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A
1 . x + 2 + 1 = 1 !"#$%&'()R +,-./0( )
A. (1, +oo) B. (1, 3) U (3, + 8 )
C. (3, + 8 ) D. (0, 3) U (3, + 8 )
2. (2023 :;<=>)y = M + l B+ / = 1 DEF4 8 "& 48H+IJ
K L 1, ' A= ( )
A. - 2 B. N 1
C. N2 D. 1
,QRST/ = 4X+V&RSTEF4 W"&XYZ&M r | , ]?|
_`a)b&'/+cda= ( )
A. ±1 B. ±y/2
C. ±2 D. g2h
4 . OPijCk - l0)+mnop+qcrLW&XijQ(2, 3),
ij+"nopQtVXuFX v+EF4, 8 ,'wlx+yzL
( )
A. 4y/3 B. 2 G
C. 8 I). 12
5 . (~)+LJ +
= 1,cdLk +Q0,XDEFA,
8 "&V L/1H+H.b+0( )
A . 8 +u
B . JKL(1, 1),'L2 A - 3=0
C . Ly= x + 1 , '"JKLG &
D . Lx + 2 , '|l=
6 .OPLG y + y = l+tV& + 1 TEF4 6 ".AFLBF,
' ( ) + - L .
7 . OPijG y - 4 / = l , Q(2, 0)+/ijT!m$%&'/
+ L .
8 . OPG 5 + (=1(4l0)+dL#, R, K ¢£0T+¤¥tV&
C +¤V¦§ij¨m&= 1+op+©L : .
(1)ªT+
(2) / + / («V 0)TEF4 8 "&¬4 8 L + Q X
0 §1 +©L&ª1 +.
B ®¯
°±
9 . + 2 ) + 1 = 1 ²!$%&'+,-./0( )
A. ni>\
B. m>Q
C. 0<_4 X ³
D .72 4 X´7
1 0 .OPG t + µ= 1(¶·0)¸ 4(0, a)t Q8 Dx+Ex v+¹ºv
F4 L+tV&'N4m = ( )
A. 60° B. 90°
C. 120° D. 150°
1 1 .»&K ¢£LG \+ ( = 1 ( a 6 > 0 ) +¤¥tV& 4 8 ¢£LT+t¼
½¼&X¾ ¿F48 + À Á L Â Ã ' C+dL( )
A. t B .=
C . D .
1 2 .(~)OPj C+L X2+4=I (OVA< I), 4(0, - 3 ) , 8(0, 3), «(m 1, 0 ),
P 0 CÄ+Å&4Px = 5 EF.&/,Æx = 5 EFN ,'w«ÇÈ
+yzÉÊL( )
A. 73 B. 76
C. 68 D. 72
13 . Q+ / = 1 +m#VËqcrL45T+/ , EF4 8 " . TL
JK&'a ( 0 5 = ________.
14 . Q¬1, 1)Ë/ij/m1 = 4 EFB&8 ".?ÌL4 ? +H& : .
' ( ) X + , - . / 0 .
G + / = 1 Íll0Î+¤¥tV¢£L¾ ÍN1, 0Î, 1, 0Î, ļL8,
Ï Ð TÑÒ+ÓL
Í1ΪC +Ô
ÕQÖ+/C EFA T"& B P 1 B Q , ª×rØÙ+yz.
ÍÎ
A
fy = x + 2,
1. B ÚÛdlIN + N = 1 Ò ÍzH~3Îß'4j:â=0.
ã w = 1 6 / N4/äÍ+3Î0X å =3¸l0 , Òæ1X g ;3.
2. C ÚÛ 4 Íé&/1Î, BX2,êÎ&ëlß+1 ìí+ / = 1 ÒÍ1 + 4 * Î/ + 8 _ =0,
8k 4k 1
ï+ ¸ =m ð &ñ L H + I J K L 1 , ò ¬ -7 T = 1 , ÚÒ4 = N ôõ
3. D ÚÛö÷øÉÒ/+cdùú.ñLRSC 4 = 4 ß+VÍ1, 0Î, ò
y = kx- 1Î,
¬/+ÉLûímBÎ&RSüýÒ¨ y2 = 4x = * / - 2 Íþ +2Îÿ
+ 1 4 %1,, 6 ,
, A =
- 2 A?+ 2 2-4A-,0.
2+ 2
+!= *2=1.
!"\AF\f |B%|&'()*,
+, 2|4-=|4B| + |BF|,
/012 +1=2 + 1 + * 2 + 1 + 3 +1 , 4567M=2X2 + 1 ,829=1,
X2 = 2 ^2= - 1,
+,;6< = 2 =
> = - 1 ?@.
2 + 2 5 2^+2
+C =1 ^ +,2 = 1 ^
;6!= 8 n k = ±2$.
4. A ;F7GHI6JKLMNOLPQ%RST U6JGLMPQy =
A A#0$, VW2, 3YZU64 - 3 = 3 6 [ =1 , +,JKLMPQ\]^=1, /
= 1 + 3 = 4 , `= 2 , / 2, 0, U64 2, 2 ® 82, ]2 ® U 6 c d% e 2 X 4 ^ 5 = : .
fgA.
