Pour aller plus loin (Ancien programme) - 5e
Proportionnalité
Exercice 1 : Reconnaître un agrandissement ou une réduction - Triangle
On considère la figure modèle suivante :
{"init": {"range": [[-3.542873174271212, 2.187329932700628], [-3.7550404045881294, 1.0]], "scale": [45, 45]}, "path": [[[[0.0, 0.0], [-2.542873174271212, -1.5917901933269507], [1.187329932700628, -2.7550404045881294], [0.0, 0.0]]]], "line": [[[-1.3094799063733764, -0.9612816313674019], [-1.2333932678978354, -0.6305085619595489]], [[0.0, 0.0], [-2.542873174271212, -1.5917901933269507], {"subtype": "segment"}], [[0.43597015285876367, -1.3148117834185646], [0.7513597798418643, -1.4402286211695647]], [[1.187329932700628, -2.7550404045881294], [0.0, 0.0], {"subtype": "segment"}]]}
Parmi les figures A, B, C, D ci-dessous, lesquelles sont des agrandissements ou des réductions de la figure modèle.
- A.
{"init": {"range": [[-2.271436587135606, 1.593664966350314], [-2.3775202022940647, 1.0]], "scale": [45, 45]}, "path": [[[[0.0, 0.0], [-1.271436587135606, -0.7958950966634754], [0.593664966350314, -1.3775202022940647], [0.0, 0.0]]]], "arc": [[[-1.271436587135606, -0.7958950966634754], [0.25, 0.25], 342.6801012963392, 32.0457824148956, false], [[0.593664966350314, -1.3775202022940647], [0.25, 0.25], 113.31442017778295, 162.68010129633933, false]], "line": [[[-1.0854826637187311, -0.7718661897829898], [-0.9615133814408146, -0.7558469185293327]], [[0.4543313099645059, -1.2520515520336848], [0.36144220570730046, -1.1684057851934313]]]}
- B.
{"init": {"range": [[-2.525723904562727, 1.7123979596203769], [-2.6530242427528776, 1.0]], "scale": [45, 45]}, "path": [[[[0.0, 0.0], [-1.5257239045627273, -0.9550741159961705], [0.7123979596203769, -1.6530242427528778], [0.0, 0.0]]]], "arc": [[[-1.5257239045627273, -0.9550741159961705], [0.30000000000000004, 0.30000000000000004], 342.6801012963392, 32.0457824148956, false], [[0.7123979596203769, -1.6530242427528778], [0.3000000000000001, 0.3000000000000001], 113.31442017778295, 162.68010129633933, false]], "line": [[[-1.3025791964624776, -0.9262394277395879], [-1.1538160577289776, -0.9070163022351994]], [[0.5451975719574071, -1.5024618624404218], [0.43373064684876056, -1.4020869422321178]]]}
- C.
{"init": {"range": [[-3.6564089176306975, 2.2617026334852763], [-4.795801162423595, 1.0]], "scale": [45, 45]}, "path": [[[[0.0, 0.0], [-2.6564089176306975, -2.9905671138317738], [1.2617026334852763, -3.7958011624235954], [0.0, 0.0]]]], "arc": [[[-2.6564089176306975, -2.9905671138317738], [0.6666666666666666, 0.6666666666666666], 348.3865123066829, 48.3865123066829, false], [[0.0, 0.0], [0.6666666666666666, 0.6666666666666666], 228.3865123066829, 288.3865123066829, false], [[1.2617026334852763, -3.7958011624235954], [0.6666666666666666, 0.6666666666666666], 108.3865123066829, 168.3865123066829, false]], "line": [[[-2.1819337723277483, -2.832854284646114], [-1.8656170087924484, -2.7277123985223413]], [[-0.10065425607397761, -0.4897639438894968], [-0.16775709345662934, -0.8162732398158279]], [[0.8878817442563046, -3.463750047719758], [0.6386678181036568, -3.2423826379172]]]}
- D.
