les-digonales-d-un-quadrile-re-ABCD-inscriptible-se-coupent-en-O-on-note-AB-a-BC-b-CD-c-AD-d-OA-e-OB-f-Oc-g-OD-h-montrer-que-a-c-c-a-b-d-d-b-e-g-g-e-f-h-h-f-

Tinku Tara June 4, 2023 None 0 Comments

Question Number 160649 by Eric002 last updated on 04/Dec/21

les digonales d′un quadrile^� re ABCD (inscriptible) se coupent en O on note AB=a ; BC=b ; CD=c ; AD=d ; OA=e OB=f ; Oc=g ; OD=h montrer que: (a/c)+(c/a)+(b/d)+(d/b)≤(e/g)+(g/e)+(f/h)+(h/f)

$${les}\:{digonales}\:{d}'{un}\:{quadril}\grave {{e}re}\:{ABCD} \\ $$$$\left({inscriptible}\right)\:{se}\:{coupent}\:{en}\:{O}\:{on}\:{note} \\ $$$${AB}={a}\:;\:{BC}={b}\:;\:{CD}={c}\:;\:{AD}={d}\:;\:{OA}={e} \\ $$$${OB}={f}\:;\:{Oc}={g}\:;\:{OD}={h} \\ $$$${montrer}\:{que}: \\ $$$$\frac{{a}}{{c}}+\frac{{c}}{{a}}+\frac{{b}}{{d}}+\frac{{d}}{{b}}\leqslant\frac{{e}}{{g}}+\frac{{g}}{{e}}+\frac{{f}}{{h}}+\frac{{h}}{{f}} \\ $$

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les-digonales-d-un-quadrile-re-ABCD-inscriptible-se-coupent-en-O-on-note-AB-a-BC-b-CD-c-AD-d-OA-e-OB-f-Oc-g-OD-h-montrer-que-a-c-c-a-b-d-d-b-e-g-g-e-f-h-h-f-

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