北京 景山 学校 数学系
Advanced Geometry @ MATHEMATICS @ Junior 8  。2009-2010
jiguanglaoshi@gmail.com

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[3] December
[updated : 2009/12/20]
Date
 Activities / Objectives
  Images / Home Work
 Remarks / Images
 References / Linkis
Wednesday

Dec. 2

16:05 -16:45
  • Correction of exercises on assignment # 6
  • Applications  of the Multiplication of a Vector by a real number.
  • Exercises
    • construction of  a point M defined by :
      ama+bmb

Exercises
ama+bmb
 Many students had not prepared the pages 1 & 2 of this assignment # 5

prepare exercises
p.1 & 2
for Thursday Dec.3rd
 Assignment # 6
erratum : prove
 alignment of A, I, E and not D, I, E
See Assignment # 6B

Exercises
Thursday

Dec. 3

16:05 -16:45
  • Correction of exercises of Assgnt # 7 p.1 & 2 :
    construction of points de finided by a vectorial equation (barycenter def.)
  • Problems of alignment of points

  • Formal Properties of the multiplication of a vector by a real number.
    • Associativity
    • Distributivity
    • Product by 0
    • Product by 1

Barycenter of 2 points
(computer animation on Cabri-Geom.II+)
Bar_2pts
ama+bmb


Barycenter of 3 points
(computer animation on Cabri-Geom.II+)
bar
BARVECT
Prepare for a global test on this special geometry class
 Thursday Dec. 10 th
  • Properties of the circle :
    • inscribed angles
    • construction of tangents to
      • 1 circle
      • 2 circles
  • Euler's line theorem
  • Euler's circle theorem
  • Constructions of the golden Number :
    • rectangle
    • triangle
  • Vectors
    • construction of addition
    • construction of multiplication by a real number;
    • construction of a point given by a vectorial equation :
      • with 2 fixed points
      • with 3 fixed points
Assignment # 6B

Barycenter of 2 points
(computer animation on
Cabri-Geom. II+)


Barycenter of 3 points
(computer animation on
Cabri-Geom. II+)
Wednesday
Dec. 9
16:05 -16:45
Class cancelled
(Mid-Term English Exam)
Thursday
Dec. 10
16:05 -16:45   

Wednesday

Dec. 16

16:05 -16:45   
  • Return of Assignment # 6 (p.1 & p.2)
    • Addition & substraction of Vectors
    • Construction of points defined by a vectorial equation.
  • Correction of Assignment # 6b (p.3) ===>
    • Problems of alignment of points defined by vectorial equations.
  • Problem for Thursday : Euler's line to be proved by vectorial equations.
 Assignment # 6b
6b
A

Show that A,I,E are on the same line
Show that C,I,D are on the same line

 ANSWERS / Assignment #6b

Euler's line by Vectorial Equations
Thursday

Dec. 17

15:15 -15:55
16:05 -16:45
  • Answers to Euler's line Vectorial Solution :
Euler's Equ
  • Extra exercise on center of Gravity.
=================================

Final TEST
(Vectors)
Euler's line [O,G,H]
EU

Last Class
[under Video]

&

Final TEST
(Vectors)
ANSWERS / Euler's by Vectors

Final TEST

ANSWERS / Final TEST