{"init": {"range": [[-4.464690015134539, 1.0], [-2.9989805149192996, 4.464690015134539]], "scale": [45, 45]}, "path": [[[[0.0, 0.0], [-3.464690015134539, -1.9989805149192996], [-1.9989805149192996, 3.464690015134539], [0.0, 0.0]]], [[[0.0, 0.0], [-0.5774483358557565, -0.33316341915321657], [-0.9106117550089731, 0.24428491670253988], [-0.33316341915321657, 0.5774483358557565], [0.0, 0.0]]]]}
Exercice 2 : Reconnaître un agrandissement ou une réduction à l'aide des longueurs - Parallélogramme
On considère la figure modèle suivante :
{"init": {"range": [[-2.648211220788728, 5.1000000000000005], [-1.0, 4.534600369442935]], "scale": [45, 45]}, "path": [[[[0.0, 0.0], [4.1000000000000005, 0.0], [2.4517887792112725, 3.534600369442935], [-1.648211220788728, 3.534600369442935], [0.0, 0.0]]]], "label": [[[2.0500000000000003, 0.0], "4,1 cm", "below", {}], [[-0.824105610394364, 1.7673001847214675], "3,9 cm", "left", {}], [[0.3492447454254355, 0.5482044397783759], "115\u00b0", "above right", {"color": "blue"}], [[2.1025440337858377, 2.986395929664559], "115\u00b0", "below left", {"color": "blue"}], [[3.551795560221625, 0.3492447454254353], "65\u00b0", "above left", {"color": "red"}], [[-1.1000067810103524, 3.1853556240174994], "65\u00b0", "below right", {"color": "red"}]], "arc": [[[0.0, 0.0], [0.65, 0.65], 0.0, 115.0, false, {"stroke": "blue"}], [[2.4517887792112725, 3.534600369442935], [0.65, 0.65], 180.0, 295.0, false, {"stroke": "blue"}], [[4.1000000000000005, 0.0], [0.65, 0.65], 115.0, 180.0, false, {"stroke": "red"}], [[-1.648211220788728, 3.534600369442935], [0.65, 0.65], 295.0, 0.0, false, {"stroke": "red"}]]}
Parmi les figures A, B, C, D ci-dessous, lesquelles sont des agrandissements ou des réductions de la figure modèle.
- A.
{"init": {"range": [[-3.637137953261965, 7.560000000000001], [-1.0, 6.655360591108697]], "scale": [45, 45]}, "path": [[[[0.0, 0.0], [6.560000000000001, 0.0], [3.9228620467380364, 5.655360591108697], [-2.637137953261965, 5.655360591108697], [0.0, 0.0]]]], "label": [[[3.2800000000000007, 0.0], "6,56 cm", "below", {}], [[-1.3185689766309825, 2.8276802955543485], "6,24 cm", "left", {}], [[0.5587915926806969, 0.8771271036454013], "115\u00b0", "above right", {"color": "blue"}], [[3.364070454057339, 4.778233487463297], "115\u00b0", "below left", {"color": "blue"}], [[5.6828728963546, 0.5587915926806969], "65\u00b0", "above left", {"color": "red"}], [[-1.7600108496165636, 5.096568998428], "65\u00b0", "below right", {"color": "red"}]], "arc": [[[0.0, 0.0], [1.04, 1.04], 0.0, 115.0, false, {"stroke": "blue"}], [[3.9228620467380364, 5.655360591108697], [1.04, 1.04], 180.0, 295.0, false, {"stroke": "blue"}], [[6.560000000000001, 0.0], [1.04, 1.04], 115.0, 180.0, false, {"stroke": "red"}], [[-2.637137953261965, 5.655360591108697], [1.04, 1.04], 295.0, 0.0, false, {"stroke": "red"}]]}
- B.
{"init": {"range": [[-3.801959075340838, 7.9700000000000015], [-1.0, 7.008820628052991]], "scale": [45, 45]}, "path": [[[[0.0, 0.0], [6.9700000000000015, 0.0], [4.168040924659164, 6.008820628052991], [-2.801959075340838, 6.008820628052991], [0.0, 0.0]]]], "label": [[[3.4850000000000008, 0.0], "6,97 cm", "below", {}], [[-1.400979537670419, 3.0044103140264955], "6,63 cm", "left", {}], [[0.5937160672232403, 0.931947547623239], "115\u00b0", "above right", {"color": "blue"}], [[3.574324857435923, 5.076873080429753], "115\u00b0", "below left", {"color": "blue"}], [[6.038052452376763, 0.5937160672232407], "65\u00b0", "above left", {"color": "red"}], [[-1.870011527717599, 5.415104560829751], "65\u00b0", "below right", {"color": "red"}]], "arc": [[[0.0, 0.0], [1.1050000000000002, 1.1050000000000002], 0.0, 115.0, false, {"stroke": "blue"}], [[4.168040924659164, 6.008820628052991], [1.1050000000000002, 1.1050000000000002], 180.0, 295.0, false, {"stroke": "blue"}], [[6.9700000000000015, 0.0], [1.1050000000000002, 1.1050000000000002], 115.0, 180.0, false, {"stroke": "red"}], [[-2.801959075340838, 6.008820628052991], [1.1050000000000002, 1.1050000000000002], 295.0, 0.0, false, {"stroke": "red"}]]}
- C.
