姹熻嫃鐪?/p>
2019
灞婇珮鑰?/p>
楂樹笁鏁板濉┖棰樺己鍖栬缁?/p>
1.
璁惧叏闆?/p>
I={1,2,3,4,5,6,7,8}
锛岄泦鍚?/p>
M={3,4,5}
锛?/p>
N={1,3,6}
锛屽垯闆嗗悎
{2,7,8}
鍙互琛ㄧず鎴?/p>
.
2.
璁鹃泦鍚?/p>
M={
x
|
x
2
锛?/p>
mx
+6=0}
锛屽垯婊¤冻
M鈭﹞1,2,3,6}
锛?/p>
M
鐨勯泦鍚?/p>
M
涓?/p>
锛?/p>
m
鐨勫彇鍊艰寖鍥?/p>
涓?/p>
.
3.
宸茬煡闆嗗悎
A={
x
|
x
锛?/p>
si
n
6
飦?
n
锛?/p>
n
鈭?/p>
z}
锛屽垯
A
鐨勯潪绌虹湡瀛愰泦鏈?/p>
涓?/p>
.
4.
璁炬槧灏?/p>
f
:
x
鈫?/p>
锛?/p>
x
锛?
+2
x
鏄疄鏁伴泦
A
鍒板疄鏁伴泦
B
鐨勬槧灏勶紝鑻ュ浜庡疄鏁?/p>
k
鈭?/p>
B
锛屽湪
A
涓笉瀛樺湪鍘熻薄锛屽垯
k
鐨勫彇鍊艰寖鍥存槸
.
5.
瀹氫箟鍦ㄥ尯闂?/p>
(
锛?/p>
1,1)
鍐呯殑鍑芥暟
f
(
x
)
婊¤冻
2
f
(
x
)
锛?/p>
f
(
锛?/p>
x
)
锛?/p>
lg(
x
+1)
锛屽垯
f
(
x
)
鐨勮В鏋愬紡涓?/p>
.
6.
璁惧嚱鏁?/p>
f
(
x
)
锛?/p>
0
0
1
,
1
)
(
,
)
1
(
lg
1
1
2
x
x
f
x
x
x
x
鍒?/p>
鑻?/p>
锛?/p>
锛?/p>
飥?/p>
飪?
飪?/p>
飪?/p>
飩?/p>
飥?/p>
飥?/p>
飥?/p>
鐨勫彇鍊艰寖鍥存槸
.
7.
鏈変笅鍒楀嚱鏁帮細鈶?/p>
y
=
x
+
x
1
锛涒憽
y
=
x
x
4
飥?/p>
锛?/p>
2
锛涒憿
y
=
2
3
2
2
飥?/p>
飥?/p>
x
x
锛涒懀
y
=
2
si
n
2
x
锛?/p>
2
cos2
x
锛屽叾涓渶灏忓�间负
2
鐨勫嚱鏁版湁
.(
娉細鎶婁綘璁や负姝ｇ‘鐨勫簭鍙烽兘濉笂
)
8.
鍑芥暟
f
(
x
)
鏄鍑芥暟锛屽綋
1鈮?/p>
x
鈮?
鏃讹紝
f
(
x
)
锛?/p>
x
2
锛?/p>
4
x
+5
锛屽垯褰擄紞
4鈮?/p>
x
鈮?/p>
锛?/p>
1
鏃讹紝鍑芥暟
f
(
x
)
鐨勬渶澶ф槸
.
9.
宸茬煡鍑芥暟
f
(
x
)
锛?/p>
)
1
2
(
log
2
飥?/p>
飥?/p>
ax
x
a
鐨勫�煎煙涓?/p>
R
锛屽垯
a
鐨勫彇鍊艰寖鍥存槸
.
10.
瀵逛簬
a
鈭?/p>
[
锛?/p>
1,1]
锛屽嚱鏁?/p>
f
(
x
)
锛?/p>
x
2
+(
a
锛?/p>
4)
x
+4
锛?/p>
2
a
鐨勫�兼亽澶т簬闆讹紝鍒?/p>
x
鐨勫彇鍊艰寖鍥存槸
.
11.
鍦ㄧ瓑宸暟鍒?/p>
{
a
n
}
涓紝宸茬煡鍓?/p>
20
椤逛箣鍜?/p>
S
20
锛?/p>
170
锛屽垯
a
6
+
a
9
+
a
11
+
a
16
锛?/p>
.
12.
宸茬煡
{
a
n
}
涓虹瓑姣旀暟鍒楋紝
a
1
锛?/p>
2
锛?/p>
q
锛?/p>
3
锛屽張绗?/p>
m
椤硅嚦绗?/p>
n
椤圭殑鍜屼负
720(
m
<
n
)
锛屽垯
m
=
n
=
.
