Transformations - 3e

Homothéties

Exercice 1 : Placer le centre d'une homothétie (rapport pouvant être négatif)

Placer le point \(O\) pour que le triangle \(A'B'C'\) soit l'image du triangle \(ABC\) par l'homothétie de centre \(O\) et de rapport \( -4 \).

{"init": {"range": [[0, 20], [0, 20]], "scale": [30, 30]}, "line": [[[0.0, 0.0], [20.0, 0.0], {"subtype": "segment", "stroke": "#ccc"}], [[0.0, 1.0], [20.0, 1.0], {"subtype": "segment", "stroke": "#ccc"}], [[0.0, 2.0], [20.0, 2.0], {"subtype": "segment", "stroke": "#ccc"}], [[0.0, 3.0], [20.0, 3.0], {"subtype": "segment", "stroke": "#ccc"}], [[0.0, 4.0], [20.0, 4.0], {"subtype": "segment", "stroke": "#ccc"}], [[0.0, 5.0], [20.0, 5.0], {"subtype": "segment", "stroke": "#ccc"}], [[0.0, 6.0], [20.0, 6.0], {"subtype": "segment", "stroke": "#ccc"}], [[0.0, 7.0], [20.0, 7.0], {"subtype": "segment", "stroke": "#ccc"}], [[0.0, 8.0], [20.0, 8.0], {"subtype": "segment", "stroke": "#ccc"}], [[0.0, 9.0], [20.0, 9.0], {"subtype": "segment", "stroke": "#ccc"}], [[0.0, 10.0], [20.0, 10.0], {"subtype": "segment", "stroke": "#ccc"}], [[0.0, 11.0], [20.0, 11.0], {"subtype": "segment", "stroke": "#ccc"}], [[0.0, 12.0], [20.0, 12.0], {"subtype": "segment", "stroke": "#ccc"}], [[0.0, 13.0], [20.0, 13.0], {"subtype": "segment", "stroke": "#ccc"}], [[0.0, 14.0], [20.0, 14.0], {"subtype": "segment", "stroke": "#ccc"}], [[0.0, 15.0], [20.0, 15.0], {"subtype": "segment", "stroke": "#ccc"}], [[0.0, 16.0], [20.0, 16.0], {"subtype": "segment", "stroke": "#ccc"}], [[0.0, 17.0], [20.0, 17.0], {"subtype": "segment", "stroke": "#ccc"}], [[0.0, 18.0], [20.0, 18.0], {"subtype": "segment", "stroke": "#ccc"}], [[0.0, 19.0], [20.0, 19.0], {"subtype": "segment", "stroke": "#ccc"}], [[0.0, 20.0], [20.0, 20.0], {"subtype": "segment", "stroke": "#ccc"}], [[0.0, 0.0], [0.0, 20.0], {"subtype": "segment", "stroke": "#ccc"}], [[1.0, 0.0], [1.0, 20.0], {"subtype": "segment", "stroke": "#ccc"}], [[2.0, 0.0], [2.0, 20.0], {"subtype": "segment", "stroke": "#ccc"}], [[3.0, 0.0], [3.0, 20.0], {"subtype": "segment", "stroke": "#ccc"}], [[4.0, 