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Propósito
<p>Describir y representar situaciones que impliquen el uso de razonamientos lógicos y su representación usando teoría de conjuntos.</p>
Motivación
<p>Sabias que</p><p>Las bacterias son un conjunto de organismos procariotas que no tienen el nucleo definido y habitan en casi todos los lugares de la tierra en presencia o ausencia de oxigeno. </p>
Explicación
<p>Teoría de conjuntos</p><p>La teoría de conjuntos <strong>es la rama de la matemática que estudia a los conjuntos</strong>. Fue introducida como disciplina por el matemático ruso Georg Cantor, quien definió al conjunto como la colección de elementos finitos o infinitos y lo utilizó para explicar las matemáticas.</p><p>Cantor estudió el conjunto de números racionales y naturales y <strong>fue revolucionario su descubrimiento de los conjuntos de números infinitos</strong>, ya que develó la existencia de infinitos de diferentes tamaños al asegurar que siempre se puede encontrar un infinito mayor.</p><p>Los descubrimientos de Cantor no fueron bien recibidos en el ámbito matemático de finales del siglo XIX. Sin embargo, hoy es considerado un visionario en el estudio de lo que él denominó los transfinitos, estudio que contribuyó al de los conjuntos abstractos e infinitos.</p><h2>¿Qué es un conjunto?</h2><p>Un conjunto <strong>es la agrupación de diferentes elementos que comparten entre sí características y propiedades semejantes</strong>. Estos elementos pueden ser sujetos u objetos, tales como números, canciones, meses, etc. Por ejemplo: el conjunto de números primos o el conjunto de planetas del sistema solar.</p><h2>Tipos de conjuntos</h2><p>A la hora de formar un conjunto, la manera y el porqué de la agrupación de los elementos que lo conforman puede variar dando lugar a diferentes tipos de conjuntos, que pueden ser:</p><ul><li><strong>Conjuntos finitos. </strong>Sus elementos pueden contarse o enumerarse en su totalidad. Por ejemplo: los meses del año, los días de la semana o los continentes.</li><li><strong>Conjunto infinito. </strong>Sus elementos no se pueden contar o enumerar en su totalidad, debido a que no tienen fin. Por ejemplo: los números.</li><li><strong>Conjunto unitario. </strong>Está compuesto por un único elemento. Por ejemplo: La Luna es el único elemento en el conjunto “satélites naturales de la Tierra”.</li><li><strong>Conjunto vacío. </strong>No presenta ni contiene elementos.</li></ul><h2>Conjuntos y subconjuntos</h2><p>Se denomina subconjunto al <strong>conjunto que se encuentra dentro de otro</strong> conjunto, es decir, el conjunto A es subconjunto del conjunto B, si todos los elementos de A están incluidos en B.</p><p>Por ejemplo:</p><ul><li>Los mamíferos son un subconjunto del conjunto animales.</li><li>Los números impares son un subconjunto del conjunto números naturales.</li><li>Los países de América del Sur son un subconjunto del conjunto países del mundo.</li><li>Los meses de primavera son un subconjunto del conjunto meses del año.</li><li>Los niños de primer grado son un subconjunto del conjunto de niños de la escuela.</li></ul><p>Los conjuntos se denotan por comprensión y por extensión.</p><p>Por extensión:</p><p>Es una representación escrita de los conjuntos cuando el conjunto y se utilizan las llaves para hacerlo. Por ejemplo:<br></p><p><b>A= { Manzana, Mora, Fresa, Sandia, Banano, Naranja}</b><br></p><p>Básicamente, dice lo mismo que en el ejemplo que utilizamos en el Diagrama de Ven, solo que está de forma escrita: A es la representación de todas las frutas. Las llaves cumplirían el papel bolsa donde están las frutas. Y la Manzana,Banano, Naranja serían cada uno de los elementos que están conformando el conjunto.</p><p>Por comprensión:</p><p>Es otra forma de representar los conjuntos de manera escrita y vas a encontrar algo como esto:</p><p><b> A= { X / X frutas dentro de la bolsa}</b></p><p>¿Entiendes que quieren decir con eso? Cuando lo vi por primera vez, no entendí. después de analizarlo un poco, me di cuenta que solo es una forma de abreviar la representación escrita de los conjuntos cuando están conformados por demasiados elementos y se complica mencionar cada unos de ellos.<br></p><p>La expresión mencionada anteriormente se lee de la siguiente forma: "A es el conjunto de los x tales que x es una fruta". Es decir, la x representa a cualquier elemento que haga parte de conjunto, en este caso, serían muchas frutas. Cuando se hace alusión a este tipo de representación de los conjuntos, solo se menciona la característica que tienen en común y no a cada uno de los elementos que lo componen. </p><p>Mejor dicho, esta expresión : "A= { Manzana, Mora, Fresa, Mango, Sandía, Banano}" es lo mismo que tener esta: "A= {X /X fruta}". En la primera estás mencionando cada uno de los elementos que componen el conjunto. En la segunda, solo mencionas la característica que tienen en común todos los elementos de ese conjunto. </p><p>REPRESENTACIÓN GRÁFICA</p><ul><li><table style="font-size: 14px;"><tbody><tr><td><strong>Diagrama de Venn</strong>Un Diagrama de Venn, llamado así en honor a su creador, John Venn; es una ilustración usada en la teoría de conjuntos.Estos diagramas se usan para mostrar gráficamente la agrupación de cosas elementos en conjuntos, representando cada conjunto mediante un círculo o un óvalo. La posición relativa en el plano de tales círculos muestra la relación entre los conjuntos.Venn fue el primero en formalizar su uso y en ofrecer un mecanismo de generalización para los mismos. Por ejemplo, si los círculos de los conjuntos A y B se solapan, se muestra un área común a ambos conjuntos que contiene todos los elementos contenidos a la vez en A y en B. Si el círculo del conjunto A aparece dentro del círculo de otro B, es que todos los elementos de A también están contenidos en B. </td></tr></tbody></table></li></ul><p>Ejemplo 1</p><p><img src="data:image/png;base64,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
Ejercicios
<p><a href="/web/uploads/14032022/9143/f6f98e509e-taller-conjuntos.pdf">f6f98e509e-taller-conjuntos.pdf</a></p>
Evidencia
Evaluación
<p>Se realizó una prueba escrita. tipo preguntas abiertas y tipo saber. </p>
Bibliografía
<p><a href="https://concepto.de/que-es-un-conjunto/">https://concepto.de/que-es-un-conjunto/</a></p><p><a href="https://www.google.com/search?q=operqaciones+entre+conjuntos&oq=operqaciones+entre+conjuntos&aqs=chrome..69i57j0i13i433j0i13l8.10072j0j7&sourceid=chrome&ie=UTF-8">https://www.google.com/search?q=operqaciones+entre...</a></p><p><br></p><p><a href="https://www.google.com/search?q=operqaciones+entre+conjuntos&oq=operqaciones+entre+conjuntos&aqs=chrome..69i57j0i13i433j0i13l8.10072j0j7&sourceid=chrome&ie=UTF-8"></a>VAMOS APRENDER MATÉMATICAS GRADO 11. EDICIONES SM. S.A. 2017<br></p>
Foro
calificable?
Activo
Actualizar