dap an lop 10 thai nguyen 2016 2017 chuyen tin

dap an lop 10 thai nguyen 2016 2017 chuyen tin tài liệu, giáo án, bài giảng , luận văn, luận án, đồ án, bài tập lớn về t...

UBND TINH THAINGUYEN

sO cr.q.o DUC vA oAo rAo

uUoxc UAN csAlt

THI TUYtN srxn l6P 10 rHPT crruYEN

NAwI HQC 2ot6 - 2or7 vrON THr: ToAN HQC

@nnh cho thi sinh thi vio chuy0n tin) (Bdn hudng ddn chiim gdm cd 04 trang)

I Hu6ng din chung

] ##,i;""h.#'fvirng you cAu cria hudng.dSn chAm di^di,*,tli tlirng bii

,* *XifrlitffiHru#"* ;:dffi d'rL;9'1 {'r"q'ry cho di6m toi aa

r.1-' a-,r.,-^ ,t.i- .in rzi rhano al6 si6m kh6o cAn chtr dOng, linh hoa

- Xfri vfln dung dbp 6tvd thang di6m, gi6m kh6o dQng, linh ho4t vdi tinh

than ffintrQng bii ldm cria hgc sinh'

iiC, #"[r .rrr iiet t''oa diom ctc v c6n phii dnm b6o ktr6ng sai lQch voi t6ng

- l\gu vv Ylvw

Ai6* ra A"gc th6ng nh6t trong t6 chAm thi'

5[Ti#1?itffi;'Eib,, 'ur'J.'.a,, h6i trong dA thi, ch6m di6m 16 d6n 0,25

vi khdng lim trdn

6n vh tha di6m

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-:-Tim sO ab sao cho ab ld sO nguyet'

'6 vA (aO-t) ld sO chinh phuong

Gidi: _

Ta c6 ab - ba =lla + o - (tou + a) = g(o - b) = 3' (o - u)

D, (ab - br) li sii chinhphuong nln a > b vd a - b ns6

chinhphuong th6a mdn 1 < a - b < 8 > a - b e{t;+}

+Ntiu a - b= 1= ab e {21;32;43;54;65;76;s798\

Do ab li sd nguY€n ti5 n6n ab = 43 '

+Ntiu a - b = q =;b e {sYaz;t3;84;95}

Do ab li si5 ngrryOn ti5 n6n fr =B '

V4y c6c sO oU .At tt* lajl uA 71

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ciai he phucrng trinh:

{i ;I

==:* - zv -3

Girti:

tr - !2 = 4x-2y-3 , {.' Y2 - 4x+2Y+3= o

"* !2 =5

- f(, -z)' -(v -l)' =o o {(' : ! -l)(x+ v -3)=0

ofrr*r;=i vl*'*v' =J

*

{:;i ,,' f urn"* {il i,,'-l u'>

I v=x-L I Y=x-l

tri * !2 =5o tr' +(r-1)' = s

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I y=x-l I x=-l I x=2

o\r*'-2x-4-oo\,

, '1 , =,

( v=3-x I Y=3-x

+ (II) o

1ri + y, =so lr, + (3 - *), =s

I y=3-x I x r I x-2

o\r*'-6x+4=oo\, =-, tt

, =, v0y nehigm (*;y) cria hQ phuong uinh h (-U-z),(t;z),(z;t) '

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Tt* t6t cilcfuc cflp sti nguy€n (*;y) th6a mdn:

2xy + 4x + 2Y +l> 5x2 + 2Y' Girti: Y\ x, y nguy6n n6n tu gin thitit: ?4y + 4x +2y +l> 5* +2f

e (, - y)'+(zx-1)'+(y -t)'<2 (*)

= (zx- t)' s 2 vit 2x- t h so te

* (Zx-l)' = l+ x= 0 ho6c x = 1

+V6i x=0 thiru(*)+ 0<y <l+ !=}ho{c y=l th6amdn

+vdi x=1 thitt(*)+ 2(y -1)' <1 = y =1 th6aman.

Ydy (*;y) e {(o;o);(o;t);(t;t)}

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I

dt g h+- t6i nhrmg hq chi c6 1nf,t ngqn dutic CO A c6 th6 di qua dudrng hAm trong 1 phrit

C6 B rJ-tn6ti qua dudrng hAm trong'2 phitt CO C c6 th6 di qua

J"*g trAm trong 5 phrit CO p

-t6 tlre di qua $oqg hdm trong.10

;h,i Bt6a r*g, [n & nBQn tlui5c dc tli qui m6i tan vi duong h}m

Lfri rho phdp Z cO g6i di qua trong m6t lAn H6i sO thdri gian di it

',1,a[f, fic ,ia rr,,

"tr

q

"o gai aiqru aoq duong hAm ld uao nnieu t

(chri y: Khi qua tram trri tirng ngudi ph6i t.u cli v3 thdi gian di cria c6

g6i dicham hcrn s6 dugc tinh le thli gian cho m6i lan di qua h6m).

