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Bekannt sind ein Endpunkt ",[573,2178,2180,2204],{"className":2179},[576],[573,2181,2183],{"className":2182},[580],[582,2184,2185],{"xmlns":584},[586,2186,2187,2201],{},[589,2188,2189,2191,2193,2195,2197,2199],{},[592,2190,639],{},[644,2192,723],{"stretchy":722},[731,2194,733],{},[644,2196,736],{},[731,2198,906],{},[644,2200,746],{"stretchy":722},[596,2202,2203],{"encoding":598},"A(1 \\mid 2)",[573,2205,2207,2231],{"className":2206,"ariaHidden":603},[602],[573,2208,2210,2213,2216,2219,2222,2225,2228],{"className":2209},[607],[573,2211],{"className":2212,"style":759},[611],[573,2214,639],{"className":2215},[616,617],[573,2217,723],{"className":2218},[766],[573,2220,733],{"className":2221},[616],[573,2223],{"className":2224,"style":823},[822],[573,2226,736],{"className":2227},[827],[573,2229],{"className":2230,"style":823},[822],[573,2232,2234,2237,2240],{"className":2233},[607],[573,2235],{"className":2236,"style":759},[611],[573,2238,906],{"className":2239},[616],[573,2241,746],{"className":2242},[882]," und der Mittelpunkt ",[573,2245,2247,2272],{"className":2246},[576],[573,2248,2250],{"className":2249},[580],[582,2251,2252],{"xmlns":584},[586,2253,2254,2269],{},[589,2255,2256,2258,2260,2262,2264,2267],{},[592,2257,594],{},[644,2259,723],{"stretchy":722},[731,2261,1369],{},[644,2263,736],{},[731,2265,2266],{},"0",[644,2268,746],{"stretchy":722},[596,2270,2271],{"encoding":598},"M(4 \\mid 0)",[573,2273,2275,2299],{"className":2274,"ariaHidden":603},[602],[573,2276,2278,2281,2284,2287,2290,2293,2296],{"className":2277},[607],[573,2279],{"className":2280,"style":759},[611],[573,2282,594],{"className":2283,"style":618},[616,617],[573,2285,723],{"className":2286},[766],[573,2288,1369],{"className":2289},[616],[573,2291],{"className":2292,"style":823},[822],[573,2294,736],{"className":2295},[827],[573,2297],{"className":2298,"style":823},[822],[573,2300,2302,2305,2308],{"className":2301},[607],[573,2303],{"className":2304,"style":759},[611],[573,2306,2266],{"className":2307},[616],[573,2309,746],{"className":2310},[882],". Von ",[573,2313,2315,2328],{"className":2314},[576],[573,2316,2318],{"className":2317},[580],[582,2319,2320],{"xmlns":584},[586,2321,2322,2326],{},[589,2323,2324],{},[592,2325,639],{},[596,2327,639],{"encoding":598},[573,2329,2331],{"className":2330,"ariaHidden":603},[602],[573,2332,2334,2337],{"className":2333},[607],[573,2335],{"className":2336,"style":612},[611],[573,2338,639],{"className":2339},[616,617]," nach ",[573,2342,2344,2357],{"className":2343},[576],[573,2345,2347],{"className":2346},[580],[582,2348,2349],{"xmlns":584},[586,2350,2351,2355],{},[589,2352,2353],{},[592,2354,594],{},[596,2356,594],{"encoding":598},[573,2358,2360],{"className":2359,"ariaHidden":603},[602],[573,2361,2363,2366],{"className":2362},[607],[573,2364],{"className":2365,"style":612},[611],[573,2367,594],{"className":2368,"style":618},[616,617]," geht es ",[573,2371,2373,2386],{"className":2372},[576],[573,2374,2376],{"className":2375},[580],[582,2377,2378],{"xmlns":584},[586,2379,2380,2384],{},[589,2381,2382],{},[731,2383,1374],{},[596,2385,1374],{"encoding":598},[573,2387,2389],{"className":2388,"ariaHidden":603},[602],[573,2390,2392,2395],{"className":2391},[607],[573,2393],{"className":2394,"style":1063},[611],[573,2396,1374],{"className":2397},[616]," nach rechts und ",[573,2400,2402,2415],{"className":2401},[576],[573,2403,2405],{"className":2404},[580],[582,2406,2407],{"xmlns":584},[586,2408,2409,2413],{},[589,2410,2411],{},[731,2412,906],{},[596,2414,906],{"encoding":598},[573,2416,2418],{"className":2417,"ariaHidden":603},[602],[573,2419,2421,2424],{"className":2420},[607],[573,2422],{"className":2423,"style":1063},[611],[573,2425,906],{"className":2426},[616]," nach