名校
解题方法
1 . 如图,在
中,角
所对的边分别为
,已知
,
的平分线
交边
于点
边上的高为
边上的高为
,
,则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/88ada871ccdbd83b6ccbddbcd84521bc.png)
__________ ;![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7330af1eaa4fbb442ebc7b47be6b6d7a.png)
__________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/24e0c10fb103930eabd5fa18e8f9bb06.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/76f0649064a085fb74c997fb507a9b6d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3a0d44899ceb7b3137a82f2498c6d9b8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/febc9a89d0d1c97b88c0f4acd32b4e67.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d40b319212a7e7528b053e1c7097e966.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/60ef95894ceebaf236170e8832dcf7e3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/78bea1b93dcf0514f157720793da1a81.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/383d609af37a655a531e3e7441cd123e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/afa9e9cc8d1a0e6846523986552693cd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/73d287c4df5c0cac5a4931edb43b01d8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/88ada871ccdbd83b6ccbddbcd84521bc.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7330af1eaa4fbb442ebc7b47be6b6d7a.png)
您最近一年使用:0次
2024-06-16更新
|
218次组卷
|
3卷引用:河南省濮阳市2024届高三第三次模拟考试数学试题
名校
解题方法
2 . 已知四棱锥
的高为
,底面
为菱形,
,
分别为
的中点,则四面体
的体积为________ ;三棱锥
的外接球的表面积的最小值为________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0585b6c0f156eecf9662b9846d4eb693.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/61128ab996360a038e6e64d82fcba004.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411b38a18046fea8e9fab1f9f9b80a5f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/209377196940bffa8ffa5f55b9c59fb6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ad056c25c0fdcbcc765eb5cbc6093f2b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a1443bfe022f648f813fb1e15b2d78b6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/669bf000351b4a5b48d7322ef8e720a1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/63397cda22cb1fad59cf966dfb588643.png)
您最近一年使用:0次
2024-03-13更新
|
1563次组卷
|
7卷引用:河南省济洛平许2024届高三第三次质量检测数学试题
河南省济洛平许2024届高三第三次质量检测数学试题河南省济源、洛阳、平顶山、许昌四市联考2024届高三下学期3月第三次质量检测数学试题辽宁省2024届高三下学期3+2+1模式新高考适应性统一考试数学试卷(已下线)专题15 简单几何体的表面积与体积-《重难点题型·高分突破》(人教A版2019必修第二册)(已下线)数学(全国卷理科02)广东省广州市番禺中学2023-2024学年高一下学期期中考试数学试卷(已下线)专题21 空间图形的表面积和体积-《重难点题型·高分突破》(苏教版2019必修第二册)
解题方法
3 . 已知
中,点
是
中点,点
满足
,记
,
,请用
,
表示![](https://staticzujuan.xkw.com/quesimg/Upload/formula/98ce0da153621bbd05519f168b527e3e.png)
______ ;若
,向量
在向量
上的投影向量的模的最小值为______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8455657dde27aabe6adb7b188e031c11.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/60ef95894ceebaf236170e8832dcf7e3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac047e91852b91af639feec23a9598b2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7ecb91d19a693299dcdad4059b6237a1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7d8a8c17891ffbda9b616bee26d67e07.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a8682ba80b5d1e124e98c8661c753a19.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7a2f4b1178f68bd147d1a2a6acd04435.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c94075193c11fe43f2396cff5a485054.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/98ce0da153621bbd05519f168b527e3e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3df2b42a45880320562c294c768d1a36.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe6d728b430549f00bb9c0a7bf8bf7d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4781e3daa2c4e018ca0ae09bb56abc0f.png)
您最近一年使用:0次
4 . 已知方程
的两根分别为
,
,则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b511c2f126fd5ebe753f0ceb13ec676a.png)
________ ;![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0c1a97f1258df718f8072985ce79110b.png)
________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3ab7fdbe52a712e4765dec6f0d985b93.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c814128ea2139e33db94ea590e7c2223.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/aec19b68e3add9d5bfcc6269a1855b87.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b511c2f126fd5ebe753f0ceb13ec676a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0c1a97f1258df718f8072985ce79110b.png)
您最近一年使用:0次
解题方法
5 . 在等差数列
中,已知
,
与
的等差中项为
,等比中项为
,则通项公式![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e3f7fda69e2b32b9ced2239f915fa59b.png)
________ ;前
项和![](https://staticzujuan.xkw.com/quesimg/Upload/formula/04c2864e2ec3416cc4c081ac1f71a0af.png)