13.
鏁板垪
{
a
n
}
瀵逛换鎰?/p>
n
鈭?/p>
N
*
閮芥弧瓒?/p>
4
2
2
路
飥?/p>
飥?/p>
飥?/p>
n
n
n
a
a
a
,
涓?/p>
a
3
锛?/p>
2
锛?/p>
a
7
=4
锛?/p>
a
n
锛?/p>
0
锛屽垯
a
11
锛?/p>
.
14.
宸茬煡鍑芥暟
f
(
x
)
锛?/p>
2
2
1
x
x
飥?/p>
锛岄偅涔?/p>
f
(1)+
f
(2)+
f
(
2
1
)+
f
(3)+
f
(
3
1
)
锛?/p>
f
(4)+
f
(
4
1
)=
.
15.
绛夊樊鏁板垪
{
a
n
}
涓紝宸茬煡
a
1
=
3
1
,
a
2
+
a
5
=4
锛?/p>
a
n
=33
锛屽垯
n
涓?/p>
.
16.
璁?/p>
{
a
n
}
鏄叕宸负
- 4
鐨勭瓑宸暟鍒楋紝鑻?/p>
a
1
+
a
2
+
a
3
+鈥?
a
30
=600
锛屽垯
a
3
+
a
6
+
a
9
+鈥?
a
30
=
.
17.
S
n
鏄瓑宸暟鍒?/p>
{
a
n
}
鐨勫墠
n
椤瑰拰锛?/p>
a
5
=2
锛?/p>
a
n
-4
=30
锛?/p>
n
鈮?
锛?/p>
n
鈭?/p>
N
*
锛?/p>
,S
n
=336,
鍒?/p>
n
鐨勫�兼槸
.
18.
宸茬煡涓�涓瓑宸暟鍒楀墠浜旈」鐨勫拰鏄?/p>
120
锛?/p>
鍚庝簲椤圭殑鍜屾槸
180
锛?/p>
鍙堝悇椤逛箣鍜屾槸
360
锛?/p>
鍒欐鏁板垪鍏辨湁
椤?/p>
.
19.
涓�涓」鏁颁负鍋舵暟鐨勭瓑姣旀暟鍒楋紝棣栭」鏄?/p>
1
锛屼笖鎵�鏈夊鏁伴」涔嬪拰鏄?/p>
85
锛屾墍鏈夊伓鏁伴」涔嬪拰涓?/p>
170
锛屽垯杩?/p>
涓暟鍒楀叡鏈?/p>
椤?/p>
.
20.
鍦ㄥ悇椤逛负姝ｆ暟鐨勭瓑姣旀暟鍒?/p>
{
a
n
}
涓紝宸茬煡
a
3
+
a
4
=11
a
2
a
4
锛屼笖鍓?/p>
2
n
椤圭殑鍜岀瓑浜庡畠鐨勫墠
2
n
椤逛腑鍋舵暟椤?/p>
涔嬪拰鐨?/p>
11
鍊嶏紝鍒欐暟鍒?/p>
{
a
n
}
鐨勯�氶」鍏紡涓?/p>
a
n
=
.
21.
鏁板垪
{
a
n
}
鐨勯�氶」鍏紡
a
n
=
n
n
飥?/p>
飥?/p>
1
1
(
n
鈭?/p>
N
+
),
鍏跺墠
n
椤瑰拰
S
n
=9,
鍒?/p>
n
=
.
22.
宸茬煡鏁板垪
{
a
n
}
鐨勫墠
n
椤瑰拰
S
n
=
2
1
飥?/p>
飥?/p>
n
n
锛屽垯
a
5
+
a
6
=
.
23.
鏁板垪
{
a
n
}
涓紝
a
1
=2
锛?/p>
a
2
=1
锛?/p>
1
1
1
1
2
飥?/p>
飥?/p>
飥?
飥?/p>
n
n
n
a
a
a
(
n
鈮?)
锛屽垯鍏堕�氶」鍏紡涓?/p>
a
n
=
.
24.
姹傚�硷細
飩?
飥?
飩?/p>
10
cos
3
10
sin
1
=
.
25.
飩?
飥?/p>
飩?/p>
飩?/p>
飥?/p>
飩?/p>
25
cos
35
cos
25
sin
35
sin
鐨勫�肩瓑浜?/p>
.
26.
缁欏嚭涓嬪垪鍚勫紡锛氣憼
si
n
15掳
cos15掳
锛涒憽
cos
2
12
飦?
锛?/p>
si
n
2
12
飦?
锛涒憿
飩?
飥?/p>
飩?
5
.
22
tan
1
5
.
22
tan
2
锛涒懀
2
6
cos
1
飦?/p>
飥?/p>
锛?/p>
銆?/p>