{"id":843,"date":"2026-04-22T00:35:00","date_gmt":"2026-04-21T21:35:00","guid":{"rendered":"https:\/\/www.riyaziyeci.com\/?page_id=843"},"modified":"2026-04-22T00:35:02","modified_gmt":"2026-04-21T21:35:02","slug":"analitik-geometri-genel-degerlendirme","status":"publish","type":"page","link":"https:\/\/www.riyaziyeci.com\/?page_id=843","title":{"rendered":"Analitik Geometri Genel De\u011ferlendirme"},"content":{"rendered":"    <style>\n        .ra-wrapper { max-width: 850px; margin: 40px auto; font-family: 'Segoe UI', Tahoma, Arial, sans-serif; background: #fff; border: 1px solid #e1e4e8; box-shadow: 0 12px 35px rgba(0,0,0,0.08); border-radius: 14px; overflow: hidden; }\n        .ra-header { background: linear-gradient(135deg, #111827 0%, #374151 100%); text-align: center; padding: 25px 20px; color: #fff; position: relative; border-bottom: 4px solid #0284c7; }\n        .ra-logo { max-width: 150px; display: block; margin: 0 auto 10px; background: #fff; padding: 8px; border-radius: 6px; 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color: #111827; margin-bottom: 20px;\">VIP Analitik Check-Up Raporu<\/h3>\n            <div class=\"ra-radar\">\n                <div class=\"ra-metric\"><span>Genel Net<\/span><strong id=\"ra-score\">0\/50<\/strong><\/div>\n                <div class=\"ra-metric\"><span>Cebirsel Yorum<\/span><strong id=\"ra-analytic\">-<\/strong><\/div>\n                <div class=\"ra-metric\"><span>Uzamsal Mant\u0131k<\/span><strong id=\"ra-focus\">-<\/strong><\/div>\n                <div class=\"ra-metric\"><span>\u00d6SYM Potansiyeli<\/span><strong id=\"ra-spatial\">-<\/strong><\/div>\n            <\/div>\n            <div class=\"ra-summary\" id=\"ra-summary\"><\/div>\n        <\/div>\n    <\/div>\n\n    <script type=\"text\/javascript\">\n        document.addEventListener('DOMContentLoaded', function() {\n            \/\/ Dinamik Koordinat \u00c7izim Motoru (Orant\u0131l\u0131 ve \u0130nce)\n            function drawMath(d) {\n                var s = '<svg class=\"ra-diagram\" viewBox=\"0 0 120 100\"><defs><marker id=\"ar\" viewBox=\"0 0 10 10\" refX=\"5\" refY=\"5\" markerWidth=\"4\" markerHeight=\"4\" orient=\"auto-startReverse\"><path d=\"M 0 0 L 10 5 L 0 10 z\" fill=\"#888\"\/><\/marker><\/defs>';\n                s += '<line x1=\"5\" y1=\"50\" x2=\"115\" y2=\"50\" stroke=\"#cbd5e1\" stroke-width=\"1.2\" marker-end=\"url(#ar)\"\/><text x=\"112\" y=\"46\" font-size=\"6\" font-weight=\"bold\" fill=\"#64748b\">x<\/text>';\n                s += '<line x1=\"60\" y1=\"95\" x2=\"60\" y2=\"5\" stroke=\"#cbd5e1\" stroke-width=\"1.2\" marker-end=\"url(#ar)\"\/><text x=\"64\" y=\"8\" font-size=\"6\" font-weight=\"bold\" fill=\"#64748b\">y<\/text>';\n                \n                \/\/ Koordinat D\u00f6n\u00fc\u015f\u00fcm Form\u00fcl\u00fc (Merkez: 60,50. \u00d6l\u00e7ek: 1 birim = 2.5px)\n                var mapX = function(x) { return 60 + x * 2.5; 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[AB] yi |AC|\/|BC| = 2\/3 oran\u0131nda i\u00e7ten b\u00f6len C noktas\u0131n\u0131n koordinatlar\u0131 toplam\u0131 ka\u00e7t\u0131r?