[{"data":1,"prerenderedAt":80},["ShallowReactive",2],{"\u002Fpublic\u002Ftopics\u002Fgeometria\u002Fconjuntos-convexos?{}":3,"topics-with-content:geometria":65},{"course":4,"topic":12,"counts":17,"universities":19,"channels":25,"sampleQuestions":26,"sameName":64},{"id":5,"slug":6,"name":7,"shortName":8,"area":9,"icon":10,"sortOrder":11},3,"geometria","Geometría","Geom.","math","i-lucide-triangle",2,{"id":13,"courseId":5,"slug":14,"name":15,"sortOrder":16},314,"conjuntos-convexos","Conjuntos convexos",13,{"topicId":13,"courseId":5,"questions":5,"classes":18,"videos":18,"minutes":18},0,[20],{"universityId":11,"questions":5,"years":21},[22,23,24],2025,2024,2023,[],[27,51],{"id":28,"courseId":5,"topicId":13,"pastExamId":29,"stem":30,"options":31,"correctKey":42,"explanation":47,"difficulty":5,"status":48,"source":49,"stats":50},1288,192,"Determine si la proposición es verdadera (V) o falsa (F).\nI. Si R$_{1}$ es una región determinada por un triángulo y R$_{2}$ es el círculo inscrito en dicho triángulo, entonces R$_{1}$ – R$_{2}$ es un conjunto convexo.\nII. El vacío es un conjunto convexo.\nIII. Un punto es un conjunto convexo.\n\nIndique la secuencia correcta.",[32,35,38,41,44],{"key":33,"text":34},"A","VVV",{"key":36,"text":37},"B","VVF",{"key":39,"text":40},"C","VFV",{"key":42,"text":43},"D","FVV",{"key":45,"text":46},"E","FFF","","published","UNI 2025-1 · Matemática",{"attempts":18,"accuracy":18},{"id":52,"courseId":5,"topicId":13,"pastExamId":53,"stem":54,"options":55,"correctKey":33,"explanation":47,"difficulty":5,"status":48,"source":62,"stats":63},949,186,"Indique el valor de verdad (V) o falsedad (F) de las siguientes proposiciones:\nI. Un triángulo $ABC$ está contenido en un plano $\\mathscr{P}$, entonces el triángulo $ABC$ separa al plano $\\mathscr{P}$ en dos conjuntos convexos.\nII. Si el rayo $\\overrightarrow{OC}$ es bisectriz del ángulo $AOB$, entonces $\\overrightarrow{OC}$ es un conjunto convexo.\nIII. Si $R$ es la región triangular $ABC$ de la cual se ha extraído un punto $P$, entonces $R-\\{P\\}$ es un conjunto convexo.",[56,58,59,60,61],{"key":33,"text":57},"FVF",{"key":36,"text":46},{"key":39,"text":34},{"key":42,"text":37},{"key":45,"text":43},"UNI 2024-1 · Matemática",{"attempts":18,"accuracy":18},[],[66,67,68,69,70,71,72,73,74,75,76,77,78,13,79],301,302,303,304,305,306,307,308,309,310,311,312,313,315,1791501527178]