{"init": {"range": [[-1.0, 10.161520443331526], [-1.0, 2.977853464946474]], "scale": [45, 45]}, "path": [[[[0.0, 0.0], [4.920000000000002, 0.0], [9.161520443331526, 1.977853464946474], [4.241520443331523, 1.977853464946474], [0.0, 0.0]]]], "label": [[[2.460000000000001, 0.0], "4,92 cm", "below", {}], [[2.1207602216657615, 0.988926732473237], "4,68 cm", "left", {}], [[0.7615108855535483, 0.16882289887172028], "25\u00b0", "right", {"color": "blue"}], [[8.400009557777977, 1.8090305660747543], "25\u00b0", "left", {"color": "blue"}], [[4.751177101128281, 0.7615108855535482], "155\u00b0", "above", {"color": "red"}], [[4.41034334220324, 1.216342579392925], "155\u00b0", "below", {"color": "red"}]], "arc": [[[0.0, 0.0], [0.7800000000000002, 0.7800000000000002], 0.0, 25.0, false, {"stroke": "blue"}], [[9.161520443331526, 1.977853464946474], [0.7800000000000002, 0.7800000000000002], 180.0, 205.0, false, {"stroke": "blue"}], [[4.920000000000002, 0.0], [0.7800000000000002, 0.7800000000000002], 25.0, 180.0, false, {"stroke": "red"}], [[4.241520443331523, 1.977853464946474], [0.7800000000000002, 0.7800000000000002], 205.0, 0.0, false, {"stroke": "red"}]]}
- D.
{"init": {"range": [[-2.8130323428676007, 6.330000000000001], [-1.0, 4.888060406387229]], "scale": [45, 45]}, "path": [[[[0.0, 0.0], [5.330000000000001, 0.0], [3.5169676571324, 3.888060406387229], [-1.813032342867601, 3.888060406387229], [0.0, 0.0]]]], "label": [[[2.6650000000000005, 0.0], "5,33 cm", "below", {}], [[-0.9065161714338005, 1.9440302031936145], "4,29 cm", "left", {}], [[0.38416921996797915, 0.6030248837562133], "115\u00b0", "above right", {"color": "blue"}], [[3.1327984371644204, 3.285035522631016], "115\u00b0", "below left", {"color": "blue"}], [[4.726975116243787, 0.384169219967979], "65\u00b0", "above left", {"color": "red"}], [[-1.2100074591113872, 3.5038911864192506], "65\u00b0", "below right", {"color": "red"}]], "arc": [[[0.0, 0.0], [0.7150000000000001, 0.7150000000000001], 0.0, 115.0, false, {"stroke": "blue"}], [[3.5169676571324, 3.888060406387229], [0.7150000000000001, 0.7150000000000001], 180.0, 295.0, false, {"stroke": "blue"}], [[5.330000000000001, 0.0], [0.7150000000000001, 0.7150000000000001], 115.0, 180.0, false, {"stroke": "red"}], [[-1.813032342867601, 3.888060406387229], [0.7150000000000001, 0.7150000000000001], 295.0, 0.0, false, {"stroke": "red"}]]}
Exercice 3 : Reconnaître un agrandissement ou une réduction - Quadrilatères
On considère la figure modèle suivante :