\", o: [\"10\", \"11\", \"12\", \"13\"], a: 1, v: {p:[[-1, 2, 'A'], [9, 12, 'B (\u00d6l\u00e7ekli)'], [3, 6, 'C', '#ea580c']], l:[[-1, 2, 9, 12, '']]} },\n                { q: \"A(1, 4) ve B(5, 6) olmak \u00fczere [AB] yi d\u0131\u015ftan |AC|\/|BC| = 3 oran\u0131nda b\u00f6len C noktas\u0131n\u0131n apsisi ka\u00e7t\u0131r?\", o: [\"6\", \"7\", \"8\", \"9\"], a: 1, v: {p:[[1, 4, 'A'], [5, 6, 'B'], [7, 7, 'C', '#ea580c']], l:[[1, 4, 7, 7, '']]} },\n                { q: \"K\u00f6\u015feleri A(1, -2), B(-3, 6) ve C(8, 5) olan \u00fc\u00e7genin a\u011f\u0131rl\u0131k merkezinin koordinatlar\u0131 toplam\u0131 ka\u00e7t\u0131r?\", o: [\"3\", \"4\", \"5\", \"6\"], a: 2, v: {poly:[[1, -2], [-3, 6], [8, 5]], p:[[1, -2, 'A'], [-3, 6, 'B'], [8, 5, 'C'], [2, 3, 'G', '#ea580c']]} },\n                { q: \"ABCD paralelkenar\u0131nda A(-1, 3), B(4, 1), C(6, 8) ise D k\u00f6\u015fesinin koordinatlar\u0131 toplam\u0131 ka\u00e7t\u0131r?\", o: [\"9\", \"10\", \"11\", \"12\"], a: 2, v: {poly:[[-1, 3], [4, 1], [6, 8], [1, 10]], p:[[-1, 3, 'A'], [4, 1, 'B'], [6, 8, 'C'], [1, 10, 'D']]} },\n                { q: \"A(0, 4), B(-3, 0) ve C(5, 0) noktalar\u0131n\u0131n olu\u015fturdu\u011fu \u00fc\u00e7genin alan\u0131 ka\u00e7 birimkaredir?\", o: [\"12\", \"14\", \"16\", \"20\"], a: 2, v: {poly:[[0, 4], [-3, 0], [5, 0]], p:[[0, 4, 'A'], [-3, 0, 'B'], [5, 0, 'C']]} },\n                { q: \"A(1, 3), B(2, 5) ve C(x, 11) noktalar\u0131 do\u011frusal (ayn\u0131 do\u011fru \u00fczerinde) ise x ka\u00e7t\u0131r?\", o: [\"3\", \"4\", \"5\", \"6\"], a: 2, v: {p:[[1, 3, 'A'], [2, 5, 'B'], [5, 11, 'C']], l:[[0, 1, 6, 13, '']]} },\n\n                \/\/ B\u00f6l\u00fcm 2\n                { q: \"A(-2, 4) ve B(3, -6) noktalar\u0131ndan ge\u00e7en do\u011frunun e\u011fimi ka\u00e7t\u0131r?\", o: [\"-2\", \"-1\", \"1\", \"2\"], a: 0, v: {p:[[-2, 4, 'A'], [3, -6, 'B']], l:[[-2, 4, 3, -6, '']]} },\n                { q: \"x ekseniyle pozitif y\u00f6nde 135\u00b0 a\u00e7\u0131 yapan ve (2, -1) noktas\u0131ndan ge\u00e7en d do\u011frusunun denklemi nedir?\", o: [\"y = x - 3\", \"y = -x + 1\", \"y = -x + 3\", \"y = x + 1\"], a: 1, v: {p:[[2, -1, 'A']], l:[[-6, 7, 8, -7, 'd']]} },\n                { q: \"d do\u011frusunun denklemi 3x - 4y + 12 = 0 ise bu do\u011frunun e\u011fimi ka\u00e7t\u0131r?