Basic Definitions and Concepts — الرياضيات الصف الثالث الإعدادي لغات

درس «Basic Definitions and Concepts» فى مادة الرياضيات لـالصف الثالث الإعدادي لغات من وحدة «Geometry: The Circle». This lesson introduces the basic definitions and concepts related to circles. Students learn the formal definition of a circle as the set of all points in a plane at a constant distance from a fixed point (the center). The lesson covers radius, chord, diameter, and the surface of a circle (the circle plus its interior). Key properties are established: all radii are equal, the diameter is the largest chord (proved using the triangle inequality), and any line through the center is an axis of symmetry. Important corollaries are derived: a line from the center perpendicular to a...

الدرس ده من وحدة «Geometry: The Circle» فى مادة الرياضيات لـالصف الثالث الإعدادي لغات على منصة دروسات.

الدرس متاح بالاشتراك: ترم كامل أو المادة لوحدها.

ملخص الدرس

This lesson introduces the basic definitions and concepts related to circles. Students learn the formal definition of a circle as the set of all points in a plane at a constant distance from a fixed point (the center). The lesson covers radius, chord, diameter, and the surface of a circle (the circle plus its interior). Key properties are established: all radii are equal, the diameter is the largest chord (proved using the triangle inequality), and any line through the center is an axis of symmetry. Important corollaries are derived: a line from the center perpendicular to a chord bisects it, and the perpendicular bisector of a chord passes through the center. The lesson includes proofs that use these properties, such as showing that parallel chords have equal segments cut by a perpendicular from the center.

هتتعلم إيه فى الدرس ده

• Definition of a circle, center, and radius
• Sets of points relative to a circle (inside, on, outside)
• Surface of a circle
• Radius, chord, and diameter definitions
• Proof that the diameter is the largest chord
• Circle perimeter and area formulas
• Axis of symmetry in a circle
• Corollary: perpendicular from center to chord bisects it