1 . 在①
,
②
,
③![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a152186af050cab09ad1f18ba76951f.png)
这三个条件中任选一个,补充在下面问题中,并作答.
问題:在
中,内角A,B,C所对的边分别为a,b,c,且选择条件______,
(1)求角A;
(2)若O是
内一点,
,
,
,
,求
.
注:如果选择多个条件分别解答,按第一个解答计分;选择第②个条件解答不给分.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b68d0ca7566f7b17d47bb1f79adfe65d.png)
②
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/abf2570dc2ea2f01c753cf7311ca722e.png)
③
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a152186af050cab09ad1f18ba76951f.png)
这三个条件中任选一个,补充在下面问题中,并作答.
问題:在
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
(1)求角A;
(2)若O是
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9ff5c21185c13eae675906dabd3593c7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/be089053abcaa85ca478f091a548b3a1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5a3c442579603164f3fc19458677d307.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dcb5bac75f36bb1dc5c8190d4dbe681d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/353902f5326218049bf4835d9a9b7ba3.png)
注:如果选择多个条件分别解答,按第一个解答计分;选择第②个条件解答不给分.
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解题方法
2 . 有穷数列{}共m项(
).其各项均为整数,任意两项均不相等.
,
.
(1)若{
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/96abfe2da27a63e6affb19a0c80236d9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6c1ccc6c74b8754e9bcbb3f39a11b6f1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6c1ccc6c74b8754e9bcbb3f39a11b6f1.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6c7a1d739890a8951586e23b78b035bc.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/668f1e1169ebc1dfcae1cdc484322a99.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ec9dbbde1c76faf80c2ff141086226f7.png)
(3)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ed0f7f62693882ed8d31e0ffba8c3400.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ffec3878c7a5433a224d4388a8059bd9.png)
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2023-05-26更新
|
789次组卷
|
2卷引用:北京市怀柔区第一中学2024届高三下学期零模数学试卷
3 . 已知数列
,且
.若
是一个非零常数列,则称
是一阶等差数列,若
是一个非零常数列,则称
是二阶等差数列.
(1)已知
,试写出二阶等差数列
的前五项;
(2)在(1)的条件下,证明:
;
(3)若
的首项
,且满足
,判断
是否为二阶等差数列.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2249690697d2901e3baf1ff602c366cb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/00c35794054f04d4e64d3d4a6b74d0fc.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/034ba25825c13725931c483aa47c9363.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/57ef6d44448092ebdb9e4a49d866a749.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
(1)已知
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e6edf2880e86d4c65a7df41fbfa401fb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
(2)在(1)的条件下,证明:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f851c69e0dbe17614ff0f13e403a7b3c.png)
(3)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/039e4fe671d61e59b96ee525c9df43e8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/046e2f8b2a8af0d40a7ef72e65885ea2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
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