\", o: [\"3\/4\", \"-3\/4\", \"4\/3\", \"-4\/3\"], a: 0, v: {l:[[-8, -3, 8, 9, 'd']]} },\n                { q: \"A(-1, 2) ve B(3, 4) noktalar\u0131ndan ge\u00e7en do\u011frunun denklemi hangisidir?\", o: [\"x - 2y + 5 = 0\", \"2x - y + 4 = 0\", \"x + 2y - 3 = 0\", \"2x + y - 5 = 0\"], a: 0, v: {p:[[-1, 2, 'A'], [3, 4, 'B']], l:[[-5, 0, 9, 7, 'd']]} },\n                { q: \"x eksenini 4'te, y eksenini -3'te kesen d do\u011frusunun kapal\u0131 denklemi nedir?\", o: [\"3x - 4y - 12 = 0\", \"4x - 3y + 12 = 0\", \"3x + 4y - 12 = 0\", \"4x + 3y + 12 = 0\"], a: 0, v: {p:[[4, 0, 'x'], [0, -3, 'y']], l:[[-4, -6, 8, 3, 'd']]} },\n                { q: \"d\u2081 do\u011frusu 2x - y + 5 = 0 do\u011frusuna paralel olan ve orijinden ge\u00e7en d\u2082 do\u011frusunun denklemi nedir?\", o: [\"y = -2x\", \"y = 2x\", \"x = 2y\", \"x = -2y\"], a: 1, v: {l:[[-3, -1, 4, 13, 'd1'], [-5, -10, 5, 10, 'd2', '#ea580c']]} },\n                { q: \"d\u2081 do\u011frusu x + 3y - 6 = 0'a dik olan ve K(1, 1) noktas\u0131ndan ge\u00e7en d\u2082 do\u011frusunun y eksenini kesti\u011fi nokta ka\u00e7t\u0131r?\", o: [\"-2\", \"-1\", \"2\", \"3\"], a: 0, v: {p:[[1, 1, 'K', '#ea580c']], l:[[-6, 4, 9, -1, 'd1'], [-2, -8, 4, 10, 'd2', '#ea580c']]} },\n                { q: \"d\u2081: 2x + y = 5 ve d\u2082: x - y = 1 do\u011frular\u0131n\u0131n K kesim noktas\u0131n\u0131n koordinatlar\u0131 \u00e7arp\u0131m\u0131 ka\u00e7t\u0131r?\", o: [\"2\", \"3\", \"4\", \"6\"], a: 0, v: {p:[[2, 1, 'K', '#ea580c']], l:[[-1, 7, 4, -3, 'd1'], [-3, -4, 6, 5, 'd2', '#ea580c']]} },\n                { q: \"d\u2081: y = 2x + 1 ve d\u2082: y = -x + 7 do\u011frular\u0131n\u0131n K kesim noktas\u0131n\u0131n orijine uzakl\u0131\u011f\u0131 ka\u00e7 birimdir?\", o: [\"\u221a13\", \"\u221a17\", \"5\", \"\u221a29\"], a: 3, v: {p:[[2, 5, 'K', '#ea580c']], l:[[-2, -3, 4, 9, 'd1'], [-2, 9, 8, -1, 'd2', '#ea580c']]} },\n                { q: \"d\u2081: (k-1)x + 2y - 4 = 0 ve d\u2082: 3x + ky + 6 = 0 do\u011frular\u0131 birbirine paralel ise k'n\u0131n pozitif de\u011feri ka\u00e7t\u0131r?\", o: [\"2\", \"3\", \"4\", \"6\"], a: 1, v: {l:[[-4, -2, 6, 13, 'd1'], [-2, -5, 8, 10, 'd2', '#ea580c']]} },\n                { q: \"Orijinden ve A(4, -2) noktas\u0131ndan ge\u00e7en do\u011frunun denklemi a\u015fa\u011f\u0131dakilerden hangisidir?\", o: [\"x + 2y = 0\", \"2x + y = 0\", \"x - 2y = 0\", \"2x - y = 0\"], a: 0, v: {p:[[0, 0, 'O'], [4, -2, 'A']], l:[[-8, 4, 10, -5, 'd']]} },\n                { q: \"d do\u011frusu 3x - 4y + 24 = 0'\u0131n eksenlerle olu\u015fturdu\u011fu kapal\u0131 b\u00f6lgenin alan\u0131 ka\u00e7 birimkaredir?\", o: [\"12\", \"18\", \"24\", \"36\"], a: 2, v: {poly:[[0, 0], [0, 6], [-8, 0]], p:[[0, 6, 'y'], [-8, 0, 'x']]} },\n                { q: \"d\u2081: y = \u221a3x + 5 ve d\u2082: y = x - 2 do\u011frular\u0131n\u0131n K noktas\u0131nda kesi\u015fti\u011fi dar a\u00e7\u0131n\u0131n \u00f6l\u00e7\u00fcs\u00fc ka\u00e7 derecedir?