A prova de Matemática do Enem é uma das mais temidas pelos estudantes, até mesmo aqueles que se dão bem nessa matéria. O motivo é que o Enem, desde 2009, passou a cobrar a interdisciplinaridade nas provas, exigindo que o candidato consiga compreender mais do que uma área de conhecimento na mesma questão.

Se você quer garantir uma boa nota, precisa saber quais os assuntos que mais caem de Matemática no Enem, assim poderá estudá-los, realizar exercícios e estar preparado para fazer a prova.

Continue a leitura para conferir os principais assuntos baseados em edições anteriores, além de algumas dicas que vão deixar os seus estudos muito mais fáceis. Então acompanhe o conteúdo!

Assuntos de matemática que mais caem no Enem

A prova de Matemática do Enem (Exame Nacional do Ensino Médio) faz parte da área de conhecimento Matemática e suas Tecnologias e os assuntos que mais caem no exame envolvem, por exemplo, funções, estatísticas, geometria e trigonometria. Também é muito importante saber fazer a famosa regra de três, ter conhecimento sobre porcentagem e ter as fórmulas básicas fixadas na cabeça, como a de Bhaskara.

Vale ainda destacar que a prova muda todos os anos, ou seja, um assunto que caiu na edição anterior pode não cair na edição atual. Da mesma forma que pode haver um assunto de Matemática que nunca tenha caído.

Dito isso, abaixo trouxemos alguns dos assuntos de Matemática que mais caem no Enem. Confira!

Geometria

A geometria, de acordo com as edições anteriores da prova, também está entre os assuntos de Matemática que mais caem no Enem, podendo ser dos seguintes tipos:

  • Espacial;
  • Plana;
  • Analítica.

Nessa matéria estão presentes as formas, como o triângulo, círculo, quadrado e retângulo. Também podem ser cobrados outros polígonos, apesar de com menores chances, como o losango e prisma.

Estude sobre o cálculo de área, perímetro e volume dessas e outras formas citadas acima, e faça bastantes exercícios para fixar esse conhecimento e mandar bem no Enem.

Funções

Um dos assuntos de Matemática que mais caem no Enem são as funções. Existem as funções de 1º grau (linhas retas) e 2º grau (parábolas). Equações de primeiro e segundo grau podem ser exigidas em conjunto com essas funções.

Estatística e probabilidade

A estatística e probabilidade também estão entre os assuntos de Matemática que mais caem no Enem. No caso da estatística, lembre-se que você não precisa saber apenas calcular, como também fazer toda a interpretação e análise para resolver a questão.

É importante também ter uma noção geral sobre probabilidade, já que isso pode estar na sua prova. Saiba realizar o cálculo, mas tenha em mente que é geralmente exigido o assunto de forma simples, englobando outras áreas de conhecimento, como Biologia e Química.

Trigonometria

A trigonometria estuda os triângulos, seus usos e suas relações. Também está entre os assuntos de Matemática que mais caem no Enem, aparecendo principalmente como o Teorema de Pitágoras, funções trigonométricas (seno, cosseno e tangente) e questões sobre ângulos. 

Leitura e interpretação de gráficos

Apesar de parecer fácil, as questões que contém gráficos são as que mais precisam da sua atenção. Afinal, pode haver pegadinhas, e qualquer interpretação errada pode te levar ao erro.

Nesse sentido, estude a leitura e interpretação de gráficos e tabelas. Pode ser cobrado cálculos, previsões, mas também apenas a percepção de algum dado e informação. É importante ressaltar que eles também podem ser utilizados não apenas na prova de Matemática, mas também em outras áreas de conhecimento do Enem.

Razão e proporção

Razão e proporção também podem ser cobradas na prova e aparecem entre os assuntos de Matemática que mais caem no Enem. Para você entender melhor, ambos estão ligados ao quociente. Enquanto a razão é o quociente de dois números, a proporção é a igualdade entre duas razões.

Achou confuso? Então estude bem esses assuntos, realizando exercícios que já caíram em provas antigas para se dar bem e conseguir uma excelente nota!

O que é razão?

A razão é a comparação entre duas grandezas. Ela é calculada a partir da divisão dos dois valores na ordem em que eles são mostrados.

Pense em dois números A e B fazem parte do conjunto de números reais, sendo o B ≠ 0. Isso é representado da seguinte forma:

A razão entre A e B é:

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O que é proporção?

A proporção é a igualdade entre duas razões. Ela pode ser usada em vários problemas que envolvem o cálculo de igualdade entre duas razões.

Sempre que temos uma proporção, o produto dos meios será igual ao produto dos extremos.

Se A e B são proporcionais a C e D, então:

vGwWZFOU mS3q7 TZ6OdG3qB2UoeHy4XH9Hg9Dww63UppJpLOaJGzUm9 sVj7UUmL0QbFoBtmNKUQqmA7naf3IMGe9dO3L3cBlQIh7LJyf6o

Se A e B são proporcionais a C e D, então:

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O que é escala?

Podemos definir a escala como a razão entre a métrica linear do desenho e a métrica linear correspondente na realidade. As distâncias apresentadas em mapas, planos e modelos são consideradas representativas, ou seja, representam uma constante de proporcionalidade para conversão em distâncias reais. Os dados expressos no mapa são proporcionais à distância na realidade.