unten, von ",[573,2429,2431,2444],{"className":2430},[576],[573,2432,2434],{"className":2433},[580],[582,2435,2436],{"xmlns":584},[586,2437,2438,2442],{},[589,2439,2440],{},[592,2441,594],{},[596,2443,594],{"encoding":598},[573,2445,2447],{"className":2446,"ariaHidden":603},[602],[573,2448,2450,2453],{"className":2449},[607],[573,2451],{"className":2452,"style":612},[611],[573,2454,594],{"className":2455,"style":618},[616,617],[573,2457,2459,2472],{"className":2458},[576],[573,2460,2462],{"className":2461},[580],[582,2463,2464],{"xmlns":584},[586,2465,2466,2470],{},[589,2467,2468],{},[592,2469,642],{},[596,2471,642],{"encoding":598},[573,2473,2475],{"className":2474,"ariaHidden":603},[602],[573,2476,2478,2481],{"className":2477},[607],[573,2479],{"className":2480,"style":612},[611],[573,2482,642],{"className":2483,"style":693},[616,617]," noch einmal genauso weit. Also ist ",[573,2486,2488,2515],{"className":2487},[576],[573,2489,2491],{"className":2490},[580],[582,2492,2493],{"xmlns":584},[586,2494,2495,2512],{},[589,2496,2497,2499,2501,2504,2506,2508,2510],{},[592,2498,642],{},[644,2500,723],{"stretchy":722},[731,2502,2503],{},"7",[644,2505,736],{},[644,2507,1693],{},[731,2509,906],{},[644,2511,746],{"stretchy":722},[596,2513,2514],{"encoding":598},"B(7 \\mid -2)",[573,2516,2518,2542],{"className":2517,"ariaHidden":603},[602],[573,2519,2521,2524,2527,2530,2533,2536,2539],{"className":2520},[607],[573,2522],{"className":2523,"style":759},[611],[573,2525,642],{"className":2526,"style":693},[616,617],[573,2528,723],{"className":2529},[766],[573,2531,2503],{"className":2532},[616],[573,2534],{"className":2535,"style":823},[822],[573,2537,736],{"className":2538},[827],[573,2540],{"className":2541,"style":823},[822],[573,2543,2545,2548,2551,2554],{"className":2544},[607],[573,2546],{"className":2547,"style":759},[611],[573,2549,1693],{"className":2550},[616],[573,2552,906],{"className":2553},[616],[573,2555,746],{"className":2556},[882],". Probe: ",[573,2559,2561,2589],{"className":2560},[576],[573,2562,2564],{"className":2563},[580],[582,2565,2566],{"xmlns":584},[586,2567,2568,2586],{},[589,2569,2570,2582,2584],{},[1323,2571,2572,2580],{},[589,2573,2574,2576,2578],{},[731,2575,733],{},[644,2577,1331],{},[731,2579,2503],{},[731,2581,906],{},[644,2583,1362],{},[731,2585,1369],{},[596,2587,2588],{"encoding":598},"\\frac{1 + 7}{2} = 4",[573,2590,2592,2686],{"className":2591,"ariaHidden":603},[602],[573,2593,2595,2599,2677,2680,2683],{"className":2594},[607],[573,2596],{"className":2597,"style":2598},[611],"height:1.1901em;vertical-align:-0.345em;",[573,2600,2602,2605,2674],{"className":2601},[616],[573,2603],{"className":2604},[766,1416],[573,2606,2608],{"className":2607},[1323],[573,2609,2611,2665],{"className":2610},[667,780],[573,2612,2614,2662],{"className":2613},[671],[573,2615,2618,2633,2641],{"className":2616,"style":2617},[675],"height:0.8451em;",[573,2619,2621,2624],{"style":2620},"top:-2.655em;",[573,2622],{"className":2623,"style":683},[682],[573,2625,2627],{"className":2626},[798,799,800,801],[573,2628,2630],{"className":2629},[616,801],[573,2631,906],{"className":2632},[616,801],[573,2634,2635,2638],{"style":1444},[573,2636],{"className":2637,"style":683},[682],[573,2639],{"className":2640,"style":704},[1451],[573,2642,2644,2647],{"style":2643},"top:-3.394em;",[573,2645],{"className":2646,"style":683},[682],[573,2648,2650],{"className":2649},[798,799,800,801],[573,2651,2653,2656,2659],{"className":2652},[616,801],[573,2654,733],{"className":2655},[616,801],[573,2657,1331],{"className":2658},[1471,801],[573,2660,2503],{"className":2661},[616,801],[573,2663,809],{"className