\", o: [\"15\", \"30\", \"45\", \"60\"], a: 0, v: {p:[[-2, 1.5, 'K', '#ea580c']], l:[[-4, -2, 0, 5, 'd1'], [-6, -8, 6, 4, 'd2', '#ea580c']]} },\n                { q: \"Parametrik denklemleri x = t + 2, y = 3t - 1 olan d do\u011frusunun e\u011fimi ka\u00e7t\u0131r?\", o: [\"1\/3\", \"1\", \"2\", \"3\"], a: 3, v: {l:[[0, -7, 5, 8, 'd']]} },\n                { q: \"d\u2081: ax + 3y - 6 = 0 ve d\u2082: 2x - by + 4 = 0 do\u011frular\u0131 \u00e7ak\u0131\u015f\u0131k ise a+b toplam\u0131 ka\u00e7t\u0131r?\", o: [\"-5\", \"-1\", \"1\", \"5\"], a: 0, v: {l:[[-4, -3, 6, 12, 'd1 \/ d2']]} },\n\n                \/\/ B\u00f6l\u00fcm 3\n                { q: \"A(1, 2) noktas\u0131n\u0131n d do\u011frusu 3x + 4y + 9 = 0'a olan uzakl\u0131\u011f\u0131 ka\u00e7 birimdir?\", o: [\"2\", \"3\", \"4\", \"5\"], a: 2, d: s_Ad },\n                { q: \"d\u2081: 5x - 12y + 10 = 0 ve d\u2082: 5x - 12y - 16 = 0 paralel do\u011frular\u0131 aras\u0131ndaki uzakl\u0131k ka\u00e7 birimdir?\", o: [\"1\", \"2\", \"3\", \"4\"], a: 1, v: {l:[[-4, -0.8, 8, 4.1, 'd1'], [-4, -3, 8, 2, 'd2', '#ea580c']]} },\n                { q: \"A(2, -3) noktas\u0131n\u0131n K merkezine g\u00f6re simetri\u011fi A'(-4, 11) noktas\u0131d\u0131r. Buna g\u00f6re K noktas\u0131n\u0131n koordinatlar\u0131 toplam\u0131 ka\u00e7t\u0131r?\", o: [\"1\", \"3\", \"5\", \"7\"], a: 1, v: {p:[[2, -3, 'A'], [-1, 4, 'K'], [-4, 11, 'A\\'', '#ea580c']], l:[[2, -3, -4, 11, '']]} },\n                { q: \"A(4, -5) noktas\u0131n\u0131n y eksenine g\u00f6re simetri\u011fi A' noktas\u0131 ise |AA'| ka\u00e7 birimdir?\", o: [\"4\", \"8\", \"10\", \"12\"], a: 1, v: {p:[[4, -5, 'A'], [-4, -5, 'A\\'', '#ea580c']], l:[[4, -5, -4, -5, '']]} },\n                { q: \"A(-3, 6) noktas\u0131n\u0131n orijine g\u00f6re simetri\u011fi A' noktas\u0131d\u0131r. A' noktas\u0131n\u0131n koordinatlar\u0131 \u00e7arp\u0131m\u0131 ka\u00e7t\u0131r?\", o: [\"-18\", \"18\", \"-36\", \"36\"], a: 0, v: {p:[[-3, 6, 'A'], [0, 0, 'O'], [3, -6, 'A\\'', '#ea580c']], l:[[-3, 6, 3, -6, '']]} },\n                { q: \"A(2, 5) noktas\u0131n\u0131n y = x do\u011frusuna g\u00f6re simetri\u011fi olan A' noktas\u0131n\u0131n x eksenine uzakl\u0131\u011f\u0131 ka\u00e7 birimdir?\", o: [\"2\", \"3\", \"5\", \"7\"], a: 0, v: {p:[[2, 5, 'A'], [5, 2, 'A\\'', '#ea580c']], l:[[-8, -8, 10, 10, 'y=x']]} },\n                { q: \"A(1, -2) noktas\u0131n\u0131n y = -x do\u011frusuna g\u00f6re simetri\u011fi olan A' noktas\u0131 hangi b\u00f6lgededir?