天津一中网校 同步教学 年级 高三 科目 数学 理 教师 贾鲁津 005-006 年第二学期第七周 天津市立思辰网络教育有限公司 版权所有 第 页
005-006
005-006
005-006 a//b, a α, b α a // α., a // b, : a // b, a α b α : a α, b α, a b P, l a, l b l α. : a α, b α a // b 4
005-006 4 5 4 AlA AlA 4 5 90 0 0 0 [0 0 90 0 ] 6 5
005-006 : a // b, a // α, b α : b // α b// c c//b c a//, a c c//a, a//b, 4 b//c : aβ, β α c Q a // α, a β α β c a // c Q a // b b // c Qc α, b α b // α. ABCD ABEF ABMACNFB AMFN MN// BCE MN// BCE BCE MN 6
005-006 AN BE G CG GN BN Q AF // BE NA NF NG + AN NB + FN AN NF AG FB AN NF AG Q AC BF, AM FN, AN MN // CG QCG BCE AC AM MN // BCE : α β l l, α γ l, β γ l, l // l //l //l Q l // l Q l l // γ, l β, β γ l γ, l l // l, l // l γ // l l // l 7
005-006 4 : a // l Q a // β b // l : α β l, a // α, a // β, :, am α b Q a // α, a M, M α b a // b, an β c a // c Qb βc β αbβl Q a // b b // c b // β a // l 4 :, laaaαl, βl. Q a // α Q a // β l l Ql a // l α, l a // l a // l 5 Q AB B O PO β l, l l AC PDD OABCDB OPAC AB C CB, OA OC B O AC( AO BDD B ) POB, AB a, 9 OB a, PB a 4 PB OB + PO B O PAC, OP 4 a 8
005-006 6 ABCD SA ABCD A SC SBSC SD EFGSC AEFGAESB BCAB,SA ABCD SA BC BC SAB BC AE Q SC AEFG AE SC AE SBC AE SB BCAB,SA ABCD SB BC BC SAB Q SC AEFG SC AE AE SB 7 AC a,aa B CDAB A DCB ABA C AD AD A DEAD A D DD ABCDADCD AD A B CD ABMA CNANBNA MCM MNA C MNAB MNABA C 9
005-006 8 ABCD ABACADBCCDBDaE AD CE BCD AE AO BCDEG BCD OG ABACAD OBOCOD BCD O BCD DO BC F AO AD OD 6 Rt ECG,sin ECG CEBCDarcsin a EG CE EG E BCD 9 MAC ABC MBCD A C M ABCD ABC D I BCDA BD C M I BDNNC M BCD A CD I C DECD C D BCDCC D BCC EC E A D BC C NEC NBCD A a RtC BMC M BNMC D N a MBC D 6 6 a 0
005-006 CN CD NM MB CN CN Rt NEC, C E CE sin CNE C N C N a C MBCD A 45 0 a A D BCC MA D CB 0 P-ABCD MN PABD PMMABNND58 MN PBC MN ABCD P-ABCD ABCD AN BC E PE ADBC ENAN BNND PMMABNND ENANPMMA MNPE PE PBC MN PBC MNPE MN ABCD PE ABCD P ABCD O OE PEO PE ABCD. PO PB OB BEADBNND58
005-006 BE 65 8 PE Rt POE sin PEO PO PE 9 8 9 8 4 7 MNABCDarcsin 4 7 MNPE PE ABCD.
005-006 A A B C D A a b ab B a b a b C a b, ab D I a b b a ba la i i,,,na,a,,a n a a (4) A0 B C D 4 π A0 π B0 ] π (C) [0 π (D) [0 ] 5 60 0 A B C D 6 a,b,c Aa,b ab (B) a, b ab (C) a,b ab (D) ac, bc ab 7 a a d a d A B C D 8 A B C D 9 0 A a,b A ab
005-006 RtABC P C 4cm, 6 0cm P ABC, ()PC ABC. d A BC ABCDA B C D ABAA AD () d B AB C () B C A D d d A B A DC 4 5 d AC B D 6ACB D 7ABAB C d A BD 8 4ABa,ba,b 60 0 a AP8cmAB4cm, Pb 5ABC a SASBSCbDE ABAC DGFESA DGFE 6 ABCD ABEF ABMN ACBF AMFNACFBMN EBC 7 ABCD SA ABCD SAABMN SBSD SC AMN 8SASBSC SBA45 0 SBC60 0 MAB BC SAB SC ABC 4
005-006 B A B C D 90 0 0 0 45 0 ( A)arccos( ( C) π arcsin ) 6 ( D)arcsin π ( B) arcsin A B C D 4 A AB AC l AB AC l Al Bl Cl Dl 5 A B C D 6AB BC ABCAAA A BC Acoscos cos (B) cos cos cos Ccoscos +cos (D) cos cos+cos 7 P P A0 B C D 8 6 6 5
005-006 0<< A< B> (C) (D) 9a,b cm, 60 0 a,bab 0cmAB 0 AC a,pa B D PB ABCD PA ABPAb P PC4PBPD 6 0, PC S ABCD BD EF ADCD AE ADCFCDBE AS R BF SC Q RQEF 4 a,a 0.5m PaPA PB PAPB PAaPBa APB0 0 PAPB 6
005-006 D D B 4D 5C 6A 7B 8D 9 00 cm0 0.() () () (4) (5) (6) arccos 5 (7) arcsin (8) 0 6 4P b 8cm 5 DGFE ab 4 6 7SCAMN 90 0 8BCSAB 60 0 6 SC ABC arctan 6 D D C 4B 5A 6A 7A 8A 9 0cm 0cm 07 7
005-006 6 a PAbPB a + b PC PC 0 0 AEADCFCD EF//AC EF ASC AC ASC EF// ASC EB I ASRSC I BFQ BEF I SACRQ a + b PD a + EF//RQ 4 P PO a PO I a a// I a a//a a PAB a AO PAB PAa BO PAB a PAB PBa a AO a BO a,ao,bo AOB AB APB PO0.5 PO 0.5 APB0 0 PAPB ( m) 0 sin 0 0 PAPB PBO0 b P POAB PO I a apa, apb, a PAB,PO PAB apo, a //aa PO, POAB POPO a PO0.5m 8