{"path": [[[[-2.1787091806402996, -2.062335158550538], [0.0, 0.0], [-2.062335158550538, 2.1787091806402996], [-4.241044339190838, 0.11637402208976158], [-2.1787091806402996, -2.062335158550538]]], [[[0.0, 0.0], [-0.3631181967733833, -0.3437225264250897], [-0.706840723198473, 0.019395670348293592], [-0.3437225264250897, 0.3631181967733833], [0.0, 0.0]]], [[[-2.120522169595419, 0.058187011044880776], [-2.1302200047695656, -0.29523335055435573], [-1.7767996431703292, -0.3049311857285025], [-1.7671018079961822, 0.04848917587073398], [-2.120522169595419, 0.058187011044880776]]]], "init": {"range": [[-5.241044339190838, 1.0], [-3.062335158550538, 3.1787091806402996]], "scale": [45, 45]}, "line": [[[-1.0854754562504911, -0.8897994346355744], [-1.0932337243898085, -1.1725357239149636]], [[-2.1787091806402996, -2.062335158550538], [0.0, 0.0], {"subtype": "segment"}], [[-1.1725357239149636, 1.0932337243898085], [-0.8897994346355744, 1.0854754562504911]], [[0.0, 0.0], [-2.062335158550538, 2.1787091806402996], {"subtype": "segment"}], [[-3.1555688829403468, 1.006173456725336], [-3.147810614801029, 1.2889097460047252]], [[-2.062335158550538, 2.1787091806402996], [-4.241044339190838, 0.11637402208976158], {"subtype": "segment"}], [[-3.0685086152758743, -0.9768597023000469], [-3.351244904555263, -0.9691014341607296]], [[-4.241044339190838, 0.11637402208976158], [-2.1787091806402996, -2.062335158550538], {"subtype": "segment"}], [[-2.1787091806402996, -2.062335158550538], [-2.062335158550538, 2.1787091806402996], {"opacity": 0.5, "subtype": "segment", "stroke-dasharray": "- "}], [[0.0, 0.0], [-4.241044339190838, 0.11637402208976158], {"opacity": 0.5, "subtype": "segment", "stroke-dasharray": "- "}]]}
Parmi les figures A, B, C, D ci-dessous, lesquelles sont des agrandissements ou des réductions de la figure modèle.
- A.
{"path": [[[[-4.999776537225577, 0.04727132120668488], [0.0, 0.0], [-1.826077001635286, 4.654472234754299], [-6.825853538860862, 4.701743555960984], [-4.999776537225577, 0.04727132120668488]]], [[[-3.4129267694304315, 2.3508717779804917], [-3.6774017307296223, 1.9669383685181907], [-3.293460729961751, 1.7024744277154396], [-3.0289857686625603, 2.0864078371777404], [-3.4129267694304315, 2.3508717779804917]]]], "init": {"range": [[-7.825853538860862, 1.0], [-1.0, 5.701743555960984]], "scale": [45, 45]}, "line": [[[-2.33165333999838, 0.18871916780397213], [-2.668123197227197, -0.14144784659728726]], [[-4.999776537225577, 0.04727132120668488], [0.0, 0.0], {"subtype": "segment"}], [[-1.1290625593342756, 2.4215184683107047], [-0.6970144423010105, 2.232953766443594]], [[0.0, 0.0], [-1.826077001635286, 4.654472234754299], {"subtype": "segment"}], [[-4.494200198862482, 4.513024388157011], [-4.157730341633665, 4.843191402558271]], [[-1.826077001635286, 4.654472234754299], [-6.825853538860862, 4.701743555960984], {"subtype": "segment"}], [[-5.696790979526587, 2.280225087650279], [-6.128839096559852, 2.46878978951739]], [[-6.825853538860862, 4.701743555960984], [-4.999776537225577, 0.04727132120668488], {"subtype": "segment"}], [[-4.999776537225577, 0.04727132120668488], [-1.826077001635286, 4.654472234754299], {"opacity": 0.5, "subtype": "segment", "stroke-dasharray": "- "}], [[0.0, 0.0], [-6.825853538860862, 4.701743555960984], {"opacity": 0.5, "subtype": "segment", "stroke-dasharray": "- "}]]}
- B.