\", o: [\"I. B\u00f6lge\", \"II. B\u00f6lge\", \"III. B\u00f6lge\", \"IV. B\u00f6lge\"], a: 0, v: {p:[[1, -2, 'A'], [2, -1, 'A\\'', '#ea580c']], l:[[-8, 8, 10, -10, 'y=-x']]} },\n                { q: \"A(-2, 3) noktas\u0131n\u0131n x = 4 do\u011frusuna g\u00f6re simetri\u011fi olan A' noktas\u0131n\u0131n apsisi ka\u00e7t\u0131r?\", o: [\"6\", \"8\", \"10\", \"12\"], a: 2, v: {p:[[-2, 3, 'A'], [10, 3, 'A\\'', '#ea580c']], l:[[4, -8, 4, 12, 'x=4']]} },\n                { q: \"d\u2081: 2x - y + 4 = 0 do\u011frusunun orijine g\u00f6re simetri\u011fi olan d\u2082 do\u011frusunun denklemi nedir?\", o: [\"2x - y - 4 = 0\", \"2x + y - 4 = 0\", \"-2x - y + 4 = 0\", \"x - 2y - 4 = 0\"], a: 0, v: {l:[[-3, -2, 3, 10, 'd1'], [-1, -6, 5, 6, 'd2', '#ea580c']]} },\n                { q: \"d\u2081: y = 3x - 2 do\u011frusunun x eksenine g\u00f6re simetri\u011fi olan d\u2082 do\u011frusunun e\u011fimi ka\u00e7t\u0131r?\", o: [\"-3\", \"-1\/3\", \"1\/3\", \"3\"], a: 0, v: {l:[[-1, -5, 3, 7, 'd1'], [-1, 5, 3, -7, 'd2', '#ea580c']]} },\n                { q: \"d\u2081: x + 2y - 6 = 0 do\u011frusunun y = x do\u011frusuna g\u00f6re simetri\u011fi olan d\u2082 do\u011frusu y eksenini hangi noktada keser?\", o: [\"2\", \"3\", \"4\", \"6\"], a: 3, v: {l:[[-2, 4, 10, -2, 'd1'], [-2, 10, 4, -2, 'd2', '#ea580c']]} },\n                { q: \"A(2, k) noktas\u0131n\u0131n d do\u011frusu 3x - 4y + 5 = 0'a uzakl\u0131\u011f\u0131 3 birim ise k'n\u0131n alabilece\u011fi pozitif de\u011fer ka\u00e7t\u0131r?\", o: [\"1\", \"2\", \"4\", \"6.5\"], a: 3, d: s_Ad },\n                { q: \"A(1, 3) noktas\u0131n\u0131n y = x + 4 do\u011frusuna g\u00f6re simetri\u011fi olan A' noktas\u0131 a\u015fa\u011f\u0131dakilerden hangisidir?\", o: [\"(-1, 5)\", \"(0, 6)\", \"(-2, 4)\", \"(2, 2)\"], a: 0, v: {p:[[1, 3, 'A'], [-1, 5, 'A\\'', '#ea580c']], l:[[-6, -2, 6, 10, 'd']]} },\n                { q: \"d\u2081: x=3 ve d\u2082: y=-2 do\u011frular\u0131n\u0131n K kesi\u015fim noktas\u0131n\u0131n orijine uzakl\u0131\u011f\u0131 ka\u00e7 birimdir?\", o: [\"\u221a5\", \"\u221a13\", \"5\", \"13\"], a: 1, v: {p:[[3, -2, 'K', '#ea580c']], l:[[3, -8, 3, 8, 'd1'], [-8, -2, 10, -2, 'd2', '#ea580c']]} },\n                { q: \"A(a, b) noktas\u0131n\u0131n x eksenine g\u00f6re simetri\u011fi A' noktas\u0131 y=x do\u011frusu \u00fczerinde ise, A noktas\u0131 hangi do\u011fru \u00fczerindedir?\", o: [\"y = -x\", \"y = x\", \"y = 2x\", \"x = 0\"], a: 0, v: {p:[[-4, 4, 'A'], [-4, -4, 'A\\'']], l:[[-8, -8, 8, 8, 'y=x']]} },\n\n                \/\/ B\u00f6l\u00fcm 4\n                { q: \"Analitik d\u00fczlemde d\u2081 ve d\u2082 do\u011frular\u0131n\u0131n olu\u015fturdu\u011fu x \u2265 0, y \u2265 0 ve x + y \u2264 4 e\u015fitsizlik sisteminin belirtti\u011fi alan ka\u00e7 birimkaredir?