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1
鏁�(sh霉) 瀛�(xu茅)
绺介珨瑕佹眰
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2
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4
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瑕佹眰鏈�(hu矛)瑷�(j矛)绠楀凡绲﹀嚭鍏瀭绶氭垨鍦ㄥ潗妯�(bi膩o)琛ㄧず涓嬬殑璺濋洟銆�
浜�銆佸闈㈤珨鍜屾棆杞�(zhu菐n)楂�
锛堜竴锛夌悊瑙ｅ苟鎺屾彙妫辨煴銆佺洿妫辨煴銆佹妫辨煴銆佸钩琛屽叚闈㈤珨鐨勬蹇靛強鎬ц唱(zh矛)锛屾渻(hu矛)瑷�(j矛)绠楀畠鍊戠殑琛ㄩ潰绌嶅拰楂旂⿳銆�
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鑰冭│褰㈠紡鍙婅│鍗风祼(ji茅)妲�(g貌u)
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鑰冭│鏅�(sh铆)闁擄細120 鍒嗛悩
鑰冭│鏂瑰紡锛氶枆鍗凤紝绛嗚│
瑭﹀嵎鍏�(n猫i)瀹规瘮渚嬶細
浠ｆ暩(sh霉) 绱� 40%
5
涓夎 绱� 25%
骞抽潰瑙ｆ瀽骞句綍 绱� 25%
绔嬮珨骞句綍 绱� 10%
瑭﹀嵎椤屽瀷姣斾緥锛�
瀹㈣椤� 绱� 60%
涓昏椤� 绱� 40%
瑭﹀嵎闆ｆ槗姣斾緥锛�
瀹规槗椤� 绱� 30%
涓瓑闆ｅ害椤� 绱� 50%
杓冮洠椤� 绱� 20%
妯� 椤�
涓€銆侀伕鎿囬锛�1锝�17 灏忛锛屾瘡灏忛 5 鍒�锛屽叡 85 鍒�銆�
1.宸茬煡闆嗗悎 {2,3, 4}, {1,3,5}A B? ? 锛屽墖 A B ?? ( ) 銆�
(A) {1, 3, 4} (B) {1, 2, 5} (C) {3} (D) {1, 2,3, 4,5}
2.宸茬煡鍑芥暩(sh霉) 1
2
( )
2 2
x
x
a
f x ?
? ?
?
?
鏄畾缇╁湪 R 涓婄殑濂囧嚱鏁�(sh霉)锛屽墖 a 鐨勫€兼槸 ( ) 銆�
(A) 1 (B) 1? (C) 0 (D) 2
3.鍑芥暩(sh霉)
5
sin(2 )
2
y x
?
? ? 鍦栧儚鐨勪竴姊濆皪(du矛)绋辫桓鏂圭▼鏄� ( ) 銆�
(A)
2
x
?
? ? (B)
4
x
?
? ? (C)
8
x
?
? (D)
5
4
x
?
?
4.鍦ㄧ瓑宸暩(sh霉)鍒梴 }n
a 涓�锛屽凡鐭� 5 8
8, 17a a? ? 锛屽墖 14
a ? ( ) 銆�
(A) 15 (B) 15? (C) 35 (D) 35?
5.鍑芥暩(sh霉)
2
( 1)
x
y a? ? 鍦� R 涓婃槸娓涘嚱鏁�(sh霉)锛屽墖 a 閬╁悎鐨勬浠� ( ) 銆�
(A) 1 | | 2a? ? (B) 1 2a? ? (C) 2 1a? ? ? ? (D) 2 2a? ? ?
6.涓嶇瓑寮�
3
0
1
x
x
?
?
?
鐨勮В闆嗘槸 ( )銆�
(A) { | 3 1}x x? ? ? (B) { | 3 1}x x x? ? ?鎴�
6
(C) { | 3 1}x x x? ? ?鎴� (D) { | 3 1}x x? ? ?
7.宸茬煡榛�(di菐n) (3, 2)P 鑸囬粸(di菐n) (1, 4)Q 闂�(gu膩n)浜庣洿绶歭 灏�(du矛)绋憋紝鍓囩洿绶歭 鐨勬柟绋嬬偤( )銆�
(A) 1 0x y? ? ? (B) 0x y? ? (C) 1 0x y? ? ? (D) 0x y? ?
8.浜屾涓嶇瓑寮�
2
0ax bx c? ? ? 鐨勮В闆嗙偤鍏ㄩ珨闈炶矤(f霉)瀵�(sh铆)鏁�(sh霉)鐨勬浠舵槸 ( )銆�
(A)
0
0
a ??
?
? ??
(B)
0
0
a ??
?
? ??
(C)
0
0
a ??
?
? ??
(D)
0
0
a ??
?
? ??
