ຕົວຄິດໄລ່ກາຟ 3D
ວາງແຜນພື້ນທີ່ z = f(x, y) ໃນ 3D ແບບໂຕ້ຕອບ - ຫັນແລະຂະຫຍາຍ, ອອນໄລນ໌ຟຣີ.
ໂອນພື້ນທີ່ເພື່ອໝູນມັນ ຕົວຢ່າງ x^2-y^2, sin(x)*cos(y), sqrt(x^2+y^2)
ກ່ຽວກັບເຄື່ອງຄິດໄລ່ນີ້
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ຄໍາຖາມທີ່ຖາມເລື້ອຍໆ
ຂ້ອຍຈະເຂົ້າເຖິງຟັງຊັນ 3D ໄດ້ແນວໃດ?
ພິມຕົວອັກສອນໃນທັງ x ແລະ y, ຕົວຢ່າງ x^2 - y^2 ຫຼື sin( x) * cos( y). ຕົວຄິດໄລ່ຈະຄິດໄລ່ມັນຜ່ານກຣາຟ ແລະ ກຣາຟທີ່ໄດ້ມາຈະຖືກແຕ້ມອອກມາ.
ຂ້າພະເຈົ້າສາມາດປິດການປ້ອນຂໍ້ມູນໄດ້ບໍ?
ຖືກ. ດຶງພື້ນທີ່ເພື່ອໂຄຈອນມັນ ແລະ ໃຊ້ການຄວບຄຸມການປ້ອນຂໍ້ມູນເພື່ອຍ້າຍໃກ້ຂຶ້ນ ຫຼື ຍ້າຍໄກຂຶ້ນ.
ຄໍາວ່າ z = f( x, y) ຫມາຍຄວາມວ່າແນວໃດ?
ຕົວເລກທີ່ສະແດງໃຫ້ເຫັນຄວາມສູງຂອງພື້ນທີ່ໃນແຕ່ລະຈຸດແມ່ນມາຈາກຈຸດ x ແລະ y ໂຄຈອນ. ທຸກໆ (x, y) ໃນແຜນທີ່ flat ໄດ້ຮັບຄວາມສູງ, ແລະຄວາມສູງເຫຼົ່ານີ້ຮ່ວມກັນສ້າງພື້ນທີ່.
ວິທີການທີ່ຈະແຕ້ມພື້ນທີ່ທີ່ມີລໍ້?
ພິມ x^2 - y^2. ມັນຈະຂຶ້ນຕາມແກນໜຶ່ງ ແລະຕົກຕາມແກນອື່ນ, ພົບກັນທີ່ຈຸດທີ່ຕັ້ງຕົ້ນ — ຕົວຢ່າງມາດຕະຖານຂອງພື້ນທີ່ທີ່ບໍ່ແມ່ນຈຸດສູງສຸດ ຫຼືເຂດລຸ່ມທີ່ນັ້ນ.
ພື້ນທີ່ປະເພດໃດທີ່ຂ້ອຍສາມາດເບິ່ງເຫັນໄດ້?
ທຸກຢ່າງທີ່ທ່ານສາມາດຂຽນເປັນຂໍ້ມູນໃນ x ແລະ y: ປາຣາໂບໂລຍ (x^2 + y^2), ຊາດ (x^2 - y^2), ຣິພັບ (sin( x) * cos( y)) ແລະ ການລວມຕົວຂອງ ຕີຣິກ, ພະລັງ, ຕົ້ນ ແລະ ລໍກ.
ວິທີການທີ່ນີ້ແຕກຕ່າງຈາກ 2D graphing calculator?
ເຄື່ອງມື 2D ແຕ້ມ y = f( x) ເປັນເສັ້ນໂຄ້ງ ເທິງກຣາຟທີ່ມີພື້ນທີ່ກວ້າງ. ເຄື່ອງມື 3D ນີ້ ແຕ້ມ z = f( x, y) ເປັນພື້ນທີ່ໃນພື້ນທີ່, ສະນັ້ນ ມັນຈະສະແດງໃຫ້ເຫັນວ່າ ຄ່າແມ່ນຂຶ້ນກັບການເຂົ້າເຖິງສອງຢ່າງໃນເວລາດຽວ ແທນທີ່ຈະເປັນອັນດຽວ.
ຜົນໄດ້ຮັບແມ່ນຄາດຄະເນສໍາລັບຄໍາແນະນໍາທົ່ວໄປເທົ່ານັ້ນ, ບໍ່ການເງິນ, ຄໍາແນະນໍາທາງການແພດຫຼືພາສີ.