Thiết kế bài giảng hình học 12 nâng cao (tập 2) phần 1

TRAN VINH nINn H NANG CAO TAP HAI NHA XUAT BAN HA NOI 'n TRAN VINH #% '« THIET KE BAI GIANG H I N H HOC 12 TAP - NANG CAO > NHA XUAT BAN HA NOI ChiroNq 11 MAT CAU, I^IAT TRU, MAT NON Pliun G\6\ THIEU CHLfCNG I CAU TAO CHUONG §1 Mat cau, khd'i cau §2 Khai niem vl mat trdn xoay §3 Mat tru, hinh tru va khdi tru §4 Mat ndn hinh ndn va khd'i ndn On tap chuong II Muc dich ciia chuong Chuong II nham cung cap cho hpc sinh nhiJng kiln thuc co ban vl khai niem cac khdi trdn xoay khong gian ma chu ylu la mat ndn, mat tru va mat cau • Mat cau la gi Su xac dinh mat cau Dudng trdn Idn ciia mat cau Dien tich cua mat cau Thi tich ciia mat cau • Mat tru trdn xoay la gi Dien tfch xung quanh va dien tich toan phan ciia mat tru Thi tich ciia khdi tru • Mat ndn trdn xoay : Day, dudng sinh va dudng trdn day Dien ti'ch xung quanh va dien tich toan phan ciia mat ndn The tich ciia khdi ndn II MUC TIEU Kien thuc Nam dupe loan bp kien ihiic co ban chuong da neu tren lilu cac khai niem cac mat trdn xoay: Mat cau, mat tru va mat ndn Nam dupe cac cong thiic tinh dien tich, the tich ciia cac mat trdn xoay KT nang Tinh dupe dien tich xung quanh, dien tfch toan phan ciia cac hinh trdn xoay Tfnh dupe thi tfch ciia khdi cau, khdi tru, khdi ndn Thai dp Hpc xong chuong hpc sinh se lien he dupe vdi nhilu van dl thuc t l sinh dong, lien he dupe vdi nhiing van dl hinh hpc da hpc d lop dudi, md mot each nhin mdi vl hinh hpc, dac biet la van dl hlnh hpc khong gian TCr dd, cac em cd thi tu minh sang tao nhirng bai toan hoac nhirng dang toan mdi Kit luan: Khi hpc xong chuong hpc sinh can lam tdt cac bai tap sach giao khoa va lam dupe cac bai kilm tra chuong II Phun CAC PAI SCAN (TI^P THEO) §3 Mat tru, hinh tru, khoi tru (tiet 6, 7) MUC TIEU Kien thdc HS nam duoc: Khai niem chung vl ma tru Diem thudc mat tru , dilm d va dilm d ngoai mat tru Giao ciia mat tru va mat phang Hinh tru la gi, cac khai niem ca ban vl hinh tru, dien tich xung quanh, dien tfch toan phan cua hinh tru Khd'i tru va the tfch ciia khd'i tru KT nang • Ve thao cac mat hinh tru • Xac dinh mat tru, hinh tru, khdi tru • Phan biet duoc ba khai niem tren • Tfnh dupe thi tfch va dien tfch ciia hinh tru va khdi tru Thai dp • Lien he dupe vdi nhilu van dl thuc t l khong gian • Cd nhilu sang tao hinh hpc • filing thii hpc tap, tich cue phat huy tinh dpc lap hpc tap II aiU:V\ BI CUA CV VA n& C h u a n bi cua GV: • ITinh \e 43 den 47 • Thudc kc pha'n mau, Chuan bj cua HS : Dpc bai trudc d nha, cd thi lien he cac hlnh khdng gian, hlnh tru da hpc d Idp dudi \k thuc tl III PHAN DUOI THOI LUONG Bai dupe chia tilt : Tiet 1: Tir dau din hit muc Tilt 2: Tiep theo din hit IV TIEN TDlNH DAY HOC n DHT VHN D€ Cau hdi Hay neu dinh nghia hinh trdn xoay Cau hdi Neu cac dac dilm chung cua hinh