9.绲﹀畾鍛介 :| 2 1 | 1p x ? ? , 034:
2
??? xxq 锛屽墖 p 鏄� q 鐨� ( )銆�
(A) 鍏呭垎姊濅欢 (B) 蹇呰姊濅欢 (C) 鍏呰姊濅欢 (D) 鏃笉鍏呭垎姊濅欢涔熶笉蹇呰姊濅欢
10.宸茬煡
3 3
sin , cos
5 4
? ?? ? 锛屼笖 ,? ? 閮芥槸閵宠锛屽墖sin( )? ?? 鐨勫€兼槸 ( )銆�
(A)1 (B) 1? (C)0 (D)
9 7
20 5
?
11.鐞冮潰涓婃湁 , ,A B C 涓夐粸(di菐n)锛� 18, 24, 30,AB BC AC? ? ? 涓旂悆蹇冨埌骞抽潰 ABC 鐨勮窛闆㈢偤鍗婂緫鐨�
1
2
锛岄偅
涔堥€欏€�(g猫)鐞冪悆鐨勫崐寰戠偤( )銆�
(A) 10 3 (B) 10 (C) 20 (D) 30
12.鐩寸窔 2 0x y? ? ? 琚湏
2 2
( ) 4x a y? ? ? 鎵€鎴緱鐨勫鸡闀�(zh菐ng)鐐� 2 2 锛屽墖瀵�(sh铆)鏁�(sh霉)a 鐨勫€肩偤( )銆�
(A) 1 3? 鎴� (B) 1 3鎴� (C) 2 6? 鎴� (D) 0 4鎴�
13.鑻ョ洿绶� 0Ax By C? ? ? 缍�(j墨ng)閬庣涓€銆佷簩銆佷笁璞￠檺锛屽墖( )銆�
(A) 0, 0AB BC? ? (B) 0, 0AB BC? ?
(C) 0, 0AB BC? ? (D) 0, 0AB BC? ?
14.骞抽潰涓婂埌瀹氶粸(di菐n) 1 2
( 5, 0), (5, 0)F F? 鐨勮窛闆箣宸禃灏�(du矛)鍊肩瓑浜� 8 鐨勯粸(di菐n)杌岃贰鏂圭▼鏄� ( )銆�
(A)
2 2
1
16 9
x y
? ? (B)
2 2
1
25 16
x y
? ?
(C)
2 2
1
25 9
x y
? ? (D)
2 2
1
9 16
x y
? ?
7
15.鎷嬬墿绶氱殑闋傞粸(di菐n)鍦ㄥ師榛�(di菐n)锛岀劍榛�(di菐n)鍧愭(bi膩o)鏄�
1
(0, )
4a
锛屽墖鎷嬬墿绶氱殑鏂圭▼鏄�( )銆�
(A)
2
x ay? (B)
2
x ay? ? (C)
2
y ax? (D)
2
y ax? ?
16. 4 鍚嶇敺鐢熷拰 3 鍚嶅コ鐢熸帓鎴愪竴琛�锛屽コ鐢熶簰涓嶇浉閯�锛屾帓娉曞叡鏈�( )銆�
(A)
2
(4!) (B) 4! 3!? (C)
3
4
4!A (D)
3
5
4!A
17.宸茬煡鍚戦噺 (1,3), ( , 3)a b x? ? ? 锛屼笖 a b? 锛屽墖( )銆�
(A) 9 (B) 9? (C) 1? (D) 1
浜�銆佸～绌洪锛�18锝�21 灏忛锛屾瘡灏忛 5 鍒�锛屽叡 20 鍒�銆�
18.鍦ㄦ鏂瑰舰 ABCD 涓紝E銆丗 鍒嗗垾鐐� AD銆丅C 鐨勪腑榛�(di菐n)锛岀従(xi脿n)娌� EF 灏囨鏂瑰舰鎶樻垚鐩翠簩闈㈣锛孧 鐐� CF 鐨�
涓粸(di菐n)锛屽墖鐣伴潰鐩寸窔 CE 鑸� BM 鎵€鎴愯鐨勪綑寮﹀€肩偤 _____________銆�
A B
CD
E
F
M
19.鍑芥暩(sh霉) 2 sin( )
3
y x
?
