Área do Retângulo
Área do retângulo
Para deduzirmos a fórmula da área do retângulo, vamos explorar a construção seguinte.[br](ps.: esta construção foi adaptada de uma feita por Jayrton Carvalho)
Reflexão 1
Altere o controle deslizante n observe os quadradinhos preenchendo o retângulo. Quantos quadradinhos cabem no retângulo?
Reflexão 2
Altere os valores da base (B) para 10 e da altura (H) para 5. Altere o controle deslizante n e observe os quadradinhos preenchendo o retângulo. Quantos quadradinhos cabem no retângulo?
Reflexão 3
Qual a relação entre o número de quadradinhos (n) que cabem no retângulo com a altura (H) e a base (B) do retângulo?
Reflexão 4
Intuitivamente, o número de quadradinhos que cabem no retângulo pode ser considerado como a área do retângulo. Dessa forma, escreva uma equação que representa a área de um retângulo de base B e altura H.
E se o quadradinho fosse menor?
Algeplan
As formas Geométricas Espaciais -Poliedros
Ao observarmos a natureza e os objetos feitos pelo homem podemos perceber diferentes formas. Algumas delas tem características comuns que chamamos, na matemática, de [b]Formas Geométricas Espaciais[/b]. Nesta tarefa, exploraremos os Poliedros.
O que são os Poliedros ?
Formas Poliédricas
Formas Não Poliédricas
Questão 1
Compare as formas poliédricas e não poliédricas. Qual a principal diferença entre elas?
Paralelepípedo
Um objeto bastante comum que é usado para transporte de mercadorias é a caixa de papelão. Veja um exemplo:[br][br][img]data:image/png;base64,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[/img][br][br]Essa caixa tem formato de [b]Paralelepípedo[/b].
PARALELEPÍPEDO
QUESTÃO 2
Na construção anterior, para visualizar melhor os elementos do paralelepípedo, marque ou desmarque as caixas "Destacar vértices", "Esconder/Mostrar arestas" e "Esconder/Mostrar Faces". Quantos vértices tem paralelepípedo?
QUESTÃO 3
Na construção anterior, para visualizar melhor os elementos do paralelepípedo, marque ou desmarque as caixas "Destacar vértices", "Esconder/Mostrar arestas" e "Esconder/Mostrar Faces". Quantas faces tem paralelepípedo?
QUESTÃO 4
Na construção anterior, para visualizar melhor os elementos do paralelepípedo, marque ou desmarque as caixas "Destacar vértices", "Esconder/Mostrar arestas" e "Esconder/Mostrar Faces". Quantas arestas tem paralelepípedo?
Dimensões do Paralelepípedo
O Paralelepípedo possui 3 dimensões: comprimento, largura e altura. 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[/img][br]
Questão 5
No paralelepípedo seguinte, quanto mede a altura, largura e comprimento?[br][img]data:image/png;base64,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[/img]
Planificação
QUESTÃO 6
Na construção anterior, mova o seletor "mova" para ver a planificação do paralelepípedo. Qual polígono que forma as faces do paralelepípedo?
Quando o Paralelepípedo será um Cubo?
QUESTÃO 7
Na construção anterior, mova os seletores "largura", "comprimento" e "altura", buscando fazer combinações até que apareça a frase "Este Paralelepípedo é um Cubo". Como devem ser as dimensões do paralelepípedo para que ele seja um Cubo?
QUESTÃO 8
Na construção anterior, mova os seletores "largura", "comprimento" e "altura" até que se obtenha um cubo. Após isso mova o seletor "mova" para planificar o Cubo. Qual polígono compõe as faces do Cubo?
Dado
QUESTÃO 9
Na construção anterior, altere o ponto "Girar" para ver as diferentes posições do dado. Qual das figuras seguintes representa a planificação do dado?