\", o: [\"4\", \"8\", \"12\", \"16\"], a: 1, d: s_d1d2K },\n                { q: \"Bir radar ekran\u0131nda A(-20, 15) noktas\u0131ndaki bir gemi, saniyede v=(3, -4) vekt\u00f6r\u00fc y\u00f6n\u00fcnde hareket etmektedir. 5 saniye sonra geminin orijine uzakl\u0131\u011f\u0131 ka\u00e7 birim olur?\", o: [\"5\", \"5\u221a2\", \"10\", \"13\"], a: 1, v: {p:[[-10, 7.5, 'A (\u00d6l\u00e7ekli)'], [-2.5, -2.5, 'Son Konum', '#ea580c']], l:[[-10, 7.5, -2.5, -2.5, 'v']]} },\n                { q: \"K\u00f6\u015feleri A(0,0), B(6,0), C(6,4), D(0,4) olan dikd\u00f6rtgen x ekseni boyunca +2, y ekseni boyunca +1 \u00f6teleniyor. Ba\u015flang\u0131\u00e7taki a\u011f\u0131rl\u0131k merkezi G(3,2) ise yeni merkez nedir?\", o: [\"(4, 3)\", \"(5, 3)\", \"(6, 4)\", \"(3, 2)\"], a: 1, v: {poly:[[0, 0], [6, 0], [6, 4], [0, 4]], p:[[3, 2, 'G'], [5, 3, 'G\\'', '#ea580c']], l:[[3, 2, 5, 3, 'v', '#ea580c']]} },\n                { q: \"Bir \u0131\u015f\u0131n A(0, 5) noktas\u0131ndan \u00e7\u0131k\u0131p x ekseninde k\u0131r\u0131larak B(8,3) noktas\u0131na gidiyor. Toplam yolun en k\u0131sa olmas\u0131 i\u00e7in yans\u0131d\u0131\u011f\u0131 noktan\u0131n apsisi ka\u00e7 olmal\u0131d\u0131r?\", o: [\"3\", \"4\", \"5\", \"6\"], a: 2, d: s_AAp },\n                { q: \"A(3, 4) noktas\u0131 orijin etraf\u0131nda saatin tersi y\u00f6n\u00fcnde 90\u00b0 d\u00f6nd\u00fcr\u00fcl\u00fcrse olu\u015fan yeni nokta A' olur. A' koordinatlar\u0131 nedir?\", o: [\"(4, -3)\", \"(-4, 3)\", \"(-3, -4)\", \"(4, 3)\"], a: 1, d: s_AAp },\n                { q: \"d\u2081: x - y + 2 \u2265 0 ve d\u2082: x + y - 4 \u2264 0 e\u015fitsizliklerini sa\u011flayan K kesi\u015fim b\u00f6lgesi y eksenini hangi aral\u0131kta keser?\", o: [\"[-2, 4]\", \"[2, 4]\", \"[0, 4]\", \"[-4, 2]\"], a: 0, v: {poly:[[-2, 0], [0, 2], [1, 3], [4, 0], [0, 0]], l:[[-4, -2, 6, 8, 'd1'], [-2, 6, 8, -4, 'd2', '#ea580c']]} },\n                { q: \"A(2, 1) noktas\u0131ndan ge\u00e7en d do\u011frusunun koordinat eksenleriyle 1. b\u00f6lgede olu\u015fturdu\u011fu \u00fc\u00e7genin alan\u0131 en az oldu\u011funda x eksenini kesti\u011fi nokta ka\u00e7t\u0131r?\", o: [\"2\", \"3\", \"4\", \"6\"], a: 2, d: s_Ad },\n                { q: \"Dik koordinat sisteminde k\u00f6\u015feleri A, B, C, D olan bir karenin alan\u0131 18 br\u00b2 ise, bir k\u00f6\u015fegen uzunlu\u011fu ka\u00e7t\u0131r?\", o: [\"3\", \"6\", \"9\", \"18\"], a: 1, v: {poly:[[0, 0], [3, 3], [0, 6], [-3, 3]], p:[[0, 0, 'O']]} },\n                { q: \"Harita \u00fczerindeki A(100, 200) noktas\u0131ndan kalkan drone, do\u011frusal u\u00e7arak B(400, 600) noktas\u0131na gidecektir. Yar\u0131 yolda \u015farj\u0131 biten drone'un d\u00fc\u015ft\u00fc\u011f\u00fc noktan\u0131n koordinatlar\u0131 toplam\u0131 ka\u00e7t\u0131r?