0.0], [4.0, 20.0], {"subtype": "segment", "stroke": "#ccc"}], [[5.0, 0.0], [5.0, 20.0], {"subtype": "segment", "stroke": "#ccc"}], [[6.0, 0.0], [6.0, 20.0], {"subtype": "segment", "stroke": "#ccc"}], [[7.0, 0.0], [7.0, 20.0], {"subtype": "segment", "stroke": "#ccc"}], [[8.0, 0.0], [8.0, 20.0], {"subtype": "segment", "stroke": "#ccc"}], [[9.0, 0.0], [9.0, 20.0], {"subtype": "segment", "stroke": "#ccc"}], [[10.0, 0.0], [10.0, 20.0], {"subtype": "segment", "stroke": "#ccc"}], [[11.0, 0.0], [11.0, 20.0], {"subtype": "segment", "stroke": "#ccc"}], [[12.0, 0.0], [12.0, 20.0], {"subtype": "segment", "stroke": "#ccc"}], [[13.0, 0.0], [13.0, 20.0], {"subtype": "segment", "stroke": "#ccc"}], [[14.0, 0.0], [14.0, 20.0], {"subtype": "segment", "stroke": "#ccc"}], [[15.0, 0.0], [15.0, 20.0], {"subtype": "segment", "stroke": "#ccc"}], [[16.0, 0.0], [16.0, 20.0], {"subtype": "segment", "stroke": "#ccc"}], [[17.0, 0.0], [17.0, 20.0], {"subtype": "segment", "stroke": "#ccc"}], [[18.0, 0.0], [18.0, 20.0], {"subtype": "segment", "stroke": "#ccc"}], [[19.0, 0.0], [19.0, 20.0], {"subtype": "segment", "stroke": "#ccc"}], [[20.0, 0.0], [20.0, 20.0], {"subtype": "segment", "stroke": "#ccc"}], [[0.0, 14.0], [4.0, 17.0], {"subtype": "segment"}], [[4.0, 17.0], [1.0, 16.0], {"subtype": "segment"}], [[0.0, 14.0], [1.0, 16.0], {"subtype": "segment"}], [[20.0, 14.0], [4.0, 2.0], {"subtype": "segment"}], [[4.0, 2.0], [16.0, 6.0], {"subtype": "segment"}], [[20.0, 14.0], [16.0, 6.0], {"subtype": "segment"}]], "circle": [[[0.0, 14.0], 0.2, {"fill": "black"}], [[4.0, 17.0], 0.2, {"fill": "black"}], [[1.0, 16.0], 0.2, {"fill": "black"}], [[20.0, 14.0], 0.2, {"fill": "black"}], [[4.0, 2.0], 0.2, {"fill": "black"}], [[16.0, 6.0], 0.2, {"fill": "black"}]], "label": [[[0.0, 14.0], "A", "below left", {}], [[4.0, 17.0], "B", "above right", {}], [[1.0, 16.0], "C", "above left", {}], [[20.0, 14.0], "A'", "above right", {}], [[4.0, 2.0], "B'", "below left", {}], [[16.0, 6.0], "C'", "below right", {}]], "drawing_options": {"tools": ["point"]}}

