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本資料來源于《七彩教育網》 命題:高三數學組 審卷:高三數學組

錐側

l)·

球P

(

)

C

P

P)nn n

I

,

I

,

I I

I {

}

x

(

C

(

)

(

)

(

)

(

)

n

:設

分),共

,

,

b

b

b

b

b

b

b

,,

,,

:如圖,正方體ABCDABCD

,則

C

P

的最小值為

AB

CABC

OM

ON

,

MN

中,底面

分別是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

時,b

,F

有一根,

故:

g

有一解。

:

b:

b

時,b

,F

有兩根,

故:

g

有兩解。:

b

b

時,

b

,F

有三根,

故:

g

有三解。:

b

時,b

,F(

)有兩根,

故:

(

)

g

(

)有兩解。:

b

時,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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