is a mind map about bacteria, and its main contents include: overview, morphology, types, structure, reproduction, distribution, application, and expansion. The summary is comprehensive and meticulous, suitable as review materials.
- Plant asexual reproduction
This is a mind map about plant asexual reproduction, and its main contents include: concept, spore reproduction, vegetative reproduction, tissue culture, and buds. The summary is comprehensive and meticulous, suitable as review materials.
- Reproductive development of animals
This is a mind map about the reproductive development of animals, and its main contents include: insects, frogs, birds, sexual reproduction, and asexual reproduction. The summary is comprehensive and meticulous, suitable as review materials.
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Figures and Geometry
nature of graphics
point line angle
Understand concepts through real objects and models JOR1
Compare the length of line segments and understand their meaning JOR2
Master two basic facts JOR3
Understand the meaning of the distance between two points and the concept of angle JOR2
Use rulers and compasses to make drawings and understand JOR3
Intersecting lines and parallel lines
Understand the concepts of various angles and vertical lines, explore and master their properties JOR2
Rule and compass drawing, hands-on practice JOR3
Master the basic facts JOR3
Understand the meaning of point-to-line distance JOR2
Identify the characteristics of various types of angles JOR1
Understand the concept of parallel lines JOR2
Master the basic facts about parallel lines I, ll JOR3
Explore and prove the judgment property of parallel lines I, ll JOR4
Use set square and ruler for ruler and compass drawing JOR3
Understanding that two lines parallel to the same line are parallel JOR1
triangle
Understand concepts such as triangles JOR2 Understanding the stability of triangles.JOR1
Explore the triangle interior angle sum theorem.JOP4 Prove the triangle angle sum theorem.JOR4
Prove the properties of triangles. JoR4
Understand the concept of complete triangles.J0R2.
Understand the concept of angle bisectors. JOR2. Explore the property theorem of angle bisectors. JoP4 Prove the property theorem of angle bisectors J0R4
Understand the concept of perpendicular bisectors of line segments.JOR2. Explore the property theorem of perpendicular bisectors of line segments J0P4 Prove the property theorem of perpendicular bisectors of line segments.J0R4
The concept of isosceles triangle J0R2. Explore the property theorem of isosceles triangle. JOP4 Prove the property theorem of isosceles triangle. JoR4 Explore the determination theorem of isosceles triangle. J0P4 Master the determination theorem of isosceles triangle. JOR3
Explore the property theorems of equilateral triangles.J0P4 Explore the decision theorem of equilateral triangles. J0P4
Understand the concept of right triangle JOR2.
Exploring the property theorems of right triangles.J0P4 Master the property theorems of right triangles JOR3
Explore the Pythagorean Theorem and its converse.J0P4. Use the Pythagorean Theorem and its converse theorem to solve problems J0R4
Explore the theorem that determines the congruence of right-angled triangles J0P4. Master the theorem that determines the congruence of right-angled triangles.J0R3 Understand the concept of the center of gravity of a triangle.J0R1
Rule and compass drawing. JoR3
quadrilateral
Understand the concept of polygons JoR1 Explore the formulas for the sum and exterior angles of polygons J0P4 Master the formulas for the sum and exterior angles of polygons JOR3
Understand the concepts of parallelograms etc.JoR2 Understanding quadrilateral instability J0R1
Explore the properties of parallelograms J0P4 Prove the property theorem J0R4 of parallelograms Explore the determination theorem of parallelograms J0P4 Prove the decision theorem for parallelograms.J0R4
Understand the concept of distance between two parallel lines JOR2
Explore the property theorems of rectangles and rhombuses.J0P4 Prove the property theorem of rectangular rhombus.J0R4
Explore the determination theorem of rectangles and rhombuses J0P4 Prove the determination theorem of rectangles and rhombuses J0R4 Understand the inclusion relationship between rectangles, rhombuses, and squares JOR2
Exploring the Triangle Median Theorem .J0P4 Prove the triangle median theorem, J0R4
round
Concepts of circles, arcs, chords, central angles, and circumferential angles JOR2
The arc length of the circle and the area of the sector JOR2
Concepts of equal circles and equal arcs JOR1
Positional relationship between point and circle JOR3, J0P4
Vertical diameter theorem JOR4, JOP4
The circumferential angles subtended by the same arc (equal arc) are equal JOR1
The relationship between fillets, central angles and their arcs JOP4
Circumferential angle theorem and its corollary JOR1, JOP4
The incircle and circumcenter of a triangle JOR1
Positional relationship between straight line and circle JOR1
Ruler and compass drawing JOR4
The concept of tangent JOR3
Tangent length theorem JOR4, JOP4
The concept of regular polygon JOR1 The relationship between regular polygon and circle JOR1
definition, proposition, theorem
The meaning of definitions, propositions, theorems and inferences JOR1
Distinguish between conditions and conclusions of propositions JOR2
The concept of original proposition and its converse JOR1
Subtopic Identify two mutually inverse propositions JOR2
The significance and necessity of proof JOR1
The role of counterexamples JOR1
The meaning of proof by contradiction JOP2
Graphic changes
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Graphics and coordinates
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