Exercice 2 : Tracer une homothétie (rapport strictement positif)

Tracer le triangle \(A'B'C'\) image du triangle \(ABC\) par l'homothétie de centre \(O\) et de rapport \( 3 \).

{"init": {"range": [[0, 20], [0, 20]], "scale": [30, 30]}, "line": [[[0.0, 0.0], [20.0, 0.0], {"subtype": "segment", "stroke": "#ccc"}], [[0.0, 1.0], [20.0, 1.0], {"subtype": "segment", "stroke": "#ccc"}], [[0.0, 2.0], [20.0, 2.0], {"subtype": "segment", "stroke": "#ccc"}], [[0.0, 3.0], [20.0, 3.0], {"subtype": "segment", "stroke": "#ccc"}], [[0.0, 4.0], [20.0, 4.0], {"subtype": "segment", "stroke": "#ccc"}], [[0.0, 5.0], [20.0, 5.0], {"subtype": "segment", "stroke": "#ccc"}], [[0.0, 6.0], [20.0, 6.0], {"subtype": "segment", "stroke": "#ccc"}], [[0.0, 7.0], [20.0, 7.0], {"subtype": "segment", "stroke": "#ccc"}], [[0.0, 8.0], [20.0, 8.0], {"subtype": "segment", "stroke": "#ccc"}], [[0.0, 9.0], [20.0, 9.0], {"subtype": "segment", "stroke": "#ccc"}], [[0.0, 10.0], [20.0, 10.0], {"subtype": "segment", "stroke": "#ccc"}], [[0.0, 11.0], [20.0, 11.0], {"subtype": "segment", "stroke": "#ccc"}], [[0.0, 12.0], [20.0, 12.0], {"subtype": "segment", "stroke": "#ccc"}], [[0.0, 13.0], [20.0, 13.0], {"subtype": "segment", "stroke": "#ccc"}], [[0.0, 14.0], [20.0, 14.0], {"subtype": "segment", "stroke": "#ccc"}], [[0.0, 15.0], [20.0, 15.0], {"subtype": "segment", "stroke": "#ccc"}], [[0.0, 16.0], [20.0, 16.0], {"subtype": "segment", "stroke": "#ccc"}], [[0.0, 17.0], [20.0, 17.0], {"subtype": "segment", "stroke": "#ccc"}], [[0.0, 18.0], [20.0, 18.0], {"subtype": "segment", "stroke": "#ccc"}], [[0.0, 19.0], [20.0, 19.0], {"subtype": "segment", "stroke": "#ccc"}], [[0.0, 20.0], [20.0, 20.0], {"subtype": "segment", "stroke": "#ccc"}], [[0.0, 0.0], [0.0, 20.0], {"subtype": "segment", "stroke": "#ccc"}], [[1.0, 0.0], [1.0, 20.0], {"subtype": "segment", "stroke": "#ccc"}], [[2.0, 0.0], [2.0, 20.0], {"subtype": "segment", "stroke": "#ccc"}], [[3.0, 0.0], [3.0, 20.0], {"subtype": "segment", "stroke": "#ccc"}], [[4.0, 0.0], [4.0, 20.0], {"subtype": "segment", "stroke": "#ccc"}], [[5.0, 0.0], [5.0, 20.0], {"subtype": "segment", "stroke": "#ccc"}], [[6.0, 0.0], [6.0, 20.0], {"subtype": "segment", "stroke": "#ccc"}], [[7.0, 0.0], [7.0, 20.0], {"subtype": "segment", "stroke": "#ccc"}], [[8.0, 0.0], [8.0, 20.0], {"subtype": "segment", "stroke": "#ccc"}], [[9.0, 0.0], [9.0, 20.0], {"subtype": "segment", "stroke": "#ccc"}], [[10.0, 0.0], [10.0, 20.0], {"subtype": "segment", "stroke": "#ccc"}], [[11.0, 0.0], [11.0, 20.0], {"subtype": "segment", "stroke": "#ccc"}], [[12.0, 0.0], [12.0, 20.0], {"subtype": "segment", "stroke": "#ccc"}], [[13.0, 0.0], [13.0, 20.0], {"subtype": "segment", "stroke": "#ccc"}], [[14.0, 0.0], [14.0, 20.0], {"subtype": "segment", "stroke": "#ccc"}], [[15.0, 0.0], [15.0, 20.0], {"subtype": "segment", "stroke": "#ccc"}], [[16.0, 0.0], [16.0, 20.0], {"subtype": "segment", "stroke": "#ccc"}], [[17.0, 0.0], [17.0, 20.0], {"subtype": "segment", "stroke": "#ccc"}], [[18.0, 0.0], [18.0, 20.0], {"subtype": "segment", "stroke": "#ccc"}], [[19.0, 0.0], [19.0, 20.0], {"subtype": "segment", "stroke": "#ccc"}], [[20.0, 0.0], [20.0, 20.0], {"subtype": "segment", "stroke": "#ccc"}], [[5.0, 12.0], [6.0, 11.0], {"subtype": "segment"}], [[6.0, 11.0], [8.0, 12.0], {"subtype": "segment"}], [[5.0, 12.0], [8.0, 12.0], {"subtype": "segment"}]], "circle": [[[5.0, 12.0], 0.2, {"fill": "black"}], [[6.0, 11.0], 0.2, {"fill": "black"}], [[8.0, 12.0], 0.2, {"fill": "black"}], [[4.0, 13.0], 0.2, {"fill": "black"}]], "label": [[[5.0, 12.0], "A", "left", {}], [[6.0, 11.0], "B", "below left", {}], [[8.0, 12.0], "C", "right", {}], [[4.0, 13.0], "O", "above", {}]], "drawing_options": {"tools": ["segment"]}}

Exercice 3 : Tracer une homothétie (rapport pouvant être négatif)

Tracer le triangle \(A'B'C'\) image du triangle \(ABC\) par l'homothétie de centre \(O\) et de rapport \( 2 \).

