1. Tsanangudzo ye nzvimbo yegiravhiti
Muviri wakasimba unoumbwa nezvidimbu zvakawanda; saka, simba rekukwevera rinoshanda pane chimwe nechimwe chezvidimbu izvi. Nemamwe mashoko, chidimbu chimwe nechimwe chine huremu hwacho. Pakati pesimba rekukwevera chinhu ipo pachinhu apo huremu hwezvikamu zvese zvechinhu hunoonekwa sehwakaiswa pakati ipapo.
Kana chinhu chakafanana (huwandu hwechikamu chimwe nechimwe chechinhu chakafanana kana chinhu chacho chakagadzirwa nezvinhu zvakafanana) uye chimiro chechinhu chacho chakaenzana (semuenzaniso sikweya, rectangular, denderedzwa)
ipapo huremu hwechinhu hunoenderana nepakati pehukuru hwechinhu, chiri pakati pechinhu. Kune matriangles, pakati pehukuru huri pa 1/3 awa (h = kureba kwetriangle).
2. Equation yepakati pegiravhiti
Kana chimiro chechinhu chakaenzana uye chinhu chacho chakafanana, ipapo pakati pesimba rinokwevera zvinhu pasi pechinhu chacho panoenderana nepakati pehukuru hwechinhu chacho,
uko pakati pesimba rinokwevera pasi nepakati pehukuru zviri pakati pechinhu. Kusiyana neizvi, kana chinhu chacho chakafanana asi chisina kuenzana, saka nzvimbo yehuremu hwechinhu inogona kuzivikanwa uchishandisa fomura inotevera.
Makorodheni ehuremu hwechinhu pa x-axis:
Makorodheni ehuremu hwechinhu pa y-axis:
x = pakati pechinhu chiri pa x-axis, y = pakati pechinhu chiri pa y-axis, A = nzvimbo. Kana chinhu chiri muzvikamu zvitatu, kunze kwekuona ma coordinates ehuremu hwechinhu pa x ne y axes, zvinoonawo ma coordinates ehuremu hwechinhu pa z-axis. Nzvimbo (A) inotsiviwa ne volume (V).
Dambudziko remuenzaniso 1.
Sarudza makorokoto epakati pegiravhiti yechinhu chakafanana mumufananidzo uri padivi!
Solution:
Govanisa zvinhu kuita zvikamu zvitatu.
A 1 = (10-0)(10-0) = (10)(10) = 100
A2 = (20-10)(30-0) = (10)(30) = 300
A 3 = (30-20)(10-0) = (10)(10) = 100
x 1 = 1⁄2 (10-0) = 1⁄2 (10) = 5
x 2 = 1⁄2 (20-10) + 10 = 1⁄2 (10) + 10 = 5 + 10 = 15
x 3 = 1⁄2 (30-20) + 20 = 1⁄2 (10) + 20 = 5 + 20 = 25
y 1 = 1⁄2 (10-0) = 1⁄2 (10) = 5
y 2 = 1⁄2 (30-0) = 1⁄2 (30) = 15
y 3 = 1⁄2 (10-0) = 1⁄2 (10) = 5
Makorodheni ehuremu hwechinhu pa x-axis:
Makorodheni ehuremu hwechinhu pa y-axis:
Makoronesheni ehuremu hwechinhu ndeaya (15; 11)
Dambudziko remuenzaniso 2.
Sarudza makorokoto ehuremu hwechinhu chiri mumufananidzo!
Solution:
Govanisa chinhu kuita zvikamu zviviri, nzvimbo 1 = sikweya, nzvimbo 2 = mativi matatu.
A 1 = (5-1)(3-0) = (4)(3) = 12
A 2 = 1⁄2 (6-0)(9-3) = 1⁄2 (6)(6) = (3)(6) = 18
x 1 = 1⁄2 (5-1) + 1 = 1⁄2 (4) + 1 = 2 + 1 = 3
x 2 = 1⁄2 (6-0) = 1⁄2 (6) = 3
y 1 = 1⁄2 (3-0) = 1⁄2 (3) = 1.5
y 2 = 1/3(9-3) + 3 = 1/3(6) + 3 = 2 + 3 = 5
Makorodheni ehuremu hwechinhu pa x-axis:
Makorodheni ehuremu hwechinhu pa y-axis:
Nhamba yehuremu hwechinhu ichi ndeye (3; 3.6)
