题目内容
已知等差数列{an}的前n项和为Sn,若
=a5
+a7
(O为坐标原点),且A,B,C三点共线(该直线不过点O),则S11等于( )
| OB |
| OA |
| OC |
| A.4 | B.5.5 | C.6 | D.10 |
∵
=a5
+a7
(O为坐标原点),且A,B,C三点共线
∴a5+a7=1
∴a5+a7=a1+a11,
∴S11=
=
=5.5
故选B
| OB |
| OA |
| OC |
∴a5+a7=1
∴a5+a7=a1+a11,
∴S11=
| (a1+ a11)×11 |
| 2 |
| 11 |
| 2 |
故选B
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