\", o: [\"450\", \"550\", \"650\", \"750\"], a: 2, d: s_AB },\n                { q: \"Bir usta elindeki dik \u00fc\u00e7gen g\u00f6nyenin dik k\u00f6\u015fesini orijine, dar k\u00f6\u015felerinden birini A(0, 6) noktas\u0131na, di\u011ferini B(k, 0) noktas\u0131na koyuyor. Hipoten\u00fcs 10 ise k ka\u00e7t\u0131r?\", o: [\"6\", \"8\", \"10\", \"12\"], a: 1, d: s_AB }\n            ];\n\n            \/\/ \u015e\u0131klar\u0131 Kar\u0131\u015ft\u0131r\n            for (var k = 0; k < rawData.length; k++) {\n                var correct = rawData[k].o[rawData[k].a];\n                rawData[k].o.sort(function() { return Math.random() - 0.5; });\n                rawData[k].a = rawData[k].o.indexOf(correct);\n            }\n\n            window.raData = rawData;\n            window.raStep = 0;\n            window.raAnswers = new Array(rawData.length).fill(null);\n            window.raTime = 100 * 60;\n            window.raTimerId = null;\n\n            var container = document.getElementById(\"ra-questions-container\");\n            if(container) {\n                var htmlStr = \"\";\n                for (var i = 0; i < rawData.length; i++) {\n                    \/\/ drawMath fonksiyonu ile \u00e7izimi anl\u0131k olu\u015ftur\n                    var diagramSVG = drawMath(rawData[i].v);\n                    \n                    htmlStr += '<div class=\"ra-question-container\" id=\"ra-q-' + i + '\"><div style=\"font-size:13px; color:#6b7280; font-weight:700; margin-bottom:10px;\">TYT\/AYT ANAL\u0130T\u0130K GEOMETR\u0130 - SORU ' + (i + 1) + ' \/ ' + rawData.length + '<\/div><div class=\"ra-diagram-wrapper\">' + diagramSVG + '<\/div><div class=\"ra-q-text\">' + rawData[i].q + '<\/div><div class=\"ra-options\">';\n                    for (var j = 0; j < rawData[i].o.length; j++) {\n                        htmlStr += '<div class=\"ra-opt\" onclick=\"raVIPSelect(' + i + ', ' + j + ', this)\">' + rawData[i].o[j] + '<\/div>';\n                    }\n                    htmlStr += '<\/div><\/div>';\n                }\n                container.innerHTML = htmlStr;\n                raVIPShow(0);\n                \n                var el = document.getElementById(\"ra-timer-display\");\n                window.raTimerId = setInterval(function() {\n                    window.raTime--;\n                    var m = Math.floor(window.raTime \/ 60), s = window.raTime % 60;\n                    el.innerText = (m < 10 ? \"0\"+m : m) + \":\" + (s < 10 ? \"0\"+s : s);\n                    if(window.raTime <= 300) el.classList.add(\"danger\");\n                    if(window.raTime <= 0) {\n                        clearInterval(window.raTimerId); el.innerText = \"00:00\";\n                        setTimeout(function() { alert(\"S\u00fcre doldu! 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