{"init": {"range": [[0, 20], [0, 20]], "scale": [30, 30]}, "line": [[[0.0, 0.0], [20.0, 0.0], {"subtype": "segment", "stroke": "#ccc"}], [[0.0, 1.0], [20.0, 1.0], {"subtype": "segment", "stroke": "#ccc"}], [[0.0, 2.0], [20.0, 2.0], {"subtype": "segment", "stroke": "#ccc"}], [[0.0, 3.0], [20.0, 3.0], {"subtype": "segment", "stroke": "#ccc"}], [[0.0, 4.0], [20.0, 4.0], {"subtype": "segment", "stroke": "#ccc"}], [[0.0, 5.0], [20.0, 5.0], {"subtype": "segment", "stroke": "#ccc"}], [[0.0, 6.0], [20.0, 6.0], {"subtype": "segment", "stroke": "#ccc"}], [[0.0, 7.0], [20.0, 7.0], {"subtype": "segment", "stroke": "#ccc"}], [[0.0, 8.0], [20.0, 8.0], {"subtype": "segment", "stroke": "#ccc"}], [[0.0, 9.0], [20.0, 9.0], {"subtype": "segment", "stroke": "#ccc"}], [[0.0, 10.0], [20.0, 10.0], {"subtype": "segment", "stroke": "#ccc"}], [[0.0, 11.0], [20.0, 11.0], {"subtype": "segment", "stroke": "#ccc"}], [[0.0, 12.0], [20.0, 12.0], {"subtype": "segment", "stroke": "#ccc"}], [[0.0, 13.0], [20.0, 13.0], {"subtype": "segment", "stroke": "#ccc"}], [[0.0, 14.0], [20.0, 14.0], {"subtype": "segment", "stroke": "#ccc"}], [[0.0, 15.0], [20.0, 15.0], {"subtype": "segment", "stroke": "#ccc"}], [[0.0, 16.0], [20.0, 16.0], {"subtype": "segment", "stroke": "#ccc"}], [[0.0, 17.0], [20.0, 17.0], {"subtype": "segment", "stroke": "#ccc"}], [[0.0, 18.0], [20.0, 18.0], {"subtype": "segment", "stroke": "#ccc"}], [[0.0, 19.0], [20.0, 19.0], {"subtype": "segment", "stroke": "#ccc"}], [[0.0, 20.0], [20.0, 20.0], {"subtype": "segment", "stroke": "#ccc"}], [[0.0, 0.0], [0.0, 20.0], {"subtype": "segment", "stroke": "#ccc"}], [[1.0, 0.0], [1.0, 20.0], {"subtype": "segment", "stroke": "#ccc"}], [[2.0, 0.0], [2.0, 20.0], {"subtype": "segment", "stroke": "#ccc"}], [[3.0, 0.0], [3.0, 20.0], {"subtype": "segment", "stroke": "#ccc"}], [[4.0, 0.0], [4.0, 20.0], {"subtype": "segment", "stroke": "#ccc"}], [[5.0, 0.0], [5.0, 20.0], {"subtype": "segment", "stroke": "#ccc"}], [[6.0, 0.0], [6.0, 20.0], {"subtype": "segment", "stroke": "#ccc"}], [[7.0, 0.0], [7.0, 20.0], {"subtype": "segment", "stroke": "#ccc"}], [[8.0, 0.0], [8.0, 20.0], {"subtype": "segment", "stroke": "#ccc"}], [[9.0, 0.0], [9.0, 20.0], {"subtype": "segment", "stroke": "#ccc"}], [[10.0, 0.0], [10.0, 20.0], {"subtype": "segment", "stroke": "#ccc"}], [[11.0, 0.0], [11.0, 20.0], {"subtype": "segment", "stroke": "#ccc"}], [[12.0, 0.0], [12.0, 20.0], {"subtype": "segment", "stroke": "#ccc"}], [[13.0, 0.0], [13.0, 20.0], {"subtype": "segment", "stroke": "#ccc"}], [[14.0, 0.0], [14.0, 20.0], {"subtype": "segment", "stroke": "#ccc"}], [[15.0, 0.0], [15.0, 20.0], {"subtype": "segment", "stroke": "#ccc"}], [[16.0, 0.0], [16.0, 20.0], {"subtype": "segment", "stroke": "#ccc"}], [[17.0, 0.0], [17.0, 20.0], {"subtype": "segment", "stroke": "#ccc"}], [[18.0, 0.0], [18.0, 20.0], {"subtype": "segment", "stroke": "#ccc"}], [[19.0, 0.0], [19.0, 20.0], {"subtype": "segment", "stroke": "#ccc"}], [[20.0, 0.0], [20.0, 20.0], {"subtype": "segment", "stroke": "#ccc"}], [[10.0, 9.0], [7.0, 9.0], {"subtype": "segment"}], [[7.0, 9.0], [7.0, 10.0], {"subtype": "segment"}], [[10.0, 9.0], [7.0, 10.0], {"subtype": "segment"}]], "circle": [[[10.0, 9.0], 0.2, {"fill": "black"}], [[7.0, 9.0], 0.2, {"fill": "black"}], [[7.0, 10.0], 0.2, {"fill": "black"}], [[6.0, 7.0], 0.2, {"fill": "black"}]], "label": [[[10.0, 9.0], "A", "right", {}], [[7.0, 9.0], "B", "left", {}], [[7.0, 10.0], "C", "above left", {}], [[6.0, 7.0], "O", "above", {}]], "drawing_options": {"tools": ["segment"]}}