PRISMAS E PIRÂMIDES
Alguns outros objetos que podem ser vistos no nosso dia a dia e que se assemelham com formas geométricas. Tais objetos se assemelham com os [b]Prismas [/b]e as [b]Pirâmides[/b]. [br][img]https://www.geogebra.org/resource/FbpUrGv8/JChZEdfRdc2yqjkt/material-FbpUrGv8.png[/img][img]https://www.geogebra.org/resource/nfa6MGK3/YlGocrV5H43BXkU3/material-nfa6MGK3.png[/img][img]https://www.geogebra.org/resource/KaUAeRpu/GGiLyqlIPxBy7oiO/material-KaUAeRpu.png[/img][br]
PRISMAS
QUESTÃO 10
Na construção anterior, clique com o botão direito, segure e arraste para ver os prismas em diferentes posições. Quais são os polígonos que formam o prisma vermelho?
Elementos do Prisma
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[/img]
QUESTÃO 11
Um prisma de base hexagonal, possui:
Pirâmides
ELEMENTOS DA PIRÂMIDE
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QUESTÃO 12
Qual polígono que forma as faces laterais da pirâmide?
Incentro
Incentro
O incentro de um triângulo é o ponto de encontro das bissetrizes dos ângulos internos do triângulo.
Construção do Incentro do Triângulo
[list][*]Ative a ferramenta POLÍGONO (Janela 5) e clique em três lugares distintos para formar um triângulo. Para fechar o triângulo clique novamente no primeiro ponto. Naturalmente que os pontos não podem estar alinhados. Um triângulo com vértices nos pontos A, B e C será criado.[/*][*]Ative a ferramenta BISSETRIZ (Janela 4) e clique sobre os vértices: A, C e B (nessa ordem). Posteriormente sobre os vértices C, B e A (nessa ordem). Duas bissetrizes foram criadas com os nomes “d” e “e”.[/*][*]Ative a ferramenta INTERSEÇÃO DE DOIS OBJETOS (Janela 2) e crie o ponto D de interseção das retas “d” e “e”. [br][/*][*]Queremos traçar a terceira bissetriz. A pergunta é: será que ela também passará pelo ponto D? Ative a ferramenta BISSETRIZ (Janela 4) e clique nos pontos B, A e C (nessa ordem).[br][/*][/list]
Construção do círculo inscrito
[list][*]Ative a ferramenta EXIBIR/ESCONDER OBJETO (Janela 11), clique sobre as retas d, e, f e aperte ESC posteriormente. [br][/*][*]Vamos modificar o nome do ponto D para Incentro. Para tal, clique com o botão do lado direito do mouse sobre o ponto D e selecione a opção RENOMEAR. Na nova janela que aparecerá, escreva Incentro e clique em OK.[/*][*]Ative a ferramenta RETA PERPENDICULAR (Janela 4), clique no ponto Incentro e no lado c do triângulo (que liga os pontos A e B). [br][/*][*]Ative a ferramenta INTERSEÇÃO DE DOIS OBJETOS (Janela 2), clique na reta g e, posteriormente, no lado c que liga os pontos A e B. Um ponto D será criado[1]. [br][/*][*]Nosso interesse é apenas no pé da perpendicular (ponto D). Assim, podemos esconder a reta g, usando a ferramenta EXIBIR/ESCONDER OBJETO (Janela 11). Feito isto, aperte a tecla ESC. [br][/*][*]Ative a ferramenta CÍRCULO DEFINIDO PELO CENTRO E UM DE SEUS PONTOS (Janela 6), clique no ponto Incentro e posteriormente no ponto D. Uma circunferência h será criada.[/*][/list]
Reflexão 1
Altere as posições dos pontos A, B ou C. Por que os lados do triângulo tangenciam o círculo?
Reflexão 2
Meça as distâncias de um dos vértices do triângulo a dois pontos de tangência e observe que são iguais. Por que?[br][br] [img 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[/img]
Propriedade
As três bissetrizes internas de um triângulo interceptam-se num mesmo ponto que equidista dos 3 lados do triângulo.
Demonstração
TRIGONOMETRIA NO TRIÂNGULO RETÂNGULO
O que é?
