[{"data":1,"prerenderedAt":127},["ShallowReactive",2],{"\u002Fpublic\u002Ftopics\u002Fgeometria\u002Fgeometria-del-espacio?{}":3,"topics-with-content:geometria":112},{"course":4,"topic":12,"counts":17,"universities":22,"channels":34,"sampleQuestions":70,"sameName":111},{"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},309,"geometria-del-espacio","Geometría del espacio",8,{"topicId":13,"courseId":5,"questions":18,"classes":19,"videos":20,"minutes":21},18,194,152,3372,[23,31],{"universityId":11,"questions":24,"years":25},15,[26,27,28,29,30],2026,2025,2024,2023,2022,{"universityId":32,"questions":5,"years":33},1,[27,29,30],[35,38,41,44,46,49,52,54,56,59,62,65,68],{"name":36,"classes":37},"Alberto Cruz",43,{"name":39,"classes":40},"Academia ipluton",38,{"name":42,"classes":43},"Academia Grupo Ciencias",35,{"name":45,"classes":24},"Academias Aduni y César Vallejo",{"name":47,"classes":48},"Ciclo Uni-San Marcos",14,{"name":50,"classes":51},"Academia Internet",9,{"name":53,"classes":51},"Pamer Corporación Educativa",{"name":55,"classes":16},"CEPRE UNMSM",{"name":57,"classes":58},"Academia_Pitagoras",7,{"name":60,"classes":61},"Salón Sapiens",6,{"name":63,"classes":64},"Trilce Multimedia",5,{"name":66,"classes":67},"META VILLARREAL",4,{"name":69,"classes":32},"Saco Oliveros",[71,96],{"id":72,"courseId":5,"topicId":13,"pastExamId":73,"stem":74,"options":75,"correctKey":80,"explanation":91,"difficulty":5,"status":92,"source":93,"stats":94},1650,198,"Sean los planos P y Q paralelos, cuya distancia entre ellos es de 7 u. Se ubica el punto A en el plano P y el punto B en el plano Q. Si AB=25 u, determine aproximadamente la medida en grados sexagesimales del ángulo entre la recta AB y el plano P. ¿Cuál es la suma de las cifras del complemento de dicho ángulo?",[76,79,82,85,88],{"key":77,"text":78},"A","10",{"key":80,"text":81},"B","11",{"key":83,"text":84},"C","12",{"key":86,"text":87},"D","13",{"key":89,"text":90},"E","14","","published","UNI 2026-1 · Matemática",{"attempts":95,"accuracy":95},0,{"id":97,"courseId":5,"topicId":13,"pastExamId":73,"stem":98,"options":99,"correctKey":86,"explanation":91,"difficulty":67,"status":92,"source":93,"stats":110},1655,"Las aristas de un ángulo triedro de vértice $O$ es intersecado por un plano en los puntos $A$, $B$ y $C$ de modo que $\\overline{OA}$ es perpendicular al plano. El área de la región triangular $ABC$ es $\\dfrac{\\sqrt{3}}{2}$ veces el área de la región triangular $BOC$. ¿Cuál es la medida en grados sexagesimales del ángulo diedro $BC$?",[100,102,104,106,108],{"key":77,"text":101},"27",{"key":80,"text":103},"28",{"key":83,"text":105},"29",{"key":86,"text":107},"30",{"key":89,"text":109},"31",{"attempts":95,"accuracy":95},[],[113,114,115,116,117,118,119,120,13,121,122,123,124,125,126],301,302,303,304,305,306,307,308,310,311,312,313,314,315,1791501527164]