Exercice 4 : Placer le centre d'une homothétie (rapport suppérieur à 1)

Placer le point \(O\) pour que le triangle \(A'B'C'\) soit une image du triangle \(ABC\) par l'homothétie de centre \(O\) et de rapport \( 3 \).

{"init": {"range": [[0, 20], [0, 20]], "scale": [30, 30]}, "line": [[[0.0, 0.0], [20.0, 0.0], {"subtype": "segment", "stroke": "#ccc"}], [[0.0, 1.0], [20.0, 1.0], {"subtype": "segment", "stroke": "#ccc"}], [[0.0, 2.0], [20.0, 2.0], {"subtype": "segment", "stroke": "#ccc"}], [[0.0, 3.0], [20.0, 3.0], {"subtype": "segment", "stroke": "#ccc"}], [[0.0, 4.0], [20.0, 4.0], {"subtype": "segment", "stroke": "#ccc"}], [[0.0, 5.0], [20.0, 5.0], {"subtype": "segment", "stroke": "#ccc"}], [[0.0, 6.0], [20.0, 6.0], {"subtype": "segment", "stroke": "#ccc"}], [[0.0, 7.0], [20.0, 7.0], {"subtype": "segment", "stroke": "#ccc"}], [[0.0, 8.0], [20.0, 8.0], {"subtype": "segment", "stroke": "#ccc"}], [[0.0, 9.0], [20.0, 9.0], {"subtype": "segment", "stroke": "#ccc"}], [[0.0, 10.0], [20.0, 10.0], {"subtype": "segment", "stroke": "#ccc"}], [[0.0, 11.0], [20.0, 11.0], {"subtype": "segment", "stroke": "#ccc"}], [[0.0, 12.0], [20.0, 12.0], {"subtype": "segment", "stroke": "#ccc"}], [[0.0, 13.0], [20.0, 13.0], {"subtype": "segment", "stroke": "#ccc"}], [[0.0, 14.0], [20.0, 14.0], {"subtype": "segment", "stroke": "#ccc"}], [[0.0, 15.0], [20.0, 15.0], {"subtype": "segment", "stroke": "#ccc"}], [[0.0, 16.0], [20.0, 16.0], {"subtype": "segment", "stroke": "#ccc"}], [[0.0, 17.0], [20.0, 17.0], {"subtype": "segment", "stroke": "#ccc"}], [[0.0, 18.0], [20.0, 18.0], {"subtype": "segment", "stroke": "#ccc"}], [[0.0, 19.0], [20.0, 19.0], {"subtype": "segment", "stroke": "#ccc"}], [[0.0, 20.0], [20.0, 20.0], {"subtype": "segment", "stroke": "#ccc"}], [[0.0, 0.0], [0.0, 20.0], {"subtype": "segment", "stroke": "#ccc"}], [[1.0, 0.0], [1.0, 20.0], {"subtype": "segment", "stroke": "#ccc"}], [[2.0, 0.0], [2.0, 20.0], {"subtype": "segment", "stroke": "#ccc"}], [[3.0, 0.0], [3.0, 20.0], {"subtype": "segment", "stroke": "#ccc"}], [[4.0, 0.0], [4.0, 20.0], {"subtype": "segment", "stroke": "#ccc"}], [[5.0, 0.0], [5.0, 20.0], {"subtype": "segment", "stroke": "#ccc"}], [[6.0, 0.0], [6.0, 20.0], {"subtype": "segment", "stroke": "#ccc"}], [[7.0, 0.0], [7.0, 20.0], {"subtype": "segment", "stroke": "#ccc"}], [[8.0, 0.0], [8.0, 20.0], {"subtype": "segment", "stroke": "#ccc"}], [[9.0, 0.0], [9.0, 20.0], {"subtype": "segment", "stroke": "#ccc"}], [[10.0, 0.0], [10.0, 20.0], {"subtype": "segment", "stroke": "#ccc"}], [[11.0, 0.0], [11.0, 20.0], {"subtype": "segment", "stroke": "#ccc"}], [[12.0, 0.0], [12.0, 20.0], {"subtype": "segment", "stroke": "#ccc"}], [[13.0, 0.0], [13.0, 20.0], {"subtype": "segment", "stroke": "#ccc"}], [[14.0, 0.0], [14.0, 20.0], {"subtype": "segment", "stroke": "#ccc"}], [[15.0, 0.0], [15.0, 20.0], {"subtype": "segment", "stroke": "#ccc"}], [[16.0, 0.0], [16.0, 20.0], {"subtype": "segment", "stroke": "#ccc"}], [[17.0, 0.0], [17.0, 20.0], {"subtype": "segment", "stroke": "#ccc"}], [[18.0, 0.0], [18.0, 20.0], {"subtype": "segment", "stroke": "#ccc"}], [[19.0, 0.0], [19.0, 20.0], {"subtype": "segment", "stroke": "#ccc"}], [[20.0, 0.0], [20.0, 20.0], {"subtype": "segment", "stroke": "#ccc"}], [[6.0, 5.0], [6.0, 7.0], {"subtype": "segment"}], [[6.0, 7.0], [8.0, 8.0], {"subtype": "segment"}], [[6.0, 5.0], [8.0, 8.0], {"subtype": "segment"}], [[8.0, 7.0], [8.0, 13.0], {"subtype": "segment"}], [[8.0, 13.0], [14.0, 16.0], {"subtype": "segment"}], [[8.0, 7.0], [14.0, 16.0], {"subtype": "segment"}]], "circle": [[[6.0, 5.0], 0.2, {"fill": "black"}], [[6.0, 7.0], 0.2, {"fill": "black"}], [[8.0, 8.0], 0.2, {"fill": "black"}], [[8.0, 7.0], 0.2, {"fill": "black"}], [[8.0, 13.0], 0.2, {"fill": "black"}], [[14.0, 16.0], 0.2, {"fill": "black"}]], "label": [[[6.0, 5.0], "A", "below", {}], [[6.0, 7.0], "B", "above left", {}], [[8.0, 8.0], "C", "above right", {}], [[8.0, 7.0], "A'", "below", {}], [[8.0, 13.0], "B'", "above left", {}], [[14.0, 16.0], "C'", "above right", {}]], "drawing_options": {"tools": ["point"]}}

