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本资料来源于《七彩教育网》 命题:高三数学组 审卷:高三数学组
锥侧
l)·
球P
(
)
C
P
P)nn n
I
,
I
,
I I
I {
}
x
(
C
(
)
(
)
(
)
(
)
n
:设
分),共
,
,
b
b
b
b
b
b
b
,,
,,
:如图,正方体ABCDABCD
,则
C
P
的最小值为
AB
CABC
OM
ON
,
MN
中,底面
分别是F E
、、
、、
n
n
n
(
b
b
b
n
n
n
n
g
b
g
EE
l
EM
N
AM
Em
m
m
A F B
/
,
解:():OM
ON
cos cos
nsi nsi
cos(
):
MN
,
MN
FG
········
·································································
FG
∥
·
·················
·············
·
,所以
································
·······················
······················································
········································
·······················································································
··········································································
··············································
b
b,0),F(0,
,
)EF
).
b
),
b
).
·························································
EF
················
,0),F(0,
,1).
,
,
),····································································································
· ,- ,- )EF
EF
·
·····························
·
- ,0),
EF
·······················································································································
·······
································································
······························································
,
,。
E
),(
p
p
p
p
p
p
E
(
)
(
)
(
)
(
)(
)
解:(
n
n
(
n
n
(
n
n
(
n
n
(
n,
又由已知:
n
,
故:b
):由已知:
/
(
)
(
,
max
):F
g
b
F
(
)
(
+ +
:F
:F
:F
:F
b
b
b
b
时,b
,F
有一根,
故:
g
有一解。
:
b:
b
时,b
,F
有两根,
故:
g
有两解。:
b
b
时,
b
,F
有三根,
故:
g
有三解。:
b
时,b
,F(
)有两根,
故:
(
)
g
(
)有两解。:
b
时,b
,F
(
)有一根,
故:
(
)
g
(
)有一解。
.
mx
my
m
m
m
,
m n
E
l:
E
)
AM
AM
,
,
AM
AM
AM
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