1 . 已知数列
的通项公式为
为其前
项和,
.则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/10810362d1a6fe5180e18fbbfac5b475.png)
_________ ,![](https://staticzujuan.xkw.com/quesimg/Upload/formula/37c8dab8cfeaa2e100d1bb6b26a885ea.png)
_________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/60085b5c9b0815bb9b3b28d7bd589735.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b6a24198bd04c29321ae5dc5a28fe421.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/529921a0e5c6a6113c71d3a952b39264.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/10810362d1a6fe5180e18fbbfac5b475.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/37c8dab8cfeaa2e100d1bb6b26a885ea.png)
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解题方法
2 . 若
为定义在
上的偶函数,且
为奇函数,
,则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a366bfb38421b66fe2b4256750a745bc.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/f465581295115ae9f07f82a1396cd844.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/af9da4fdfdddc259dcef9fdd4b826b64.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a366bfb38421b66fe2b4256750a745bc.png)
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解题方法
3 . 已知一个圆台的上、下底面半径分别为1和3,高为
.若圆台内有一个球,则该球体积的最大值为__________ .(球的厚度可忽略不计)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/38387ba1cadfd3dfc4dea4ca9f613cea.png)
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2024-03-03更新
|
608次组卷
|
2卷引用:贵州省贵阳市2024届高三下学期适应性考试数学试卷(一)
名校
解题方法
4 . 设
分别为椭圆
的左、右焦点,
为椭圆
的上顶点,直线
与椭圆
的另一个交点为
.若
,则椭圆
的离心率为__________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4d2a97987f71835f519b462f5b8f5957.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ad523e69a1bf925e73a22900b9855df2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7f9e8449aad35c5d840a3395ea86df6d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/acbad65b3d744b70da2480eee1cdb587.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/906e3b2bcdff1a42cdab006b26d85e7b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
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2024-03-03更新
|
1021次组卷
|
5卷引用:贵州省贵阳市2024届高三下学期适应性考试数学试卷(一)
名校
5 . 核桃(又称胡桃、羌桃)、扁桃、腰果、榛子并称为世界著名的“四大干果”.它的种植面积很广,但因地域不一样,种植出来的核桃品质也有所不同:现已知甲、乙两地盛产核桃,甲地种植的核桃空壳率为
(空壳率指坚果,谷物等的结实性指标,因花未受精,壳中完全无内容,称为空壳),乙地种植的核桃空壳率为
,将两地种植出来的核桃混放在一起,已知甲地和乙地核桃数分别占总数的
,
,从中任取一个核桃,则该核桃是空壳的概率是______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c7a32a7dc4004cc5d940f8f6197e90ec.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5fb87b1f8c5360629d063192eadb8230.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/358d1067c81a8f997a4d457088a769d5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2d0797a4e8f5cb2a7746ce2e4ea4e81f.png)
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2024-03-01更新
|
866次组卷
|
4卷引用:贵州省贵阳市第一中学2024届高三下学期一模考试数学试题
贵州省贵阳市第一中学2024届高三下学期一模考试数学试题(已下线)7.1.1条件概率7.1.2全概率公式 第三练 能力提升拔高黑龙江省齐齐哈尔市恒昌中学校2023-2024学年高二下学期4月月考数学试卷(已下线)第7.1.2讲 全概率公式-2023-2024学年新高二数学同步精讲精练宝典(人教A版2019选修第三册)
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6 . 已知直线与抛物线
交于
,
两点,抛物线的焦点为
,
为原点,且
,
于点
,点
的坐标为
,则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/248f9bb8dd23ab0fa70e774678d91641.png)
______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/62c2f156b05838deaae6a35acad242af.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7f9e8449aad35c5d840a3395ea86df6d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a0ed1ec316bc54c37c4286c208f55667.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1dde8112e8eb968fd042418dd632759e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ff943294f05b35ff92e559fa7dc891bd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6cee097d4fe948c3d4f1b5c28b24adf3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8455657dde27aabe6adb7b188e031c11.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8455657dde27aabe6adb7b188e031c11.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/29f48e1c656aace41360467f254e359d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/248f9bb8dd23ab0fa70e774678d91641.png)
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名校
7 . 如图,表面积为
的球面上有四点
,
,
,
,
是等边三角形,球心
到平面
的距离为3,若平面
平面
,则三棱锥
体积的最大值为______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f08a01aed02ce1eaf1aaefaa0342b7ad.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cf231f8f86fb922df4ca0c87f044cec3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7f9e8449aad35c5d840a3395ea86df6d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1dde8112e8eb968fd042418dd632759e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7bef5239ddbb0972700ce01daf9ee7cf.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/448cbac9a1ef3de7538a6b30cdc39582.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7bef5239ddbb0972700ce01daf9ee7cf.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/92b6e35cafc6fadadd22e1b31f14d800.png)
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8 . 二项式
的展开式中含
的系数为______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5e0a2e060051f340a596f185fd66147e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9b0a89e3c30f6e4d4c5db4378b05d987.png)
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9 . 拓扑结构图在计算机通信、计算机网络结构设计和网络维护等方面有着重要的作用.某树形拓扑结构图如图所示,圆圈代表节点,每一个节点都有两个子节点,则到第10层一共有______ 个节点.(填写具体数字)
![](https://img.xkw.com/dksih/QBM/editorImg/2024/1/30/553f2881-4150-4f3a-b8b8-5d61f2d4f337.png?resizew=150)
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10 . 过点
作曲线
的切线,请写出切线的方程______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d6603d0aa20d5855490c5d16e8634477.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/938ff61757a67f266a910219fa0dd995.png)
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