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Abi matemaatika ülesannetega (planimeetria)

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Tere,

Äkki siin leidub kedagi, kes oskaks aidata mul lahendada paari matemaatika ülesannet :

 

1) Kolmnurga igal mediaanil on võetud punkt, mis jaotab selle mediaani suhtes 1:3 , arvates tipust. Need punktid on uue kolmnurga tippudeks. Mitu korda on selle kolmnurga pindala väiksem esialgse kolmnurga pindalast?

 

2) Täisnurkse trapetsi sisse on joonestatud ringjoon. Selle ringjoone keskpunkt asetseb trapetsi haara otspunktidest vastavalt 2 cm ja 4 cm kaugusel. Leidke trapetsi pindala.

 

3) Ringjoone raadius on 13 cm ja selle ringjoone sees on võetud punkt M, mis asub 5 cm kaugusel selle ringjoone keskpunktist. Läbi punkti M on tõmmatud kõõl AB=25 cm. Kuidas jaotab punkt M selle kõõlu ?

 

4) Nelinurga ümber joonestatud ringjoone diameeter on selle nelinurga üheks diagonaaliks. Tõestage, et nelinurga vastaskülgede projektsioonid teisele diagonaalile on võrdsed.

 

 

 

Suuur suur aitähh, kui keegi kasvõi natukenegi saaks aidata !

:)

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Tere,

Äkki siin leidub kedagi, kes oskaks aidata mul lahendada paari matemaatika ülesannet :

 

1) Kolmnurga igal mediaanil on võetud punkt, mis jaotab selle mediaani suhtes 1:3 , arvates tipust. Need punktid on uue kolmnurga tippudeks. Mitu korda on selle kolmnurga pindala väiksem esialgse kolmnurga pindalast?

 

2) Täisnurkse trapetsi sisse on joonestatud ringjoon. Selle ringjoone keskpunkt asetseb trapetsi haara otspunktidest vastavalt 2 cm ja 4 cm kaugusel. Leidke trapetsi pindala.

 

3) Ringjoone raadius on 13 cm ja selle ringjoone sees on võetud punkt M, mis asub 5 cm kaugusel selle ringjoone keskpunktist. Läbi punkti M on tõmmatud kõõl AB=25 cm. Kuidas jaotab punkt M selle kõõlu ?

 

4) Nelinurga ümber joonestatud ringjoone diameeter on selle nelinurga üheks diagonaaliks. Tõestage, et nelinurga vastaskülgede projektsioonid teisele diagonaalile on võrdsed.

 

 

 

Suuur suur aitähh, kui keegi kasvõi natukenegi saaks aidata !

:)

 

Ega sa juhuslikult seal Teaduskoolis pole? Ma tean meie kooli õpetajad surusid seda peale küll. 1 koht, kust sa päris kindlasti abi saaksid, oleks Math Help Forum. Lase googlist läbi, saad üpris lihtsalt kätte.

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Author of the topic Postitas

Tegelikult ei ole Teaduskoolis. Pean koolis lahendama selliseid, aga ma ei oska :(

 

---------- Post added 30-10-11 at 14:43 ----------

 

Aga üritasin sinna Math Help Forumisse postitada, äkki saan sealt abi. Suured tänud selle soovituse eest igaljuhul!

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VIP

See on juba kolmas teema sinu poolt nii lühikese aja jooksul. Kas sa tõesti arvad, et ma peangi sul hakkama neid ülesandeid lahendama? Koolis käid ikka sina.

 

Ürita lahendada ja kui sa mulle lahenduskäigu ette tood ning seal küsid üle, mis õige ja mis vale, siis võin sind juhendada. Niisama ma ei hakka sul neid ülesandeid järjest ära tegema.

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