Esses mapas representam países, estados, cidades, zonas terrestres, continentes e outras áreas terrestres. Essa expressão ocorre de forma reduzida, mantendo a relação de tamanho e a proporção dominante.

Aritmética

Aritmética é a área da matemática que mexe com as operações numéricas como a soma, subtração, divisão e multiplicação. Ou seja, a aritmética é utilizada para resolver basicamente todas as questões de Matemática, e outras áreas do conhecimento que envolvam cálculos. Pode parecer algo simples, mas não deixe de incluir nos temas a serem estudados.

O estudo da aritmética é importante porque, para que seja possível resolver problemas mais complexos, é necessário compreender bem essas quatro operações matemáticas citadas.

Como por exemplo:

23 = 2 x 2 x 2 = 8

42 = 4 x 4 = 16

Gráficos e Tabelas

Em estatística, é muito comum o uso de gráficos para representar dados, que são construídos em duas dimensões, ou seja, gráficos em um plano. Existem muitas maneiras de exibir, principalmente: gráfico de matriz de pontos, gráfico de linhas, gráfico de barras, histograma e gráfico de pizza.

Gráfico de pontos

Também conhecido como gráfico de pontos, é usado quando temos uma tabela de distribuição de frequência, seja ela absoluta ou relativa. O objetivo do gráfico de pontos é apresentar os dados da tabela de forma resumida e ser capaz de analisar a distribuição desses dados.

Gráfico de linha

É usado em situações em que os dados precisam ser analisados ​​ao longo do tempo.Este tipo de gráfico é muito comum em análises financeiras. O eixo da abscissa (eixo x) representa o tempo, que pode ser dado por ano, mês, dia, hora, etc., enquanto o eixo das ordenadas (eixo y) representa outros dados relacionados.

Gráfico de barras

Seu objetivo é usar retângulos de mesma largura e altura para comparar dados de uma determinada amostra. Essa altura deve ser proporcional aos dados envolvidos, ou seja, quanto maior a frequência dos dados, maior a altura do retângulo.

Gráfico de colunas

O estilo é semelhante ao do gráfico de barras e a finalidade é a mesma. Em seguida, use um gráfico de colunas quando o título for curto, para não deixar muito espaço em branco no gráfico de barras.

Gráfico de setor

É usado para indicar que os dados estatísticos estão divididos em setores com um círculo. A área do setor é proporcional à frequência dos dados, ou seja, quanto maior a frequência, maior a área do setor circular.

Funções

A função é uma regra que relaciona cada elemento de um conjunto a um único elemento de outro. O primeiro conjunto é chamado de domínio, e o segundo, contradomínio da função.

A função determina uma relação entre os elementos de dois conjuntos. Podemos definir ela usando uma lei de formação, onde, para cada valor de x, temos um valor de f(x). Chamamos x de domínio e f(x) ou y de imagem da função. As funções podem ser três tipos:

Função injetora ou injetiva

Nessa função, cada elemento do domínio (x) associa-se a um único elemento da imagem f(x). Todavia, podem existir elementos do contradomínio que não são imagem. Quando isso acontece, dizemos que o contradomínio.

Função Sobrejetora ou sobrejetiva

Na função sobrejetiva, todos os elementos do domínio possuem um elemento na imagem. Pode acontecer de dois elementos do domínio possuírem a mesma imagem. Nesse caso, imagem e contradomínio possuem a mesma quantidade de elementos.

Função bijetora ou bijetiva

Essa função é ao mesmo tempo injetora e sobrejetora, pois, cada elemento de x relaciona-se a um único elemento de f(x). Nessa função, não acontece de dois números distintos possuírem a mesma imagem, e o contradomínio e a imagem possuem a mesma quantidade de elementos.

Como estudar Matemática para o Enem? 

Para conseguir uma nota alta, além de saber quais os assuntos de Matemática que mais caem no Enem, você também pode fazer um cronograma de estudos para o Enem, que vai te ajudar a organizar melhor o que estudar, além de fazer melhor gestão de tempo, evitando a procrastinação.

No cronograma você também pode dar destaque aos assuntos que mais tem dificuldades, para dar prioridades neles e estudar mais vezes do que outros que já domina. Aproveite os assuntos que abordamos aqui e coloque no seu planejamento todos eles, não se esquecendo das outras áreas de conhecimento do Enem.

Além disso, a realização de exercícios é uma das melhores formas de estudar. Você já ouviu falar que a prática leva a perfeição, certo? Com a Matemática, também é isso, requerendo muito treino, tentativas, erros e acertos para você se dar bem. Leia os enunciados com atenção e vá além de decorar a fórmula, entendendo também todo o conceito por trás dela.

Outra forma de estudar Matemática é realizando algum simulado do Enem, como é o caso do simulado oferecido pelo Amigo Edu, o ENAE (Exame Nacional do Amigo Edu). Nele, você testa seus conhecimentos nos assuntos de Matemática que mais caem no Enem.

É só baixar o aplicativo Preparaê, exclusivo do Amigo Edu, que oferece um ambiente completo de preparação para o Enem. É totalmente online e gratuito, aproveite!

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