{"path": [[[[-1.5250964264482099, -1.4436346109853768], [0.0, 0.0], [-1.4436346109853768, 1.5250964264482099], [-2.9687310374335865, 0.08146181546283311], [-1.5250964264482099, -1.4436346109853768]]], [[[0.0, 0.0], [-0.3631181967733833, -0.3437225264250897], [-0.706840723198473, 0.019395670348293592], [-0.3437225264250897, 0.3631181967733833], [0.0, 0.0]]], [[[-1.4843655187167935, 0.04073090773141652], [-1.491154003338696, -0.20666334538804904], [-1.2437597502192306, -0.21345183000995177], [-1.236971265597328, 0.03394242310951377], [-1.4843655187167935, 0.04073090773141652]]]], "init": {"range": [[-3.9687310374335865, 1.0], [-2.443634610985377, 2.5250964264482096]], "scale": [45, 45]}, "line": [[[-0.7598328193753439, -0.6228596042449022], [-0.765263607072866, -0.8207750067404747]], [[-0.8106693669236176, -0.6709807579444147], [-0.8161001546211397, -0.8688961604399872]], [[-0.7089962718270701, -0.5747384505453896], [-0.7144270595245923, -0.7726538530409621]], [[-1.5250964264482099, -1.4436346109853768], [0.0, 0.0], {"subtype": "segment"}], [[-0.8207750067404747, 0.765263607072866], [-0.6228596042449022, 0.7598328193753439]], [[-0.7726538530409621, 0.7144270595245923], [-0.5747384505453896, 0.7089962718270701]], [[-0.8688961604399872, 0.8161001546211397], [-0.6709807579444147, 0.8106693669236176]], [[0.0, 0.0], [-1.4436346109853768, 1.5250964264482099], {"subtype": "segment"}], [[-2.2088982180582426, 0.7043214197077352], [-2.2034674303607207, 0.9022368222033077]], [[-2.158061670509969, 0.7524425734072477], [-2.152630882812447, 0.9503579759028202]], [[-2.2597347656065163, 0.6562002660082227], [-2.2543039779089944, 0.8541156685037952]], [[-1.4436346109853768, 1.5250964264482099], [-2.9687310374335865, 0.08146181546283311], {"subtype": "segment"}], [[-2.1479560306931123, -0.683801791610033], [-2.3458714331886843, -0.6783710039125108]], [[-2.196077184392625, -0.6329652440617592], [-2.393992586888197, -0.6275344563642371]], [[-2.0998348769935995, -0.7346383391583067], [-2.2977502794891715, -0.7292075514607845]], [[-2.9687310374335865, 0.08146181546283311], [-1.5250964264482099, -1.4436346109853768], {"subtype": "segment"}], [[-1.5250964264482099, -1.4436346109853768], [-1.4436346109853768, 1.5250964264482099], {"opacity": 0.5, "subtype": "segment", "stroke-dasharray": "- "}], [[0.0, 0.0], [-2.9687310374335865, 0.08146181546283311], {"opacity": 0.5, "subtype": "segment", "stroke-dasharray": "- "}]]}
- C.
{"path": [[[[2.896714309923127, -0.7804141251198514], [0.0, 0.0], [-1.0405521668264686, -3.862285746564169], [1.8561621430966584, -4.64269987168402], [2.896714309923127, -0.7804141251198514]]], [[[0.0, 0.0], [0.4827857183205211, -0.13006902085330854], [0.3527166974672125, -0.6128547391738297], [-0.13006902085330857, -0.48278571832052114], [0.0, 0.0]]]], "init": {"range": [[-2.0405521668264686, 3.896714309923127], [-5.64269987168402, 1.0]], "scale": [45, 45]}, "line": [[[1.3257862071267976, -0.4607504020533682], [1.5709281027963293, -0.3196637230664832]], [[1.518900494455006, -0.5127780103946916], [1.377813815468121, -0.2676361147251598]], [[2.896714309923127, -0.7804141251198514], [0.0, 0.0], {"subtype": "segment"}], [[-0.4497327439197918, -2.0537138211168506], [-0.5908194229066768, -1.8085719254473187]], [[0.0, 0.0], [-1.0405521668264686, -3.862285746564169], {"subtype": "segment"}], [[0.5303759359698609, -4.181949469630652], [0.285234040300329, -4.323036148617538]], [[0.3372616486416524, -4.129921861289329], [0.4783483276285374, -4.375063756958861]], [[-1.0405521668264686, -3.862285746564169], [1.8561621430966584, -4.64269987168402], {"subtype": "segment"}], [[2.3058948870164504, -2.5889860505671702], [2.4469815660033354, -2.834127946236702]], [[1.8561621430966584, -4.64269987168402], [2.896714309923127, -0.7804141251198514], {"subtype": "segment"}], [[2.896714309923127, -0.7804141251198514], [-1.0405521668264686, -3.862285746564169], {"opacity": 0.5, "subtype": "segment", "stroke-dasharray": "- "}], [[0.0, 0.0], [1.8561621430966584, -4.64269987168402], {"opacity": 0.5, "subtype": "segment", "stroke-dasharray": "- "}]]}
- D.