trdn xoay? R BHi MOI HOATDONCl Djnh nghTa mat tru GV neu cau hdi : HI Em hay neu khai niem hinh lang tru H2 Banh xe may lu cd la hinh trdn xoay hay khdng? Neu cac dac dilm ciia nd? • GV neu dinh nghia : Mat Iron xoay sinh b(fi dudng llidng I quay quanh dudng thdng A song song vdi I dugc ggi Id mat tru iron xoay (hoac vdn idl Id mat tru) GV sir dung hinh 42 va dua cac cau hdi A H3 Mat tru cd day hay khong? H4 A va / cd quan he nhu thi nao? H5 So sanh khoang each giiJa A va /, A va /,? • GV neu cac khai niem co ban ciia hinh tru: A ggi Id true cua mat Iru vd I ggi Id dudng sinh cua mat tru, R ggi Id bdn kinh ciia mat tru H6 Khi nao dilm M d ngoai mat tru? H7 Hay neu khai niem ban kfnh ciia mat tru H8 Em hay dinh nghia mat tru theo ngdn ngir tap hop H9 Nlu mdt dilm thudc mat tru thi nd thudc mot dudng sinh nao dd Diing hay sai? HIO Hay neu mdi quan he giira cac dudng sinh khac ciia mat tru • GV neu eac chii y: a) Mat irii ndi tren Id lap hgp Id'l cd nhung diem M cdch dudng thdng A cd dinh mgt khodng R khdng ddi b) Ne'u ;V/| Id mdt diem bdt ki ndm tren mat Iru thi dudng thdng /| di qua A/, vd song song vdi A se ndm tren mdl tru dd (vi mgi diem ciia /| deu cdch A mdl khodng R) NliU vdy, cd the xem mat tru sinh bdi dudng thdng /, , ndi cdch khdc, dudng thdng /, cung Id mdl dudng sinh ciia mat tru Thuc hien -M" 5' a) Hoat ddng ciia HS Hoat ddng ciia GV Cdu hdi Ggi y trd Idi cdu hdi Hay neu khai niem dudng sinh ciia mat tru? Cdu hdi HS tu neu Ggi y trd Idi cdu hdi Tim giao ciia T va mat tru Giao ciia T va A la hai dudng sinh ddi trudng hop xung vdi qua A b) Hoat ddng ciia GV Cdu hdi Hoat ddng ciia HS Ggi y trd Idi cdu hdi Gpi d la khoang each tir A den Cd kha nang: (P) Hay cho bilt cac kha nang cd d < R ; d = R v a d > R thi xay Cdu hdi Ggi y trd Idi cdu hdi Tim giao ciia T \a mat tru + Nlu d > R thi giao la tap rdng trudng hop + Nlu d = R thi giao la mot dudng sinh + Nlu < d < R giao la mot cap dudng sinh c) i D ('^^^(ABCD.A'B'CD') " ^ ^ ( A ' A B D ) Trd Idi a b c d D S D D Cdu Cho hinh chdp S.ABCD, day ABCD la hlnh vudng canh, SA = a vudng gdc vdi day S D D (a) SB = aV2 (b) SD - a72 (c) Dien tfch tam giac SBD bang '•J~3 (d) Ca bacau tren diu sai D • Trd Idi a b c d D D D S Cdu Cho hinh lap phuong ABCDA'B'CD' canh a 51 B' / i A' ; c D' /B / (a) Thi tfch khdi lap phuong la a^ (b) The tfch khdi chdp A'.ABCD la -a^ • • (c) Thi tfch khdi lang tru ABDA'B'D' la - a ' D (d) Ca ba cau tren diu sai G Trd Idi a b c d D D D S Chgn cdu trd Idi diing cdc bdi tap sctu: Cdu Cho hinh chdp SABCD, day ABCD la hinh thang vudng tai A, SA l(ABCD), SA = a, AB = 2a, AD = DC = a Khoang each tir B din (SAD) la S 52 (a) a ; (b) 2a (c) aV3 ; (d)aV2 Trdldi (b) Cdu Cho hinh chdp SABCD, day ABCD la hinh thang vudng tai A, SA l(ABCD), SA = a, AB = 2a, AD = DC = a Thi tfch khdi chdp la