Concursul Comper de matematica Etapa I a avut loc anul acesta in data de 28 ianuarie 2022.
Concursul a constat in 18 exercitii de algebra si geometrie intr-un timp de 90 minute.
Gradul de complexitate al exercitiilor a fost unul mediu. Grila de exercitii a cuprins si 2 exercitii, unul de algebra si altul de geometrie, cu subtitulatura Excelenta.
Cele mai interesante din grila mi s-au parut ca fiind punctele 14 si 15, primul de algebra si al doilea de geometrie.
Exercitiul 14 solicita calculul unei sume stiind ca o alta suma de radicali era mai mica sau egala cu 0. Stiind proprietatea radicalilor de a fi intotdeauna pozitivi sau egali cu 0, suma de calculat se transforma intr-o suma Gauss cu termeni impari. Rezultatul calcului era patrat perfect.
Problema 15, necesita cunoasterea proprietatilor bisectoarei in triungiul isoscel. Problema putea da batai de cap daca nu erai atent la notarea triunghiului. Varful triunghiului era B, contrar notarilor comune de la clasa in care aproape intodeauna folosim pentru varf litera A.
Rezolvarile integrale le gasiti folosind link-ul:
https://drive.google.com/file/d/1_q0Y94QIbhDvmBeGh2SIRAH1xqsMBAAY/view?usp=sharing
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