? ? 鐨勫柈瑾�(di脿o)閬炲鍗€(q奴)闁撶偤_________銆�
20.姣旇純 0.8
3 _________ 3
log 0.8 澶у皬銆�
21.鍦�
8
3
1
( )
2
x
x
? 鐨勫睍闁嬪紡涓殑甯告暩(sh霉)闋�(xi脿ng)鏄痏________銆�
涓夈€佽В绛旈锛�22锝�25 灏忛锛屽叡 49 鍒嗐€�
22.(鏈皬椤屾豢鍒� 12 鍒�)
宸茬煡鏁�(sh霉)鍒梴 }n
a 鐨勫墠 n 闋�(xi脿ng)鍜�
3
3
2
n n
S a? ? 銆�
(1)姹� 1
a 锛�(2)璀夋槑{ }n
a 鏄瓑姣旀暩(sh霉)鍒�锛屽苟姹倇 }n
a 鐨勯€氶爡(xi脿ng)鍏紡銆�
23.(鏈皬椤屾豢鍒� 12 鍒�)
宸茬煡 ,? ? 鐐洪姵瑙�锛�
3 1
sin , tan( )
5 3
? ? ?? ? ? ? 锛屾眰 ?cos 銆�
24.(鏈皬椤屾豢鍒� 12 鍒�)
姹備互闆欐洸绶�
2 2
1
4 12
x y
? ? ? 鐨勭劍榛�(di菐n)鐐洪爞榛�(di菐n)锛岄爞榛�(di菐n)鐐虹劍榛�(di菐n)鐨勬鍦撴柟绋嬨€�
8
25.(鏈皬椤屾豢鍒� 13 鍒�)
宸茬煡鍑芥暩(sh霉) 1
2
1
( ) log (( ) 1)
2
x
f x ? ? 锛�
锛�1锛夋眰 ( )f x 鐨勫畾缇╁煙锛�
锛�2锛夊垽鏂� ( )f x 鐨勫柈瑾�(di脿o)鎬с€�
鍙冭€冪瓟妗�
涓€銆侀伕鎿囬锛�
1~5:D A A C A锛�6~10:D A B D D锛�11~15锛欰 D D A C锛�16~17:D A
浜�銆佸～绌洪锛�
18.
10
10
锛� 19. ]
6
2,
6
7
2[
?
?
?
? ?? kk 锛� 20. ? 锛� 21. 7
涓夈€佽В绛旈锛�
22.瑙ｏ細锛�1锛夌暥(d膩ng) 1n ? 鏅�(sh铆)锛� 1 1 1
3
3
2
S a a? ? ? 锛屾晠 1
6a ?
锛�2锛夌暥(d膩ng) 1n ? 鏅�(sh铆)锛� 1 1
3 3
2 2
n n n n n
a S S a a? ?
? ? ? ? 锛屽嵆 1
3n n
a a ?
? 锛屽緸鑰� 2 3
n
n
a ? ? 銆�
23.瑙ｏ細
2 4
cos 1 sin
5
? ?? ? ? 锛�
3
tan
4
? ? 锛�
鏁�
tan tan( ) 13
tan tan[ ( )]
1 tan tan( ) 9
? ? ?
? ? ? ?
? ? ?
? ?
? ? ? ? ?
? ? ?
锛�
寰炶€�
2
1 9 10
cos
501 tan
?
?
? ?
?
銆�
24.瑙ｏ細闆欐洸绶氱殑鐒﹂粸(di菐n)鐐� (0, 4)? ,闋傞粸(di菐n)鐐� (0, 12 )? 锛屾晠姗㈠湏鐒﹂粸(di菐n)鐐�(0, 12 )? 锛岄爞榛�(di菐n)鐐�(0, 4)?
鍗� 4, 12a b? ? 锛屽緸鑰屾鍦撴柟绋嬬偤 1
1216
22
??
yx
銆�
25.瑙ｏ細锛�1锛夌敱椤屾剰鐭�锛�
1
( ) 1 0
2
x
? ? 锛屾晠瀹氱京鍩�?y脿n)?0, )?? 銆�
锛�2锛変护
1
( ) 1
2
x
u ? ? 锛� 1
2
1
( ) 1, log
2
x
u y u? ? ? 鍦ㄥ畾缇╁煙鍏�(n猫i)閮芥槸娓涘嚱鏁�(sh霉)锛屾晠 1
2
1
log (( ) 1)
2
x
y ? ? 鍦ㄥ畾缇�
鍩熷収(n猫i)鐐哄鍑芥暩(sh霉)銆�
鍏嶈铂(z茅)鑱叉槑锛氭湰鏂囩郴杞�(zhu菐n)杓夎嚜缍�(w菐ng)绲�(lu貌)锛屽鏈変镜鐘紝璜�(q菒ng)鑱�(li谩n)绯绘垜鍊戠珛鍗冲埅闄�锛屽彟锛氭湰鏂囧儏浠ｈ〃浣滆€呭€�(g猫)浜鸿榛�(di菐n)锛岃垏鏈恫(w菐ng)绔欑劇闂�(gu膩n)銆傚叾鍘熷壍(chu脿ng)鎬т互鍙婃枃涓櫝杩版枃瀛楀拰鍏�(n猫i)瀹规湭缍�(j墨ng)鏈珯璀夊(sh铆)锛屽皪(du矛)鏈枃浠ュ強鍏朵腑鍏ㄩ儴鎴栬€呴儴鍒嗗収(n猫i)瀹�銆佹枃瀛楃殑鐪熷(sh铆)鎬с€佸畬鏁存€�銆佸強鏅�(sh铆)鎬ф湰绔欎笉浣滀换浣曚繚璀夋垨鎵胯锛岃珛(q菒ng)璁€鑰呭儏浣滃弮鑰�锛屽苟璜�(q菒ng)鑷鏍稿(sh铆)鐩搁棞(gu膩n)鍏�(n猫i)瀹�銆�
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