Trigonometria (do grego [i]trigōnon [/i]"triângulo" + [i]metron [/i]"medida") é um ramo da matemática que estuda as relações entre os comprimentos de 2 lados de um triângulo retângulo (triângulo onde um dos ângulos mede 90 graus), para diferentes valores de um dos seus ângulos agudos. A abordagem da trigonometria penetra outros campos da geometria, como o estudo de esferas usando a trigonometria esférica.[b] (fonte wikipédia)[/b]
Trigonometria no triângulo retângulo
1. Altere a posição do ponto D e observe o resultado da razão [math]\frac{DF}{AF}[/math]. Ele muda?
2. Altere a posição do ponto D e observe o resultado da razão [math]\frac{AD}{AF}[/math]. Ele muda?
3. Altere a posição do ponto D e observe o resultado da razão [math]\frac{DF}{AD}[/math]. Ele muda?
4. Por que os resultados das razões [math]\frac{DF}{AF}[/math] e [math]\frac{EG}{AG}[/math] são sempre iguais? Por que os resultados das razões [math]\frac{AD}{AF}[/math] e [math]\frac{AE}{AG}[/math] são sempre iguais? Por que os resultados das razões [math]\frac{DF}{AD}[/math] e [math]\frac{EG}{AE}[/math] são sempre iguais?
5. Por que os triângulos ADF e AEG são semelhantes?
6. Movimente o ponto C, diminuindo e aumentando o ângulo [math]\alpha[/math] . O resultado da razão [math]\frac{DF}{AF}[/math] muda?[code][/code]
7. Movimente o ponto C, diminuindo e aumentando o ângulo [math]\alpha[/math] . O resultado da razão [math]\frac{AD}{AF}[/math] muda?
8. Veja que na figura temos 2 triângulos retângulos. Os lados do triângulo retângulo são chamados de catetos e hipotenusa. Chamamos a razão entre a medida do cateto oposto ao ângulo e a medida da hipotenusa de [b]Seno[/b][b] do ângulo[/b]. Na figura, temos sen([math]\alpha[/math]). O que acontece com o sen([math]\alpha[/math]) quando diminuímos o ângulo [math]\alpha[/math] fazendo ficar próximo de 0 (zero) ?
9. Chamamos a razão entre a medida do cateto adjacente ao ângulo e a medida da hipotenusa de [b]Cosseno[/b][b] do ângulo[/b]. Na figura, temos cos([math]\alpha[/math]). O que acontece com o cos([math]\alpha[/math]) quando diminuímos o ângulo [math]\alpha[/math] fazendo ficar próximo de 0 (zero) ?
10. Chamamos a razão entre a medida do cateto oposto e a medida do cateto adjacente ao ângulo de [b]Tangente [/b][b]do ângulo[/b]. Na figura, temos tan([math]\alpha[/math]). O que acontece com o tan([math]\alpha[/math]) quando diminuímos o ângulo [math]\alpha[/math] fazendo ficar próximo de 0 (zero) ?
11. O que acontece com o sen([math]\alpha[/math]) quando aumentamos o ângulo [math]\alpha[/math] fazendo ficar próximo de 90º ?
12. O que acontece com o cos([math]\alpha[/math]) quando aumentamos o ângulo [math]\alpha[/math] fazendo ficar próximo de 90º ?
13. O que acontece com a tan([math]\alpha[/math]) quando aumentamos o ângulo [math]\alpha[/math] fazendo ficar próximo de 90º ?
Trigonometria no triângulo retângulo
Régua das Frações
A figura seguinte representa um conjunto de Régua de Frações feito no GeoGebra.[br][br][img]data:image/png;base64,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[/img]
Exercício 1
No applet seguinte represente frações que são equivalentes a [math]\frac{1}{2}[/math]
Exercício 2
No applet seguinte represente frações de [math]\frac{1}{5}[/math] que sejam equivalentes a [math]\frac{6}{10}[/math]
Exercício 3
No applet seguinte temos uma régua que está sem indicação de fração. Determine duas frações equivalentes que possam ser usadas como indicação de fração para a régua.
Como criar atividades na plataforma GeoGebra? (atualizado em 2023)
O vídeo seguinte mostra como criar uma atividade que contém texto, questões abertas e fechadas, vídeo, figura e página da web.
No próximo vídeo mostro como configurar a barra de ferramentas do GeoGebra para podermos fazer atividades contendo applets com menos ferramentas.
Atividade 1
Crie uma pequena atividade (com vídeo, applet e perguntas) e coloque o link aqui