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2017˸߿Ŀѧ½ѵϰ(3)

һѡ

1.()ABCDĵ(-10)(02)(43)(31)ıABCDΪ( )

A. B.

C. D.ƽı

2.()֪ABCУ =a =ba·b<0SABC= ,|a|=3,|b|=5,abļн( )

A.30° B.-150° C.150° D.30°150°

3.()κy=x2ͼaƽƺõͼһκy=2x-5ͼֻһ(31)a=_________.

4.()ABC͵RtABDйĵױABڵƽ60°ǣAB=16 cm,AC=17 cm,CD=_________.

5.()ͼڡABCУ =a =b =c, =a,(0<<1), =b(0<<1),abʾc.

2017˸߿ѧģ½ѵϰ(3)


6.()ABCA1B1C1ĵ߳Ϊa,ⳤΪ a.

(1)ʵϵдABA1C1;

(2)AC1ABB1A1ɵĽ.

7.()֪M(-10)N(10)ҵPʹ ɹСĵȲ.

(1)PĹ켣ʲô?

(2)PΪ(x0,y0),QΪ ļнǣtan.

8.()֪EFGHֱǿռıABCDıABBCCDDAĪе.

(1)֤EFGHĵ㹲;

(2)֤BDƽEFGH;

(3)MEGFHĽ㣬֤ԿռһO .

ο

ѵų

⣺(1)MΪxM= D ıΪ2.

xD= (3)ABC ļнǣ =(68) =(2-5).

ѵѵ

һ1. =(12) =(12) = ߶AB߶DC޹㣬ABDC|AB|=|DC|ABCDƽıΣ| |= =(53)| |= | || },ABCDΣ; =(41)

1·4+2·1=60, ֱ ABCDҲǾΣѡD.

𰸣D

2. ·3·5sinsin= ,=30°=150°.

֡a·b<0,=150°.

𰸣C

3.(2,0) 4.13 cm

5.⣺ ߣ =m =m( - )=m(b-a),

= + =a+m(b-a)=(1-m)a+mb

ߣ =n =n( - )=n(a-b),

= + =b+n(a-b)=na+(1-n)b

ɢ٢ڣ(1-m)a+mb=na+(1-n)b.

abߣ

ⷽ۵ãm= ʽc=(1-m)a+mb= [(1-)a+(1-)b].

6.⣺(1)ԵAΪԭOABֱΪOyᣬAA1ֱΪOzᣬԾԭƽABB1A1ֱֱΪOxᣬռֱϵ.

֪A(000)B(0a,0),A1(0,0, a),C1(- a).

(2)ȡA1B1еMM(0 a)AMMC1 =(- a,0,0),

=(0a,0), =(0,0 a)

· =0 · =0MC1ABB1A1AC1AMɵĽǾAC1ABB1A1ɵĽ.

= ɵĽǣAC1ABB1A1ɵĽΪ30°.

7.⣺(1)P(x,y),M(-10)N(10)ã =- =(-1-x,-y), =(1-x,-y), =- =(2,0), · =2(1+x), · =x2+y2-1, =2(1-x).ǣ ǹСĵȲУȼ

ԣPĹ켣ԭΪԲģ Ϊ뾶ҰԲ.

(2)PΪ(x0,y0)

8.֤(1)BG ɹ֪EFGHĵ㹲棬( = )

(2)Ϊ .

EHBDEH EFGHBD EFGH

BDƽEFGH.

(3)OMOAOBOCODOEOG

(2)֪ ͬ EH FG,EGFHһMұMƽ֣

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