1 . 在各项均为正数的等比数列
中,
,且
成等差数列.
(1)求等比数列
的通项公式;
(2)若数列
满足
,求数列
的前
项和
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d737c1047a14cee12a6671383e244fa5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/039e4fe671d61e59b96ee525c9df43e8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/488311bf2d495245f4fa3179b7d7cb83.png)
(1)求等比数列
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d737c1047a14cee12a6671383e244fa5.png)
(2)若数列
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a89d1f32c1605cfdb8e8855051b9f6ec.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/00bd6ccba42f65da72f6867455c74599.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d8a2ebd0a97c7ec566cc065abe557cd9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b6a24198bd04c29321ae5dc5a28fe421.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f1ae9a3b0b7aeb1545b65d91aa371b3c.png)
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2 . 已知数列
是公差不为零的等差数列,其前
项和为
,满足
,且
恰为等比数列
的前三项.
(1)求数列
,
的通项公式;
(2)设
是数列
的前
项和,是否存在
,使得等式
成立,若存在,求出
的值;若不存在,说明理由.
![](https://img.xkw.com/dksih/QBM/2016/10/1/1573054876893184/1573054883020800/STEM/be9b66f560534763a3405930f4f3f0d9.png)
![](https://img.xkw.com/dksih/QBM/2016/10/1/1573054876893184/1573054883020800/STEM/14bd5bf40ff544b58d71e5eeff3179ff.png)
![](https://img.xkw.com/dksih/QBM/2016/10/1/1573054876893184/1573054883020800/STEM/3c3dbaa88a4a4c35bd8ed81a48714667.png)
![](https://img.xkw.com/dksih/QBM/2016/10/1/1573054876893184/1573054883020800/STEM/c94271e08c6c4045b55c16ee624f9bca.png)
![](https://img.xkw.com/dksih/QBM/2016/10/1/1573054876893184/1573054883020800/STEM/88f77440439b483bb55a5e3baaa42434.png)
![](https://img.xkw.com/dksih/QBM/2016/10/1/1573054876893184/1573054883020800/STEM/33127b3ddbe1407dbdd45b07077e0b83.png)
(1)求数列
![](https://img.xkw.com/dksih/QBM/2016/10/1/1573054876893184/1573054883020800/STEM/be9b66f560534763a3405930f4f3f0d9.png)
![](https://img.xkw.com/dksih/QBM/2016/10/1/1573054876893184/1573054883020800/STEM/33127b3ddbe1407dbdd45b07077e0b83.png)
(2)设
![](https://img.xkw.com/dksih/QBM/2016/10/1/1573054876893184/1573054883020800/STEM/70f3b216f6c342b9be483f4362216a1b.png)
![](https://img.xkw.com/dksih/QBM/2016/10/1/1573054876893184/1573054883020800/STEM/c17156d0e875488b95cc45dd98629c09.png)
![](https://img.xkw.com/dksih/QBM/2016/10/1/1573054876893184/1573054883020800/STEM/14bd5bf40ff544b58d71e5eeff3179ff.png)
![](https://img.xkw.com/dksih/QBM/2016/10/1/1573054876893184/1573054883020800/STEM/093b1e4b6e4e41ab99c0920561506bad.png)
![](https://img.xkw.com/dksih/QBM/2016/10/1/1573054876893184/1573054883020800/STEM/dcc094b9582d40579485d0426c3b4888.png)
![](https://img.xkw.com/dksih/QBM/2016/10/1/1573054876893184/1573054883020800/STEM/a0a9c64b1a2948a39cf560aea0265d1e.png)
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3 . 等比数列{
}的前
项和为
,若
,则公比
=_______
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/96abfe2da27a63e6affb19a0c80236d9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b6a24198bd04c29321ae5dc5a28fe421.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/08eb71ecf8d733b6932f4680874dbbf3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c7b7bbcdd11af9e8b6bec491ac8a560a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9aa8a716a31b0f51b70fdf9bdb257909.png)
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4 . 由不等式组
确定的平面区域记为
,不等式组
,确定的平面区域记为
,在
中随机取一点,则该点恰好在
内的概率为( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/554ab89c4e8b3faa1f34ec56f40382fa.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6547aaaad6c51722541b6efb96de6cb7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/543fadebf0fd54a5aaf3010a584c52f0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2e2c2c2f638f39d780cfee0a6b8b2c59.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6547aaaad6c51722541b6efb96de6cb7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2e2c2c2f638f39d780cfee0a6b8b2c59.png)
A.![]() | B.![]() | C.![]() | D.![]() |
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