一選
1.()ABCD牡(-10)(02)(43)(31)謀ABCD為( )
A. B.
C. D.平謀
2.()知ABC校 =a =ba·b<0SABC= ,|a|=3,|b|=5,ab募薪( )
A.30° B.-150° C.150° D.30°150°
3.()魏y=x2圖a平坪玫圖一魏y=2x-5圖只一(31)a=_________.
4.()ABC偷RtABD泄牡妝AB詰平60°牽AB=16 cm,AC=17 cm,CD=_________.
5.()圖凇ABC校 =a =b =c, =a,(0<<1), =b(0<<1),ab示c.
6.()ABCA1B1C1牡叱為a,獬の?a.
(1)實系寫ABA1C1;
(2)AC1ABB1A1傻慕.
7.()知M(-10)N(10)業(yè)P使 曬小牡炔.
(1)P墓旒Ｊ裁?
(2)P為(x0,y0),Q為 募薪牽tan.
8.()知EFGH直強占謀ABCD謀ABBCCDDA莫械.
(1)證EFGH牡愎?
(2)證BD平EFGH;
(3)MEGFH慕�，证钥占一O .
慰
訓懦
猓?1)M為xM= D 謀為2.
xD= (3)ABC 募薪牽 =(68) =(2-5).
訓訓
一1. =(12) =(12) = 叨AB叨DC薰悖珹BDC|AB|=|DC|ABCD平謀危| |= =(53)| |= | || },ABCD危; =(41)
1·4+2·1=60, 直 ABCD也薔危選D.
鳶福D
2. ·3·5sinsin= ,=30°=150°.
幀a·b<0,=150°.
鳶福C
3.(2,0) 4.13 cm
5.猓? 擼 =m =m( - )=m(b-a),
= + =a+m(b-a)=(1-m)a+mb
擼 =n =n( - )=n(a-b),
= + =b+n(a-b)=na+(1-n)b
散佗冢(1-m)a+mb=na+(1-n)b.
ab擼
夥桔得= 式c=(1-m)a+mb= [(1-)a+(1-)b].
6.猓?1)緣A為原OAB直為Oy�，AA1直為Oz�，择x紸BB1A1直直為Ox幔賈畢?
知A(000)B(0a,0),A1(0,0, a),C1(- a).
(2)取A1B1械MM(0 a)AMMC1 =(- a,0,0),
=(0a,0), =(0,0 a)
· =0 · =0MC1ABB1A1AC1AM傻慕薔AC1ABB1A1傻慕.
= 傻慕牽AC1ABB1A1傻慕為30°.
7.猓?1)P(x,y),M(-10)N(10)茫 =- =(-1-x,-y), =(1-x,-y), =- =(2,0), · =2(1+x), · =x2+y2-1, =2(1-x).牽 槍小牡炔校燃
裕P墓旒Ｔ材?為刖兌霸?
(2)P為(x0,y0)
8.證(1)BG 曬知EFGH牡愎叉，( = )
(2)為 .
EHBDEH EFGHBD EFGH
BD平EFGH.
(3)OMOAOBOCODOEOG
(2)知 同 EH FG,EGFH一M冶M平鄭
2017煽猓?/strong>2017爍嚦史憑學模
2017煽2017爍嚦時/
