Exercise 1:
It is up to you to make these constructions knowing that the barycenter is necessarily aligned with points A and B.
Exercise 7:
1. Describe the set of points M in the plane such that
Consider I barycenter of points (A,5) and (B,6)
so the set corresponds to the circle of center I and radius 2 .
2. Describe the set of points M in the plane such that
Consider I barycenter of points (A,-5) and (B,8)
so the set corresponds to the circle of center I and radius 4 .
3. Describe the set of points M in the plane such that
Consider I barycenter of points (A,5) and (B,-6) and J barycenter of points (A,7) and (B;-6)
Also:
so we are looking for the points M such that MI=MJ, the set is therefore the bisector of the segment [IJ].
Exercise 8:
Let R be an orthonormal reference frame of the plane .
1. Carry out the construction
2. We note the set of points M of the plane such that
.
.
Determine the equation of the set .
The equation of this set is therefore :
2. Show that it is a mediator.
Exercise 9:
The answers to the exercises on the barycenter in high school.
After having consulted the answers to these exercises on the barycenter in senior year, you can return to the exercises in senior year.
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