| Te Āhuahanga Taumata 8
|
|
|
| Ngā Whāinga Paetae
|
|
|
| Te torotoro āhuahanga taunga
|
|
|
| I roto i ngā horopaki whai tikanga, me mōhio te ākonga :
|
|
|
| 1. ki te whakamarama i te āhua o ngā motupae koeko, ka whakaatu ai ki te kauwhata;
|
|
conic section |
| 2. ki te kimi mai i ngā wharite o ngā
motupae koeko, ki te kimi hoki i te whārite o ngā patapa
me ngā hangai patapa;
|
|
tangents; normals |
| 3. ki te tuhi, ki te whakaahua, ki te reo pangarau, i ngā anau e puta noa ana i ngā ahuatanga o ia rangi.
|
|
curve |
|
He Tauira Horopaki
|
|
|
- NGA ANA O WAITOMO&;Mahia
mai he kauwhata e whakaatu ana i ngā koeko tū o roto
i ngā ana o Waitomo.
|
|
stalagmite |
- NGĀ PŌTAKA&;Tapahia
he motupae motuhake o tetahi porotaka kia kitea ai ngā ānau,
arā, ngā unahi, ngā porohita, ngā puwerewere,
ngā aha, ngā aha.
|
|
parabola; hyperbola |
- NGA RAUPONGA&;Kimihia
ngā āhua rauponga ki te rorohiko. Me whakamahi te pūmanawa
rorohiko "Logo".
|
|
|
| He Tauira Mahi
|
|
|
| Te torotoro āhuahanga taunga
|
|
|
| Anei ētahi tauira mahi e taea ai ngā whainga paetae
o tēnei taumata te whakatutuki:
|
|
|
| 1. Me mōhio te ākonga ki te whakamārama i te āhua
o ngā motupae koeko, ka whakaatu ai ki te kauwhata;
|
|
|
- he hōpara i ngā ānau o roto i ngā motupae koeko
(me te whakamahi anō i ngā pūmanawa rorohiko i ngā
wāhi e tika ana), ka whakaatu ai ki te kauwhata. Me titiro hoki
ki ngā ānau e puta noa ana i ngā horopaki papori, taiao
rānei .
|
|
|
| 2. Me mōhio te ākonga ki te kimi mai i ngā
wharite o ngā motupae koeko, ki te kimi hoki i te whārite o ngā
patapa me ngā hāngai patapa;
|
|
|
- he whakatakoto, he hōpara wharite porohita, pororapa, unahi,
mango pare, tae atu hoki ki ngā wharite māori me ngā
tikanga patapa, hāngai patapa.
|
|
|
| 3. Me mōhio te ākonga ki te tuhi, ki te whakaahua,
ki te reo pāngarau, i ngā ānau e puta noa ana i ngā
āhuatanga o ia rangi.
|
|
|
- he torotoro, he hōpara i ētahi atu ānau pēnei
i te rauponga, i te ānau whā hukarere i te raumata patapa
o te ānau, i te maurea, i te torino, i te ānau ahu-3, i te
aha kē rānei (kei te mokihi "Logo" ngā pūmanawa
rorohiko hei whakatauira i ēnei mea).
|
|
|
| He Tauira Aro Matawai
|
|
|
| He tauira noa ēnei hei āwhina i te kaiwhakaako:
|
|
|
- He whakatakoto korero ki te āhua o tēnei mea, o te motupae
koeko, o te kauwhata motupae koeko rānei , me te huringa o tētahi
ki tētahi, ka whakaatu ai i ngā tikanga tuhi e hāngai
ana ki tēnei āhuatanga.
|
|
|
Mā tēnei tauira ka mōhio te kaiwhakaako e pēhea
ana te matatau o ngā ākonga ki te:
|
|
|
He kimi mai i te whārite o te patapa me te hangai patapa o tēnei
pororapa: r2/a2 + t2/e2 = 1, i te taunga (a whe t, e aho
t).
|
|
|
Mā tēnei tauira ka mōhio te kaiwhakaako e pēhea
ana te matatau o ngā ākonga ki te:
|
|
|
- He whakamahi pūmanawa rorohiko (pēnei i te CAD) hei hōpara
hoahoa, āhuatanga āhuahanga rānei o ngā mea ahu-3.
|
|
|
Ma tēnei tauira ka mōhio te kaiwhakaako e pēhea ana te matatau o ngā ākonga ki te:
|
|
|
- He whakamahi pūmanawa penei i te "Logo" hei hōpara
, hei whakatakoto pūrongo ki ngā mahi whakaputa rauponga,
ānau Hilbert rānei .
|
|
|
Ma tēnei tauira ka mōhio te kaiwhakaako e pēhea ana te matatau o ngā ākonga ki te:
|
|
|
