Xac dinh tam va tinh ban kinh dirong tron ngoai t~p hinh chfr nh~t ABCD bi~t AB=8cm, B C=6cm.
Trang 1TUYEN SINH VAo LOP 10 THPT Nim hoc 2020 - 2021
MON THI: ToAN
l a m bai: 1 20phut, k h ng k i thai gian phdt iJJ
C a ll 1 (1.0 di~m) Tim diSu kien cua x d~bieu thirc A=" 4 - 3x - ~ x+ I c6 n hia
C a ll 2 ( 1.0 di~m) Kho g sir dung may tinh cam tay, giai phirong trinh sau:
x 2 -(3 +F2 )x+3 fi =0.
Call 3 (1.0 di~m) Cbo ham s6 y =_ I_ x +2021 Tim cac gia tri cua m d~ham s6 da
2 - m
cho la bam s6b~cnhAt d6ng bi~ntren R
Call 4 (1.0 di~m) £)6 thi ham s6 y =ax' va duong thkg y = 2x+2 cung di q a diem c6
hoanh dQla 1.Tim gia tricua a
Call 5 (1.0 di~m) Cho bi8u tlnrc
B -- r( 2 x+1 - Fxr J(1+x Fxr - " XrJ Vat X -, >0'va x =t 1.
a Rut gon B;
b.Tim x d~B = 5
Cau 6 (1 0 di~m) Ngu i ta d6 them 100 g mroc vao met dung dich chua 20 g mu6i thi
n n dQ cua dung dich giam di 10% Hoi tnnrc khi d6 them mrcc thi dung dich chua bao nhieu mroc ?
C a ll 7 (1.0 di~m) Xac dinh tam va tinh ban kinh dirong tron ngoai t~p hinh chfr nh~t
ABCD bi~t AB=8cm, B C=6cm
C all 8 ( 1.0 di~m) Cbo tam giac ABC vuong t~i A , du<'mg cao AH Bi St Be =2Ocm,
AB =4 Tinh H B va H e.
C a u 9 (1.0 di~m) Ch du<'mg tron (0) , du<'mg kinh AB LAydi~m C n~m tren du<'mg
GQi H la hinh chiSu vuo g g6c cua C tren du<'mgth~ng AB [ la giao di~m cua BD va
C H ChUngminh rin CI=HI.
C a ll 10 (1.0 di~m) Cho hai du<'mgtrim (0) va (0' ) c~t nhau ~i hai di~m A va B. Ve
tiSp tuySn chung C D cua hai du<'mg tron (C th Qc (0 ) , D thuQc ( 0' ». LAyhai di~m
E , F Iftn luqt thuQc cac du<'mg tron ( 0 ), ( 0' ) sao ch ba di~m E , B , F thkg hang (B
nb gifra E va F ,E:;t: B ,F:;t: B ) va E F song song vOi C D GQi P , Q Iftn luqt 1a giao
di~m cua cac c~p du<'mgthin D A vai E F va CA vOi E F K 1a giao di~m cua hai
dUOngthkg E C va F D. ChUng minh rin :
a MC D =M C V;
b KP =K Q
- H~ t