4
5. B D ;F7h/AijklmnoklMmWpMqrstu\] v=2#
1 , +,Aiwxy7h / Bin o z "| = 2 , + , “~ ] 2 , +,LPQy -1
= - 2 ^ -1 , 2 x + y -3 = 0 ,+,Bixy7h/CiLPQ%x + 1 ,W 4
t*= 1 4=4W 2 , +,Ciwxyh/DiLPQy = x + 2 ,klP
Q1 + ? = 1 6 2 " + 22 4 = 0 ,673 /+ 4 /= 0 ,;6=0, x2= - t
L 4
+ , | = " V P | +,Dixy.
y = + 1,
6. ~ ;F7HILklPQ6+2 = 1 , ***@y 62+13 + 4
-4k - 4k -4k 1 - 2k2
= 0> ;6 X= Q = X= + w Xi= 0> YA= 1, 2k2 + 1%= k , 2k2 + i+ 1 = 2 +
f -4k 1-2k2\ 1-2
2*2 + i -
+,z(0, 1 ) , r ` %1, 0, + , + , ¡ :1 ,
& J
k T
1 - 2k2 - 4k „ „ 1
2k2 + 1 = 2 /+ ¢ 1+, 1 2 *= -4 R (2 *+ 1); 6 3
7. y = ± ^ a -2 ;F7GHI£W P2, 0jJKL¤f¥¦§¨ML/©ª0
JKLM«§NOL%¬1 ®ML. ¯L°WP2, 0, ¯L/MPQ
y= ± ^ x -2 .
8 . ;71klG 5 + / = 1 ±>6>0M³´µ¶+,?=·.
JKL1 ]4 = 1 M¸m]§NOLPQ¹]º=0 , k l `M»¼Wv ]°, 0,
+,GHI£¾ = ¿; 6 `= 1+,a = $ , `= 1,
+,klCMÀÁPQJ + /= L
 G à £ 1 1, 0, ÄzÅ6Æ %,
GÇW0 L/ 8 y=*x+m K 0 MȳÉ6 Ê & = Ì
/ = g l + =2. >
Í % Rx+ÎYZg + / = l m61+2Ïf + 4
Ð+2 / 2=0,
+, A =16Ñ?/4 1+2Ò2Î 2 = 8 242 Ó +1 > 0 , + *2= ,- @+ 24Kk2 , X\Xi= 1 + .
,LÔÕÖMl×°WÔ + , w t Ø =0,
]1¹2 1 4-/172=0,+,]1C]1 + 4 +Ù C+
=0, : .
1 + M 2+ km-1 + C+ “+ 1=0,
„ 2m2 _ 2 - 4km „
+,l + ~ i + 2k2+ * i + 2*2 + ^ + 1=0,
4563P+4A/Z L 1=0.Þ
G ß @6 11m'-10á- 1 = 0 , %&'=1.
\ = 1 [
0 ,+ , ,= _ * ¥ ¦ A = 8 2 / ] / + 1 0 ,+ , L /M P Q % ] /+1.
Bãäåæçèé
9. D ;F7L%êë+2 ì°íW0, 2, L % î + 2 kl:+ \ = 1 ð1ñò
12 V2 4 r2 v2
WW0, 2jkló+ 3 = 1 ¤ô=jklõ+,xW 1 ,GPQó + \ = 1 ö÷kl
ø0 ù ( 7 , úõ£/Mûüý0þ2 4 ù ÿ 7.
10. B
y=4x+aA0,
y = kx + a,
2 1 , y Z /+ a/f+ 2 /*+3 6 !=0.
a b”
" = 2ka= 4%' + '4 %())ff = 0,
= * , ,-y = .+ a , . x /012%(345
6 / a 0, 785 9 : = 0 , ;/2<= 90° .
11. C = c , > ?@
A1BC%0, 7, DEy /FG6H :F
D1N 6 IJA B L " 1 = /K m = _ @ ( L = a c^a c=ac=e + e 61 = 0 ,M
y8 9 9
12. ABD N%O> ?
9P = ^ - = 1 _ ? " = QRL0, ?S=(
H 2T
BTU(3 , ?1V
WXB5, 5-3,
H Z
B T ( 3 + 3 , ?1G
WXB5, - T +3.
M[|]^ = _ - 3 - - k + 3` 5 k + y - 6 | a 5b - 6=24,
45 1
cdec54=fD=3 ghiK.,-"klV,mn
opqB2*24X6=72.;rABD.
13. ~ scH tu
vw11, 0gxBy-0=tan45° x
- 1 , D T x6l , yz + /= 1 {3 f64 x = 0 ,* = 0 | x = g ,M[
}~.1WXB0, 6iG9 , M [ 9 =( ],a cH /tu
w1g
9 =( : .
14 . %- 8 , 05 U %0, B B(1 = M [ 4 2%p715, 8%,
5.
B1TB 48
A1M[B+:=2 , =2.
4 8 }1WXyz
,2 比
% 1 - 一 = Z
2
2 比 }{v=2 X =2.
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