2024高三·全国·专题练习
解题方法
1 . 已知
是等差数列,
是其前
项和.若
,
,则
的值是______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/76aef4cdcb5af742ce28003b7b6c8c20.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/08eb71ecf8d733b6932f4680874dbbf3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b6a24198bd04c29321ae5dc5a28fe421.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9d2e431e46d96891118d651f165aea4a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d7f67e6f9f75fe5e80873eac20abc83b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bc858b7a95c5006a44067022da09f667.png)
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2024高三·全国·专题练习
解题方法
2 . 记等差数列
的前
项和为
,若
,
,则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/adf14ebc775db2414a5a960badca8960.png)
_________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/76aef4cdcb5af742ce28003b7b6c8c20.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/58365ff21052f2f978c11844b002b933.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5f3aaa752e654842dfe0e705b9626b3d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/adf14ebc775db2414a5a960badca8960.png)
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2024高三·全国·专题练习
3 . 已知数列
和
,其中
,
,
的项是互不相等的正整数,若对于任意
,
的第
项等于
的第
项,则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0b48c1cad7bf0ab90e058e0508616346.png)
______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/63d471926f7b27322d90c82b9ce21d3d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5fce83115a50f99e08e9a2db7267aeed.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b0dd3ce757a2ad080ece0e34424fb05f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cca1d86c9f078347773f700fee49d1d8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5fce83115a50f99e08e9a2db7267aeed.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cca1d86c9f078347773f700fee49d1d8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5fce83115a50f99e08e9a2db7267aeed.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/96abfe2da27a63e6affb19a0c80236d9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/63d471926f7b27322d90c82b9ce21d3d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/686ece75006ad358f23314dc8a246e11.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0b48c1cad7bf0ab90e058e0508616346.png)
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4 . 某大学生将参加知识竞赛,答题环节有6道题目,每答对一道题得3分,答错一题扣1分,已知该学生每道题目答对的概率是
,且各题目答对正确与否相互独立,
表示该生得分,则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac87b4bd71432d757c7b78bbd6b2dcfd.png)
______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bf31876698721a199c7c53c6b320aa86.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f022950e0faa45b617d497b01b5292b9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac87b4bd71432d757c7b78bbd6b2dcfd.png)
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名校
解题方法
5 . 已知离散型随机变量的概率分布如下表,则其数学期望
__________ ;
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a2cc3e48490e9c7844595278317c736.png)
P |
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2024·全国·模拟预测
解题方法
6 . 已知正三棱台
的上、下底面积分别为
,且棱台侧面与下底面所成二面角的余弦值为
,则棱台侧面的高为______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/42d3a82b8e587ee890467835bc4e854c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/628a09c244627515cd78f906da62c248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4dac452fbb5ef6dd653e7fbbef639484.png)
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2024高一下·全国·专题练习
名校
7 . 如图,已知由斜二测画法得到的水平放置的四边形ABCD的直观图是一个边长为1的正方形,则原图形的面积为______ .
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8 . i为虚数单位,复数
则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/48b98d4f92b53bc60e8a3c85d0f6213f.png)
_______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d971e248bd035650f7fc77adaea2ba1f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/48b98d4f92b53bc60e8a3c85d0f6213f.png)
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9 . 设随机变量
服从二项分布
,且
,则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/df5be1440d099f464ef46dee39de6010.png)
___________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f022950e0faa45b617d497b01b5292b9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b73fc8a4163d94be65fbe933bf8edda4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5127d08c830f1a7d683687ada2a13df7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/df5be1440d099f464ef46dee39de6010.png)
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名校
10 . 函数
是奇函数,则实数![](https://staticzujuan.xkw.com/quesimg/Upload/formula/46626b75bd7bc420bf32b66e3253b40b.png)
____________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1390f3dabc04ed79c59945d2da76c69a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/46626b75bd7bc420bf32b66e3253b40b.png)
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