Exercice 5 : Donner le rapport d'une homothétie (rapport suppérieur à 1)

Donner le rapport de l'homothétie de centre \(O\) transformant le triangle \(ABC\) en le triangle \(A'B'C'\).

{"init": {"range": [[0, 20], [0, 20]], "scale": [30, 30]}, "line": [[[0.0, 0.0], [20.0, 0.0], {"subtype": "segment", "stroke": "#ccc"}], [[0.0, 1.0], [20.0, 1.0], {"subtype": "segment", "stroke": "#ccc"}], [[0.0, 2.0], [20.0, 2.0], {"subtype": "segment", "stroke": "#ccc"}], [[0.0, 3.0], [20.0, 3.0], {"subtype": "segment", "stroke": "#ccc"}], [[0.0, 4.0], [20.0, 4.0], {"subtype": "segment", "stroke": "#ccc"}], [[0.0, 5.0], [20.0, 5.0], {"subtype": "segment", "stroke": "#ccc"}], [[0.0, 6.0], [20.0, 6.0], {"subtype": "segment", "stroke": "#ccc"}], [[0.0, 7.0], [20.0, 7.0], {"subtype": "segment", "stroke": "#ccc"}], [[0.0, 8.0], [20.0, 8.0], {"subtype": "segment", "stroke": "#ccc"}], [[0.0, 9.0], [20.0, 9.0], {"subtype": "segment", "stroke": "#ccc"}], [[0.0, 10.0], [20.0, 10.0], {"subtype": "segment", "stroke": "#ccc"}], [[0.0, 11.0], [20.0, 11.0], {"subtype": "segment", "stroke": "#ccc"}], [[0.0, 12.0], [20.0, 12.0], {"subtype": "segment", "stroke": "#ccc"}], [[0.0, 13.0], [20.0, 13.0], {"subtype": "segment", "stroke": "#ccc"}], [[0.0, 14.0], [20.0, 14.0], {"subtype": "segment", "stroke": "#ccc"}], [[0.0, 15.0], [20.0, 15.0], {"subtype": "segment", "stroke": "#ccc"}], [[0.0, 16.0], [20.0, 16.0], {"subtype": "segment", "stroke": "#ccc"}], [[0.0, 17.0], [20.0, 17.0], {"subtype": "segment", "stroke": "#ccc"}], [[0.0, 18.0], [20.0, 18.0], {"subtype": "segment", "stroke": "#ccc"}], [[0.0, 19.0], [20.0, 19.0], {"subtype": "segment", "stroke": "#ccc"}], [[0.0, 20.0], [20.0, 20.0], {"subtype": "segment", "stroke": "#ccc"}], [[0.0, 0.0], [0.0, 20.0], {"subtype": "segment", "stroke": "#ccc"}], [[1.0, 0.0], [1.0, 20.0], {"subtype": "segment", "stroke": "#ccc"}], [[2.0, 0.0], [2.0, 20.0], {"subtype": "segment", "stroke": "#ccc"}], [[3.0, 0.0], [3.0, 20.0], {"subtype": "segment", "stroke": "#ccc"}], [[4.0, 0.0], [4.0, 20.0], {"subtype": "segment", "stroke": "#ccc"}], [[5.0, 