{"path": [[[[-3.2680637709604494, -3.093502737825807], [0.0, 0.0], [-3.093502737825807, 3.2680637709604494], [-6.3615665087862565, 0.17456103313464238], [-3.2680637709604494, -3.093502737825807]]], [[[0.0, 0.0], [-0.36311819677338325, -0.34372252642508966], [-0.7068407231984729, 0.019395670348293592], [-0.34372252642508966, 0.36311819677338325], [0.0, 0.0]]], [[[-3.1807832543931283, 0.08728051656732116], [-3.1953300071543485, -0.44285002583153354], [-2.665199464755494, -0.45739677859275374], [-2.6506527119942733, 0.07273376380610097], [-3.1807832543931283, 0.08728051656732116]]]], "init": {"range": [[-7.3615665087862565, 1.0], [-4.093502737825807, 4.268063770960449]], "scale": [45, 45]}, "line": [[[-1.6282131843757366, -1.3346991519533618], [-1.6398505865847128, -1.7588035858724453]], [[-3.2680637709604494, -3.093502737825807], [0.0, 0.0], {"subtype": "segment"}], [[-1.7588035858724453, 1.6398505865847128], [-1.3346991519533618, 1.6282131843757366]], [[0.0, 0.0], [-3.093502737825807, 3.2680637709604494], {"subtype": "segment"}], [[-4.73335332441052, 1.509260185088004], [-4.721715922201544, 1.9333646190070877]], [[-3.093502737825807, 3.2680637709604494], [-6.3615665087862565, 0.17456103313464238], {"subtype": "segment"}], [[-4.602762922913811, -1.4652895534500705], [-5.026867356832895, -1.4536521512410943]], [[-6.3615665087862565, 0.17456103313464238], [-3.2680637709604494, -3.093502737825807], {"subtype": "segment"}], [[-3.2680637709604494, -3.093502737825807], [-3.093502737825807, 3.2680637709604494], {"opacity": 0.5, "subtype": "segment", "stroke-dasharray": "- "}], [[0.0, 0.0], [-6.3615665087862565, 0.17456103313464238], {"opacity": 0.5, "subtype": "segment", "stroke-dasharray": "- "}]]}
Exercice 4 : Reconnaître un agrandissement ou une réduction - Cercles et Ellipses
On considère la figure modèle suivante :
{"init": {"range": [[-4.0, 4.0], [-8.0, 8.0]], "scale": [20, 20]}, "ellipse": [[[0.0, 0.0], [3.0, 7.0], {}]]}
Parmi les figures A, B, C, D ci-dessous, lesquelles sont des agrandissements ou des réductions de la figure modèle.
- A.
{"init": {"range": [[-4.9, 4.9], [-10.1, 10.1]], "scale": [20, 20]}, "ellipse": [[[0.0, 0.0], [3.9000000000000004, 9.1], {}]]}
- B.
{"init": {"range": [[-6.0, 6.0], [-6.0, 6.0]], "scale": [20, 20]}, "circle": [[[0.0, 0.0], 5.0, {}]]}
- C.
{"init": {"range": [[-4.0, 4.0], [-4.0, 4.0]], "scale": [20, 20]}, "circle": [[[0.0, 0.0], 3.0, {}]]}
- D.
