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1 . 已知函数
.
(1)讨论
的单调性;
(2)当
时,满足
在
上有两个零点的
的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d1589e61086e553f04035ba8ba928993.png)
(1)讨论
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
(2)当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0b550ee821ee1838384835e81fc34b67.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0bf52ade31225f8bba4f5a2e126b1920.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/331c53800ed1c9c70b3cc5c4e665c2a8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294f5ba74cdf695fc9a8a8e52f421328.png)
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2 . 已知数列
的首项为
,且满足
,数列
满足
.
(1)求
的通项公式;
(2)设数列
的前
项和为
,求
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b065334d8f60c49f4bd3d9f1373fe4cd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/df19972381195f5ba6f09a497f23f946.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/034ba25825c13725931c483aa47c9363.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/21b78b3d5271714f917f3b5ec1735073.png)
(1)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
(2)设数列
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bbf92b9b643bb438cbce1bf957ccb973.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b6a24198bd04c29321ae5dc5a28fe421.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f1ae9a3b0b7aeb1545b65d91aa371b3c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f1ae9a3b0b7aeb1545b65d91aa371b3c.png)
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3 . 化简求值.
(1)![](https://staticzujuan.xkw.com/quesimg/Upload/formula/815d41aa6b6367ba38f6cd234c2666ba.png)
(2)
(1)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/815d41aa6b6367ba38f6cd234c2666ba.png)
(2)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4380b38fe13fba75c36024983612511b.png)
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解题方法
4 . 要将甲、乙、丙、丁、戊这五个同学排成一列,甲不在最左端,且甲和丁两位同学必须相邻,共有排列方式___________ 种.
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5 . 已知函数
,则
( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/17cde95fd7873a7af3ba8ea61deea53d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/25c26e52cd962748ed9b5678c7a0c0af.png)
A.![]() | B.![]() | C.![]() | D.![]() |
您最近一年使用:0次
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6 .
的展开式中,含
项的系数为( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5839a0927eb04df3c6d24bdee897ed31.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bf7e707a724d2b1a7e6c0e21aae57e5d.png)
A.21 | B.9 | C.189 | D.126 |
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2024-05-07更新
|
217次组卷
|
2卷引用:四川省泸定中学2023-2024学年高二下学期4月期中考试数学试题
7 . 某班四名同学去学校食堂就餐,他们在食堂一楼、二楼、三楼都可能就餐,如果他们中有同学在一楼就餐,则他们在食堂各层楼的就餐情况有( )种
A.24 | B.37 | C.48 | D.65 |
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8 . 若函数
在区间
内存在极小值,则
的取值范围是 ________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5f11fe14bd796a23b5352e3826fc0b55.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/54b7df7f6fefea14f9ad7d27a50a75f0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
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2024-04-02更新
|
459次组卷
|
2卷引用:四川省泸定中学2023-2024学年高二下学期4月期中考试数学试题
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9 . 已知等比数列
的各项均为正数,公比
,且满足
,则
( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/26d9b6c86435e0ceff94d8ad1cd03737.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/edba285b68295a2608d22b6a1d255830.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0ebce85ea9bc18815ef8887057030a63.png)
A.16 | B.8 | C.4 | D.2 |
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2024-03-26更新
|
638次组卷
|
2卷引用:四川省泸定中学2023-2024学年高二下学期4月期中考试数学试题
2024高二·江苏·专题练习
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10 . 设等差数列
,
的前
项和分别为
,
,若
,则满足
的
的值可能为( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/76aef4cdcb5af742ce28003b7b6c8c20.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f329b217e1051b23f0d61023cdc6e69.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/f1ae9a3b0b7aeb1545b65d91aa371b3c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/962149f708077e37f93bc99c0122553c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e19e3f9b355cfad1eade61b9967803ae.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b6a24198bd04c29321ae5dc5a28fe421.png)
A.2 | B.4 | C.12 | D.14 |
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