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1 . 若
的展开式中常数项为
,则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5f1e5d29de6e4d72bfed62d9c14dde5.png)
__________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6bb50b6fbe737e673500d92bed1a6d06.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5f1e5d29de6e4d72bfed62d9c14dde5.png)
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2024-04-14更新
|
806次组卷
|
4卷引用:贵州省毕节市2022届高三上学期诊断性考试(一)数学(理)试题
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2 . 等差数列
的前n项和为
,
,
,则数列
的公差![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7c98c59cd4749afdd21e73529fc84323.png)
______________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/08eb71ecf8d733b6932f4680874dbbf3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/94339474cfe61111f152ef1636c8c5c8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9b2395ccadbeb8353ead0d573ca02c25.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7c98c59cd4749afdd21e73529fc84323.png)
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2023-06-24更新
|
257次组卷
|
2卷引用:贵州省安顺市2022届高三第一次教学质量监测统一考试数学(理)试题
3 . 已知正三棱柱
内接于球O,若该三棱柱的体积是
,则球O表面积的最小值为______________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/42d3a82b8e587ee890467835bc4e854c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/adbd3e8cf8325999cde03adf845d3dd0.png)
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4 . 若定义在
上的函数
,对任意
,都有
,则称
为“
函数”.
现给出下列函数,其中是“
函数”的有______________ .(填出所有正确答案的序号)
①
;
②
;
③
;
④
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cf3ed15aa3dcc4211fb520b5b942c989.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/33bd24e647a626899a243a3f3984f90a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ad5c9fe631faa998ecc75f9d556f418c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/73465a1f9aa03481295bf6bd3c6903ac.png)
现给出下列函数,其中是“
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/73465a1f9aa03481295bf6bd3c6903ac.png)
①
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1c401742c4e0f2757772a695fa0df6c4.png)
②
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7bff9681471371af6e3d0934caee1004.png)
③
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2094ab8328068098a679e08164392e54.png)
④
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f3e7cbca65688a86ba55b2c73ac62b03.png)
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5 . 已知点
是以
为直径的圆上任意一点,且
,则
的取值范围是______________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f52a58fbaf4fea03567e88a9f0f6e37e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ae5a64bcb77f5f64e4af6930c249a270.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e83b9f01e806bf74042ba41b26423022.png)
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解题方法
6 . 已知函数
的定义域为
,且同时满足下列三个条件:①奇函数,②
,③
,则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/35b5a50fee16dce9d7dc7d90c5daf77e.png)
______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a43b2faa4f81f32d94612dce724e772b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3170408d3830e3eecd4fc0ecf5aaffb3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c08ca6f5702e0bcee6b43bea40c36590.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/35b5a50fee16dce9d7dc7d90c5daf77e.png)
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7 . 已知数列
中,
,则数列
的通项公式为______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e5fa6b5c7004d2dd7fd49a1d12878ce3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
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8 . 已知三棱锥
中,
,
,
,则它的外接球的表面积为______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/63397cda22cb1fad59cf966dfb588643.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/491c3a4f72b84ebadd28b90711435adc.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8456792f49d6c1cd2d7690e57a4b558f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1c72d84886fada881f230cdce6f6b268.png)
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9 . 设数列
前n项和为
,若
,
,则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f87dec4288b1b78929728456409e31ce.png)
___________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/08eb71ecf8d733b6932f4680874dbbf3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b065334d8f60c49f4bd3d9f1373fe4cd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/66bb57489809d95107b3b9796218a955.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f87dec4288b1b78929728456409e31ce.png)
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2022-06-07更新
|
1653次组卷
|
5卷引用:贵阳第一中学2022届5月高三高考适应性月考卷(八)数学(文)试题
贵阳第一中学2022届5月高三高考适应性月考卷(八)数学(文)试题贵阳第一中学2022届5月高三高考适应性月考卷(八)数学(理)试题(已下线)专题26 数列的通项公式-3(已下线)专题24 等差数列及其前n项和-5(已下线)专题14 数列的通项公式(已知递推式)-2
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解题方法
10 . 已知向量
若
则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/43e20d6688c170e86490163d43a32d1d.png)
__________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e9f802203462ffed768ede1e87d3706e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a22a9e2b1d636054a5e9d4ee8ba1ecca.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/43e20d6688c170e86490163d43a32d1d.png)
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