{"init": {"range": [[-6.460000000000001, 6.460000000000001], [-13.74, 13.74]], "scale": [20, 20]}, "ellipse": [[[0.0, 0.0], [5.460000000000001, 12.74], {}]]}
Exercice 5 : Reconnaître un agrandissement ou une réduction à l'aide des longueurs - Rectangle
On considère la figure modèle suivante :
{"init": {"range": [[-1.0, 4.8], [-1.0, 5.1000000000000005]], "scale": [45, 45]}, "path": [[[[0.0, 4.1000000000000005], [0.0, 0.0], [3.8, 0.0], [3.8, 4.1000000000000005], [0.0, 4.1000000000000005]]], [[[0.0, 0.0], [0.0, 0.5], [0.5, 0.5], [0.5, 0.0], [0.0, 0.0]]]], "line": [[[0.12666666666666665, 1.9233333333333336], [-0.12666666666666665, 2.1766666666666667]], [[0.12666666666666665, 2.0500000000000003], [-0.12666666666666665, 2.3033333333333332]], [[0.12666666666666665, 1.7966666666666669], [-0.12666666666666665, 2.0500000000000003]], [[0.0, 4.1000000000000005], [0.0, 0.0], {"subtype": "segment"}], [[2.0266666666666664, 0.12666666666666665], [1.7733333333333332, -0.12666666666666665]], [[1.9, 0.12666666666666665], [1.6466666666666665, -0.12666666666666665]], [[0.0, 0.0], [3.8, 0.0], {"subtype": "segment"}], [[3.9266666666666663, 1.9233333333333336], [3.6733333333333333, 2.1766666666666667]], [[3.9266666666666663, 2.0500000000000003], [3.6733333333333333, 2.3033333333333332]], [[3.9266666666666663, 1.7966666666666669], [3.6733333333333333, 2.0500000000000003]], [[3.8, 0.0], [3.8, 4.1000000000000005], {"subtype": "segment"}], [[2.0266666666666664, 4.2266666666666675], [1.7733333333333332, 3.973333333333334]], [[1.9, 4.2266666666666675], [1.6466666666666665, 3.973333333333334]], [[3.8, 4.1000000000000005], [0.0, 4.1000000000000005], {"subtype": "segment"}]], "label": [[[0.0, 2.0500000000000003], "4,1 cm", "left", {}], [[1.9, 0.0], "3,8 cm", "below", {}], [[3.8, 2.0500000000000003], "4,1 cm", "right", {}], [[1.9, 4.1000000000000005], "3,8 cm", "above", {}]]}
Parmi les figures A, B, C, D ci-dessous, lesquelles sont des agrandissements ou des réductions de la figure modèle.
- A.
{"init": {"range": [[-1.0, 6.319999999999999], [-1.0, 6.74]], "scale": [45, 45]}, "path": [[[[0.0, 5.74], [0.0, 0.0], [5.319999999999999, 0.0], [5.319999999999999, 5.74], [0.0, 5.74]]], [[[0.0, 0.0], [0.0, 0.5], [0.5, 0.5], [0.5, 0.0], [0.0, 0.0]]]], "line": [[[0.17666666666666667, 2.6933333333333334], [-0.17666666666666667, 3.046666666666667]], [[0.17666666666666667, 3.046666666666667], [-0.17666666666666667, 2.6933333333333334]], [[0.0, 5.74], [0.0, 0.0], {"subtype": "segment"}], [[2.8366666666666664, 0.17666666666666667], [2.483333333333333, -0.17666666666666667]], [[0.0, 0.0], [5.319999999999999, 0.0], {"subtype": "segment"}], [[5.496666666666666, 2.6933333333333334], [5.143333333333333, 3.046666666666667]], [[5.496666666666666, 3.046666666666667], [5.143333333333333, 2.6933333333333334]], [[5.319999999999999, 0.0], [5.319999999999999, 5.74], {"subtype": "segment"}], [[2.8366666666666664, 5.916666666666667], [2.483333333333333, 5.5633333333333335]], [[5.319999999999999, 5.74], [0.0, 5.74], {"subtype": "segment"}]], "label": [[[0.0, 2.87], "5,74 cm", "left", {}], [[2.6599999999999997, 0.0], "5,32 cm", "below", {}], [[5.319999999999999, 2.87], "5,74 cm", "right", {}], [[2.6599999999999997, 5.74], "5,32 cm", "above", {}]]}
- B.
{"init": {"range": [[-1.0, 3.2800000000000002], [-1.0, 3.460000000000001]], "scale": [45, 45]}, "path": [[[[0.0, 2.460000000000001], [0.0, 0.0], [2.2800000000000002, 0.0], [2.2800000000000002, 2.460000000000001], [0.0, 2.460000000000001]]], [[[0.0, 0.0], [0.0, 0.5], [0.5, 0.5], [0.5, 0.0], [0.0, 0.0]]]], "line": [[[0.07666666666666666, 1.1533333333333338], [-0.07666666666666666, 1.306666666666667]], [[0.0, 2.460000000000001], [0.0, 0.0], {"subtype": "segment"}], [[1.2166666666666668, 0.07666666666666666], [1.0633333333333335, -0.07666666666666666]], [[1.1400000000000001, 0.07666666666666666], [0.9866666666666668, -0.07666666666666666]], [[1.2933333333333334, 0.07666666666666666], [1.1400000000000001, -0.07666666666666666]], [[0.0, 0.0], [2.2800000000000002, 0.0], {"subtype": "segment"}], [[2.356666666666667, 1.1533333333333338], [2.2033333333333336, 1.306666666666667]], [[2.2800000000000002, 0.0], [2.2800000000000002, 2.460000000000001], {"subtype": "segment"}], [[1.2166666666666668, 2.5366666666666675], [1.0633333333333335, 2.383333333333334]], [[1.1400000000000001, 2.5366666666666675], [0.9866666666666668, 2.383333333333334]], [[1.2933333333333334, 2.5366666666666675], [1.1400000000000001, 2.383333333333334]], [[2.2800000000000002, 2.460000000000001], [0.0, 2.460000000000001], {"subtype": "segment"}]], "label": [[[0.0, 1.2300000000000004], "2,46 cm", "left", {}], [[1.1400000000000001, 0.0], "2,28 cm", "below", {}], [[2.2800000000000002, 1.2300000000000004], "2,46 cm", "right", {}], [[1.1400000000000001, 2.460000000000001], "2,28 cm", "above", {}]]}
- C.