0.0], [5.0, 20.0], {"subtype": "segment", "stroke": "#ccc"}], [[6.0, 0.0], [6.0, 20.0], {"subtype": "segment", "stroke": "#ccc"}], [[7.0, 0.0], [7.0, 20.0], {"subtype": "segment", "stroke": "#ccc"}], [[8.0, 0.0], [8.0, 20.0], {"subtype": "segment", "stroke": "#ccc"}], [[9.0, 0.0], [9.0, 20.0], {"subtype": "segment", "stroke": "#ccc"}], [[10.0, 0.0], [10.0, 20.0], {"subtype": "segment", "stroke": "#ccc"}], [[11.0, 0.0], [11.0, 20.0], {"subtype": "segment", "stroke": "#ccc"}], [[12.0, 0.0], [12.0, 20.0], {"subtype": "segment", "stroke": "#ccc"}], [[13.0, 0.0], [13.0, 20.0], {"subtype": "segment", "stroke": "#ccc"}], [[14.0, 0.0], [14.0, 20.0], {"subtype": "segment", "stroke": "#ccc"}], [[15.0, 0.0], [15.0, 20.0], {"subtype": "segment", "stroke": "#ccc"}], [[16.0, 0.0], [16.0, 20.0], {"subtype": "segment", "stroke": "#ccc"}], [[17.0, 0.0], [17.0, 20.0], {"subtype": "segment", "stroke": "#ccc"}], [[18.0, 0.0], [18.0, 20.0], {"subtype": "segment", "stroke": "#ccc"}], [[19.0, 0.0], [19.0, 20.0], {"subtype": "segment", "stroke": "#ccc"}], [[20.0, 0.0], [20.0, 20.0], {"subtype": "segment", "stroke": "#ccc"}], [[7.0, 15.0], [7.0, 16.0], {"subtype": "segment"}], [[7.0, 16.0], [6.0, 16.0], {"subtype": "segment"}], [[7.0, 15.0], [6.0, 16.0], {"subtype": "segment"}], [[15.0, 3.0], [15.0, 8.0], {"subtype": "segment"}], [[15.0, 8.0], [10.0, 8.0], {"subtype": "segment"}], [[15.0, 3.0], [10.0, 8.0], {"subtype": "segment"}]], "circle": [[[7.0, 15.0], 0.2, {"fill": "black"}], [[7.0, 16.0], 0.2, {"fill": "black"}], [[6.0, 16.0], 0.2, {"fill": "black"}], [[15.0, 3.0], 0.2, {"fill": "black"}], [[15.0, 8.0], 0.2, {"fill": "black"}], [[10.0, 8.0], 0.2, {"fill": "black"}], [[5.0, 18.0], 0.2, {"fill": "black"}]], "label": [[[7.0, 15.0], "A", "below right", {}], [[7.0, 16.0], "B", "above right", {}], [[6.0, 16.0], "C", "above left", {}], [[15.0, 3.0], "A'", "below right", {}], [[15.0, 8.0], "B'", "above right", {}], [[10.0, 8.0], "C'", "above left", {}], [[5.0, 18.0], "O", "above", {}]]}

Revenir au choix du niveau