解题方法
1 . 若
展开式的二项式系数之和为128,则展开式中
的系数为______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/47b12af9f76f37024f3756e644de0315.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
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2 . 已知
,
,
,则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9dc45f0a904c514cee48cab0e9692952.png)
________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cfb0341a980046d3a250cafaf834bfb0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/00c5335c5ae28f4ac92ddd7f5ce6c7d7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/660257c0f8abac7503515d47b7f65fc3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9dc45f0a904c514cee48cab0e9692952.png)
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3 . 若
展开式中的常数项为
,则实数![](https://staticzujuan.xkw.com/quesimg/Upload/formula/380bbacf854e30e2e747fc286d2b9997.png)
______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac0dabc2971860d6313a7cb089802b11.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/72b4cc0ef850fb0fcd51ea490f4f8c9c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/380bbacf854e30e2e747fc286d2b9997.png)
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4 . 已知复数
满足
,则
的最小值为______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e81e59019989b7dc2fb59b037ef6e010.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/64a1621cb90522c90545c3372fade212.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fe708b41ce87fc158edbb43135c14d3d.png)
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4卷引用:浙江省杭州市西湖高级中学2024届高三下学期数学模拟预测数学试题
浙江省杭州市西湖高级中学2024届高三下学期数学模拟预测数学试题湖北省武汉市2024届高三下学期5月模拟训练试题数学试卷上海市 位育中学2023-2024学年高三下学期三模数学试题(已下线)专题06 复数的9种常考题型归类 -《期末真题分类汇编》(北师大版(2019))
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5 . 已知圆台的上底面半径为1,下底面半径为5,侧面积为
,则圆台的高为_________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dd31b6c8c2c291056a97bb05b5211a35.png)
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6 .
则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/eed88494a1c51daa92014abbc34c266e.png)
_____________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9ed6448f66b2aef8c9685ce56054a160.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/eed88494a1c51daa92014abbc34c266e.png)
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7 . 已知
,则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e5a9e78f512845e1d75a0beaa0339be2.png)
_____________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/04ca6fc5083f336bcd865359a7eb8b2a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e5a9e78f512845e1d75a0beaa0339be2.png)
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8 . 袋子中有数字“7”的卡片3张和数字“2”,“3”,“5”的卡片各1张,从中任意取出4张卡片,最多能组成_____________ 个不同的四位数(用数字回答).
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9 . 椭圆
:
(
)的左、右焦点分别为
,
,过
且斜率为
的直线与椭圆交于
,
两点(
在
左侧),若
,则
的离心率为______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1d7aea48c44781a844b5c19191f70f61.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5a0c4c098615c6bc7e6dcf72e5b5201a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f5076289823db419f94e9c0c8f4aafd9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a3fb78c5f885034612c0e030b920143d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f5076289823db419f94e9c0c8f4aafd9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a1c58171a47ab1f8895487636ee275fe.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/5963abe8f421bd99a2aaa94831a951e9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7f9e8449aad35c5d840a3395ea86df6d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a1dfddf2303ea6a515c5d97a8be180d7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
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10 . 已知四棱锥
的底面
为矩形,其中
,点
平面
,点M,N分别在线段
,
上(不含端点位置),其中
,则四面体
的体积最大值为__________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/faeb97acf19bd3b2c6c77c2814df4d2f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411b38a18046fea8e9fab1f9f9b80a5f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f0e887b428c53c47d35413fa5d09b12c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/10c83f8945042b9c8fb2fbdac9308d62.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411b38a18046fea8e9fab1f9f9b80a5f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f52a58fbaf4fea03567e88a9f0f6e37e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/defa5b53043ae802bb1af7d14374406d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/51daa3ead4877292c14136da74895bd9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d8ee6360d6e027611421aa0cbefb8bc2.png)
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