{"init": {"range": [[-1.0, 5.16], [-1.0, 6.87]], "scale": [45, 45]}, "path": [[[[0.0, 5.87], [0.0, 0.0], [4.16, 0.0], [4.16, 5.87], [0.0, 5.87]]], [[[0.0, 0.0], [0.0, 0.5], [0.5, 0.5], [0.5, 0.0], [0.0, 0.0]]]], "line": [[[0.14, 2.795], [-0.14, 3.075]], [[0.14, 2.935], [-0.14, 3.2150000000000003]], [[0.0, 5.87], [0.0, 0.0], {"subtype": "segment"}], [[2.22, 0.14], [1.94, -0.14]], [[1.94, 0.14], [2.22, -0.14]], [[0.0, 0.0], [4.16, 0.0], {"subtype": "segment"}], [[4.3, 2.795], [4.0200000000000005, 3.075]], [[4.3, 2.935], [4.0200000000000005, 3.2150000000000003]], [[4.16, 0.0], [4.16, 5.87], {"subtype": "segment"}], [[2.22, 6.01], [1.94, 5.73]], [[1.94, 6.01], [2.22, 5.73]], [[4.16, 5.87], [0.0, 5.87], {"subtype": "segment"}]], "label": [[[0.0, 2.935], "5,87 cm", "left", {}], [[2.08, 0.0], "4,16 cm", "below", {}], [[4.16, 2.935], "5,87 cm", "right", {}], [[2.08, 5.87], "4,16 cm", "above", {}]]}
- D.
{"init": {"range": [[-1.0, 6.699999999999999], [-1.0, 7.15]], "scale": [45, 45]}, "path": [[[[0.0, 6.15], [0.0, 0.0], [5.699999999999999, 0.0], [5.699999999999999, 6.15], [0.0, 6.15]]], [[[0.0, 0.0], [0.0, 0.5], [0.5, 0.5], [0.5, 0.0], [0.0, 0.0]]]], "line": [[[0.19, 2.8850000000000002], [-0.19, 3.265]], [[0.19, 3.075], [-0.19, 3.455]], [[0.19, 2.6950000000000003], [-0.19, 3.075]], [[0.0, 6.15], [0.0, 0.0], {"subtype": "segment"}], [[3.0399999999999996, 0.19], [2.6599999999999997, -0.19]], [[2.6599999999999997, 0.19], [3.0399999999999996, -0.19]], [[0.0, 0.0], [5.699999999999999, 0.0], {"subtype": "segment"}], [[5.89, 2.8850000000000002], [5.509999999999999, 3.265]], [[5.89, 3.075], [5.509999999999999, 3.455]], [[5.89, 2.6950000000000003], [5.509999999999999, 3.075]], [[5.699999999999999, 0.0], [5.699999999999999, 6.15], {"subtype": "segment"}], [[3.0399999999999996, 6.340000000000001], [2.6599999999999997, 5.96]], [[2.6599999999999997, 6.340000000000001], [3.0399999999999996, 5.96]], [[5.699999999999999, 6.15], [0.0, 6.15], {"subtype": "segment"}]], "label": [[[0.0, 3.075], "6,15 cm", "left", {}], [[2.8499999999999996, 0.0], "5,7 cm", "below", {}], [[5.699999999999999, 3.075], "6,15 cm", "right", {}], [[2.8499999999999996, 6.15], "5,7 cm", "above", {}]]}