Gidi:

ffiu hiQn ghdp 2 nguli cli nhanh ntrAt (Ag) vd 2 nguoi di chflm

nnat (Cp) cirng di mQI lugt theo c6c budc sau ddy:

l AB cung di m6t Z ptrtt

2 A cim ngQn du6c quay l4i mdt I phrit

3 CD cung di m6t l0 phrit

4 B cAm cAm du6c quaY lPi m6t Z Phtit

5 AB ctng di mdt 2 phit.

Khi d6 t6ng thdi gian d0 ci 4 ngudi di qua duong hdm ld:

2+7+10+2+2=17 phtt

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qic Ph6ng v6n it6 tim hi cu6n s6ch mi h9 d5 muqn tL thu viQn nhd truong trong thang Ba.

T6ng si5 s6ch c6c hgc sinh ndy d6 mugn trong thring Ba ld 215 cui5n.

C6 35 hgc sinh mi m5i nguoi chi muqn I cui5n s6ch vi s6 hqc sinh

chi muqn 3 cu6n sSch li m6t sO chfnh phuong wilu m6i hqc sinh

chi mugn 1,2,3hoic 4 cu6n s6ch vi kh6ng c5 ai kfiong mugn s6ch

thi c6 bao nhiOu hQc sinh dE mugn 2 cudn s6ch ?

Gidi:

C6 35 hqc sinh md m6i nguoi chi mugn 1 cuijn s6ch n6n si5 hqc sinh

muqn Zhadc 3 cui5n s6ch ld: 100 - 35 = 65 h9c sinh'

T6ng s6 s6ch md 65 hqc sinh niy dd mugn trong thang Ba li:

215-35=180 cu5n.

Gi6 srl c6 x hgc sinh mugn 2 cudn s6ch thi si5 hqc sinh mugn 3, 4

cui5nsgl6ntuqt ld y,65-x-y v6i x,y€N*, x+y<65 (1)

Khi d6 t6ng st5 s6ch md m6i hqc sinh mugn 2hodc 3 hoflc 4 cu6n le:

2x +3y + +(as - * - y) = 260 -2x -y cutin s6ch'

Tt d6 ta c6 phuong trinh: 260 - 2x - y = I 80 e 2x + y = 80 (2)

Tt (2) suy ray chfin, mdy nguy6n duong vi chinh phucrng n6n ta c6

y e'{+1a;t6;6a}

+ Vdi ! = 4=x =38 th6a mdn didukiQn (1)

+ Voi ! =16= x - 32 thbamdn diAu kiQn (1)

+ Vdi ! =36= x -22 thbam6n diAu kiQn (1)

+ Voi ! = 64) 1s =8 ktr6ng thda mdn diAukiQn (1)

V6y s6 hec sinh dd mugn 2 cuijn s6ch c6 ttr6 U: 22ho{c 32 ho6c 38

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Cho tam giic ABC vu6ng tqi A, e = 40' , dulng cao AH L6y eti6m 1

thuQc cqnh ACsao cho 4 =!AC,16y eliem K thuQc tia et6i ctia tia

HA sao cho HK =!,1u Tinh s6 do cria g6c ffi'

3

Gidi:

+ Hinh vE:

KC IE LAH tai E+IE I IBC

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Do AI =LAC nan AE=:AH (l).

3J

1

Tt (1), (2) suY ta ,48=HK+AII=EK'

Khi d6 ta c6:

BIz = BA2 + AI2 =(nn' + Ar'?)+(lf'+ EI'z)

(tu' + EI'z)+ (.t o' + BH') =(nx' + EI'z) +(nx' + BH'z)

= KIz + BKz + LBKI vu6ng tai Khay frI =90'

Suy ra fft +fu =180' = OABKI nqi tiiip trong etuhng trdn tlulng

kinh B/+ fu =fu =fu 1"t'ogchdn cung 'BI)

M6t kh6c, c6 + ffi =O ("t'ng Phu voi gOc B)

Do d6 ta c6: fu =e = 40,.

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tai tli€m /

nim trong ctubng trdn Gqi Mldtnng

di6m cria BD , MI k6o ddi cit AC tai N '

Chrmgminhring: +=* NC CI,

Giii:

a) Ggi diQn tich cria c6c tam gi6c

inr,'tctl,-IBM,IDM mn- luqt D

,S1,52r53,&'

Do M ld trung tti6m c:ira BD n}n

BM =MD*S, =So.

Khi d6 ta c6:

'-1

= t,

= -s, .s* =E-.! =ry.l?!Y, =4.* 0)

fr= E :

E's,

:

sr's, - IB'IM' IC'IN IC IB \ + D6 ded chimg minh'dugc NAC tt6ng d4ng voi NDB

-, -ID IB IB IA =IC =ID =Lel IC-'

ru(1),(2)suY * + *.

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