内容正文:
书书书
!"#$%&
1-2
'()*+
(
,
)
-
、
%.+
CDACAD
/0
:
1.
!"#$%&'
,1
()
,
*+,-
2
./,
.
01()
,
20
2
./,
,
3
4
./,
,
401(
,
20
3
./,
,
3
7
./
,
,
5"
6
()
,
3
2+2+3+4+5+6=22
./,
.
67
(C).
2.
8 9 : ;
{an}< = > : ;,5 " : ; bn =
a1+a2+… +an
n =a1+(n-1)×
d
2?9=>:;,89@
A:;
{cn}<=B:;,CDA9 c1,EB9 q,5" dn =
nc1·c2·…·c槡 n =
nc1·c1q·…·c1qn-槡
1 =c1q
n-1
2,
5"
dn
= nc1·c2·…·c槡 n<=B:;,67(D).
3.
FG!HI:
f(x),
JK
f′(x0)=0,Lx=x0<I:M
NOP
,
QRSTU
,
89VWX
f′(x0)=0YZ[\]x=x0
^
、
_`aH:Mbcde
,
fghidj
,
k<NOP
,
67
(A).
5.
l m n M o . = p ! " q r
: n+ n
n2-槡 1 =
n n
n2-槡 1,(n≥2!n"#$%),] 10+
a
槡 b =10
a
槡b
s
,a=10,b=102-1=99,
G<
a+b=109.
67
(A).
6.
t
n=1
u
,
@vwM.:x
20+21
.
;
t
n=2
u
,
@vwM.:x
20+21+22
.
;…,
L
Sn =20+21+22+… +2n =2n+1-1.,
yQM@vwz{9
1,
t
n=1
u
,
l|}~��@vwz{M�9
2,
"��q
,
5x@vwz{M�9
n+1,
67
(D).
1
、
23+
7.① 8.25
9.cos2α+cos2β+cos2γ=2 10.176
/0
:
7.
l��q����!�
:
��sM
“
���awMF�
�d=
”
9QRS
;
��sM
“
@vw<���aw
”
9�R
S
;
L��9
“
@vwMF��d=
”,
6��9
:
@vwMF
��d=
.
8.
l��!�
S2n-1 =[2(2n-1)-1]2=(4n-3)2,8
�
a=4,b=-3,
��
a2+b2 =25.
9.
��zsM��i�
,
�Bq����sM��i�
.
]
�ws
,
C1(F�� ¡1¢Pn£M`(a5-M�,¤
<α,βLxcos2α+cos2β=1,l�!"�Bq�n��i�,
]¥v¦
ABCD-A1B1C1D1s,J§15¨,F��AC1 ©P
A
M�.z
ABCD,AA1B1B,AA1D1D5-M�,¤9α,β,γ,
5"
cosα=ACAC1
,cosβ=
AB1
AC1
,cosγ=
AD1
AC1
,
5"
cos2α+cos2β+cos2γ=
AC2+AB21+AD21
AC21
,
ª«1¢Pn£M�(¬M¥,¤9
a,b,c,
Lx
cos2α+cos2β+cos2γ=
AC2+AB21+AD21
AC21
=
a2+b2+a2+c2+b2+c2
a2+b2+c2
=2,
6
cos2α+cos2β+cos2γ=2.
10.
®��p¯!°9
:
N(n,3)= 12 n
2+12 n=
3-2
2 n
2+4-32 n;
N(n,4)= 22n
2+0n=4-22 n
2+4-42 n;
N(n,5)= 32n
2-12 n=
5-2
2 n
2+4-52 n;
N(n,6)= 42n
2-22n=
6-2
2 n
2+4-62 n;…,
l$%q�!�
N(n,k)=k-22 n
2+4-k2 n,
6
N(8,8)=8-22 ×8
2+4-82 ×8=176,6176.
,
、
45+
11.
4
:
±C�(²³�´
x
µx1.¶P·¸¶P
,
L
4b2-4ac≤0,
4c2-4ab≤0,
4a2-4bc≤0
{
,
�¹º�.p¯d0�
a2+b2+c2-ab-bc-ac≤0,
»v�
(a-b)2+(b-c)2+(a-c)2≤0,
t¼½t
a=b=c
u=c-¾
,
¿
a,b,c
ÀÁd=
,
5"
(a-b)2+(b-c)2+(a-c)2 <0,
Â
(a-b)2+(b-c)2+(a-c)2≥0ÃÄ.
5"±CÁ-¾
,
f�(²³�ÅÆx1(
x
µx`.Á«M¶P
.
12.
4
:(1)
&'% (% )*%
(A) 4 5 2
(B) 5 8 4
(C) 8 12 5
(D) 10 15 6
(2)
ÇÈÉÊ
,
ËÌ1.�z§wM¶P:
,
a:
,
ÍÎ:
,