Mathematics
Senior High
Resolved
想問一下第三題跟第四題兩題,謝謝!!
zat xy
*(-32)
a1=2
2. 在-3與27之間插入兩正數a,b,使得3,a,b三數是等差數列,且a,b,27數是等比數列 汁
試求a,b之值。
-3.a··b.27
-3.9.x.b.27
-3.9.12.bizn
-3.9.12
a=4
4:6127 6=31
A = A=4₁ b = 21
3. 已知三正數a,b,c等差數列,而a+1,b+4,c+43成等比數列,若a+b+c=36,試求a,b,c
之值。
a-2b+c
a-6-42
a+b+c=36
6+4
atl
C443
5+4
a+1 = (+43
a-6-42=0
b-a = c-b
26-9-6-0
-a+zb-c=0
a-2b+c=0
a+b
4. 設a,b,c為相異的三數,若a,b,c成等比数列,且a+b,b+c,c+a成等差數列,試求之
值。
1950
I
= C
(b+c)-(a+b)=((ta) (btc)
b+c
b+ C-a-b
=c+a-b-c
=
12a+b-c
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