":2664},[808],[573,2666,2668],{"className":2667},[671],[573,2669,2672],{"className":2670,"style":2671},[675],"height:0.345em;",[573,2673],{},[573,2675],{"className":2676},[882,1416],[573,2678],{"className":2679,"style":823},[822],[573,2681,1362],{"className":2682},[827],[573,2684],{"className":2685,"style":823},[822],[573,2687,2689,2692],{"className":2688},[607],[573,2690],{"className":2691,"style":1063},[611],[573,2693,1369],{"className":2694},[616],[573,2696,2698,2732],{"className":2697},[576],[573,2699,2701],{"className":2700},[580],[582,2702,2703],{"xmlns":584},[586,2704,2705,2729],{},[589,2706,2707,2725,2727],{},[1323,2708,2709,2723],{},[589,2710,2711,2713,2715,2717,2719,2721],{},[731,2712,906],{},[644,2714,1331],{},[644,2716,723],{"stretchy":722},[644,2718,1693],{},[731,2720,906],{},[644,2722,746],{"stretchy":722},[731,2724,906],{},[644,2726,1362],{},[731,2728,2266],{},[596,2730,2731],{"encoding":598},"\\frac{2 + (-2)}{2} = 0",[573,2733,2735,2836],{"className":2734,"ariaHidden":603},[602],[573,2736,2738,2742,2827,2830,2833],{"className":2737},[607],[573,2739],{"className":2740,"style":2741},[611],"height:1.355em;vertical-align:-0.345em;",[573,2743,2745,2748,2824],{"className":2744},[616],[573,2746],{"className":2747},[766,1416],[573,2749,2751],{"className":2750},[1323],[573,2752,2754,2816],{"className":2753},[667,780],[573,2755,2757,2813],{"className":2756},[671],[573,2758,2761,2775,2783],{"className":2759,"style":2760},[675],"height:1.01em;",[573,2762,2763,2766],{"style":2620},[573,2764],{"className":2765,"style":683},[682],[573,2767,2769],{"className":2768},[798,799,800,801],[573,2770,2772],{"className":2771},[616,801],[573,2773,906],{"className":2774},[616,801],[573,2776,2777,2780],{"style":1444},[573,2778],{"className":2779,"style":683},[682],[573,2781],{"className":2782,"style":704},[1451],[573,2784,2786,2789],{"style":2785},"top:-3.485em;",[573,2787],{"className":2788,"style":683},[682],[573,2790,2792],{"className":2791},[798,799,800,801],[573,2793,2795,2798,2801,2804,2807,2810],{"className":2794},[616,801],[573,2796,906],{"className":2797},[616,801],[573,2799,1331],{"className":2800},[1471,801],[573,2802,723],{"className":2803},[766,801],[573,2805,1693],{"className":2806},[616,801],[573,2808,906],{"className":2809},[616,801],[573,2811,746],{"className":2812},[882,801],[573,2814,809],{"className":2815},[808],[573,2817,2819],{"className":2818},[671],[573,2820,2822],{"className":2821,"style":2671},[675],[573,2823],{},[573,2825],{"className":2826},[882,1416],[573,2828],{"className":2829,"style":823},[822],[573,2831,1362],{"className":2832},[827],[573,2834],{"className":2835,"style":823},[822],[573,2837,2839,2842],{"className":2838},[607],[573,2840],{"className":2841,"style":1063},[611],[573,2843,2266],{"className":2844},[616],".",[559,2847,2849],{"id":2848},"typische-fehler","Typische Fehler",[2851,2852,2853,3059,3062],"ul",{},[2854,2855,2856,2857,3058],"li",{},"Differenz statt Summe bilden: ",[573,2858,2860,2892],{"className":2859},[576],[573,2861,2863],{"className":2862},[580],[582,2864,2865],{"xmlns":584},[586,2866,2867,2889],{},[589,2868,2869],{},[1323,2870,2871,2887],{},[589,2872,2873,2879,2881],{},[725,2874,2875,2877],{},[592,2876,729],{},[731,2878,906],{},[644,2880,1693],{},[725,2882,2883,2885],{},[592,2884,729],{},[731,2886,733],{},[731,2888,906],{},[596,2890,2891],{"encoding":598},"\\frac{x_2 - x_1}{2}",[573,2893,2895],{"className":2894,"ariaHidden":603},[602],[573,2896,2898,2902],{"className":2897},[607],[573,2899],{"className":2900,"style":2901},[611],"height:1.1634em;vertical-align:-0.345em;",[573,2903,2905,2908,3055],{"className":2904},[616],[573,2906],{"className":2907},[766,1416],[573,2909,2911],{"className":2910},[1323],[573,2912,2914,3047],{"className":2913},[667,780],[573,2915,2917,3044],{"className":2916},[671],[573,2918,2921,2935,2943],{"className":2919,"style":2920},[675],"height:0.8184em;",[573,2922,2923,2926],{"style":2620},[573,2924],{"className":2925,"style":683},[682],[573,2927,2929],{"className":2928},[798,799,800,801],[573,2930,2932],{"className":2931},[616,801],[573,2933,906],{"className":2934},[616,801],[573,2936,2937,2940],{"style":1444},[573,2938],{"className":2939,"style":683},[682],[573,2941],{"className":2942,"style":704},[1451],[573,2944,2946,2949],{"style":2945},"top:-3.4101em;",[573,2947],{"className":2948,"style":683},[682],[573,2950,2952],{"className":2951},[798,799,800,801],[573,2953,2955,3001,3004],{"className":2954},[616,801],[573,2956,2958,2961],{"className":2957},[616,801],[573,2959,729],{"className":2960},[616,617,801],[573,2962,2964],{"className":2963},[776],[573,2965,2967,2992],{"className":2966},[667,780],[573,2968,2970,2989],{"className":2969},[671],[573,2971,2974],{"className":2972,"style":2973},[675],"height:0.3173em;",[573,2975,2977,2981],{"style":2976},"top:-2.357em;margin-left:0em;margin-right:0.0714em;",[573,2978],{"className":2979,"style":2980},[682],"height:2.5em;",[573,2982,2986],{"className":2983},[798,2984,2985,801],"reset-size3","size1",[573,2987,906],{"className":2988},[616,801],[573,2990,809],{"className":2991},[808],[573,2993,2995],{"className":2994},[671],[573,2996,2999],{"className":2997,"style":2998},[675],"height:0.143em;",[573,3000],{},[573,3002,1693],{"className":3003},[1471,801],[573,3005,3007,3010],{"className":3006},[616,801],[573,3008,729],{"className":3009},[616,617,801],[573,3011,3013],{"className":3012},[776],[573,3014,3016,3036],{"className":3015},[667,780],[573,3017,3019,3033],{"className":3018},[671],[573,3020,3022],{"className":3021,"style":2973},[675],[573,3023,3024,3027],{"style":2976},[573,3025],{"className":3026,"style":2980},[682],[573,3028,3030],{"className":3029},[798,2984,2985,801],[573,3031,733],{"className":3032},[616,801],[573,3034,809],{"className":3035},[808],[573,3037,3039],{"className":3038},[671],[573,3040,3042],{"className":3041,"style":2998},[675],[573,3043],{},[573,3045,809],{"className":3046},[808],[573,3048,3050],{"className":3049},[671],[573,3051,3053],{"className":3052,"style":2671},[675],[573,3054],{},[573,3056],{"className":3057},[882,1416]," ist die halbe Breite der Strecke, nicht die x-Koordinate des Mittelpunkts.",[2854,3060,3061],{},"x- und y-Koordinaten mischen: Immer nur x-Werte miteinander und y-Werte miteinander verrechnen.",[2854,3063,3064,3065,883,3093,3121,3122,3201],{},"Beim fehlenden Endpunkt einfach 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koordinatenweise.",{"title":3203,"searchDepth":3204,"depth":3204,"links":3205},"",2,[3206,3207,3208],{"id":561,"depth":3204,"text":562},{"id":1159,"depth":3204,"text":1160},{"id":2848,"depth":3204,"text":2849},[3210,3213,3215,3217,3219,3221,3223,3225,3228,3230],{"lhs":3211,"rhs":3212},"sqrt(((x1 + x2)\u002F2 - x1)^2 + ((y1 + y2)\u002F2 - y1)^2)","sqrt((x2 - (x1 + x2)\u002F2)^2 + (y2 - (y1 + y2)\u002F2)^2)",{"lhs":3211,"rhs":3214},"sqrt((x2 - x1)^2 + (y2 - y1)^2) \u002F 2",{"lhs":3216,"rhs":1369},"(2 + 6)\u002F2",{"lhs":3218,"rhs":1374},"(1 + 5)\u002F2",{"lhs":3220,"rhs":733},"(-3 + 5)\u002F2",{"lhs":3222,"rhs":733},"(4 + (-2))\u002F2",{"lhs":3224,"rhs":2503},"2*4 - 1",{"lhs":3226,"rhs":3227},"2*0 - 2","-2",{"lhs":3229,"rhs":1369},"(1 + 7)\u002F2",{"lhs":3231,"rhs":2266},"(2 + (-2))\u002F2",null,"md",{"caption":3235,"x":3236,"y":3239,"unit":3241,"axes":3242,"items":3243},"Der Mittelpunkt M(4 | 3) liegt genau in der Mitte der Strecke von A(2 | 1) nach B(6 | 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