________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/63d471926f7b27322d90c82b9ce21d3d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/065be21c20118f713d288f3a84ad114f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3e88093a749c0d46e0ee931ecfaff925.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f65fc200f10b97588a0c9896277c9c64.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d91e07104b699c4012be2d26160976a2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b8860d9787671b53b1ab68b3d526f5ca.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e3f7fda69e2b32b9ced2239f915fa59b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b6a24198bd04c29321ae5dc5a28fe421.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/04c2864e2ec3416cc4c081ac1f71a0af.png)
您最近一年使用:0次
解题方法
6 . 拋掷两颗质地均匀的骰子,其中白色骰子与黑色骰子各一颗,记事件
为“白色骰子的点数为
或
”,事件
为“两颗骰子点数之和大于
”,则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bec76ffd1e94c9023c2241dbd12df8b5.png)
______ ;![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8836099afaebdb8323cc444c8314f546.png)
______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b8860d9787671b53b1ab68b3d526f5ca.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d91e07104b699c4012be2d26160976a2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7f9e8449aad35c5d840a3395ea86df6d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cd3304e23f3b0f9569c4140ca89b6498.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bec76ffd1e94c9023c2241dbd12df8b5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8836099afaebdb8323cc444c8314f546.png)
您最近一年使用:0次
名校
解题方法
7 . 在
中,点
分别在边
上,
,若
交于点
,则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bf4bcde5a6cb5d00a24fdeab409d6484.png)
__________ ;当
时,
的面积为__________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/91e1e4115d78e625e9e0f47cdade3286.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8cca04b2a2b61d62a809776670a60c09.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ee51da6f7594df55c2392c49ba478cba.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b6b0a3fa475b24f57ecd79c681259561.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e105760638b22b26ff8bec4354255e4c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bf4bcde5a6cb5d00a24fdeab409d6484.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d540c573a17490987b66aa76d135432f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/43bcf9f1acfec083a5478b868efb9c2a.png)
您最近一年使用:0次
2024-06-10更新
|
232次组卷
|
2卷引用:江西省萍乡市2024届高三二模考试数学试卷
名校
解题方法
8 . 在
中,点
,
分别在边
和边
上,且
,
,
交
于点
,设
,
.用
,
表示
为__________ ;若
为
上一动点且
,则
的最小值为_____ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8455657dde27aabe6adb7b188e031c11.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2a30f3a8b673cc28bd90c50cf1a35281.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0dc5c9827dfd0be5a9c85962d6ccbfb1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f52a58fbaf4fea03567e88a9f0f6e37e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/188c4084d1cfff4f1328e24b7621f98a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/11fbc3a1f1e848cf1349b9327be8607d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/03902478df1a55bc99703210bccab910.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4eedae8d316c76e3d0b451256de03fb9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c20cbdfe479954ba2bc33142bc931c33.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/066bca5c293e81c8579c85cb365c4a34.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/64c5562bd4d1b54424330cb6329cd79d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b45ba716f03748c19b7ce2f99af536ab.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/471ac0f42d01c6d6e094b63628586e4d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac047e91852b91af639feec23a9598b2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4eedae8d316c76e3d0b451256de03fb9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4c2b40f03244a180953e5c99c929a723.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a81cef66ee751c4400eda062b694958f.png)
您最近一年使用:0次
名校
9 . 牛顿选代法又称牛顿——拉夫逊方法,它是牛顿在17世纪提出的一种在实数集上近似求解方程根的一种方法.具体步骤如下图示:设r是函数
的一个零点,任意选取
作为r的初始近似值,在点
作曲线
的切线
,设与
轴x交点的横坐标为
,并称
为r的1次近似值;在点
作曲线
的切线
,设与
轴x交点的横坐标为
,称
为r的2次近似值.一般地,在点
作曲线
的切线
,记
与x轴交点的横坐标为
,并称
为r的
次近似值.设
的零点为r,取
,则r的1次近似值为______ ;若
为r的n次近似值,设
,
,数列
的前n项积为
.若任意
,
恒成立,则整数
的最大值为______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0afb80007983e5b99dcdeebf87d18ff4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/79b752f0f189e5d8666daea73e145dff.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8559f5db9b978cb2bd290dbce7268629.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0afb80007983e5b99dcdeebf87d18ff4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2e9b0f5f44abbc6544a2f672b025b013.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2e9b0f5f44abbc6544a2f672b025b013.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c814128ea2139e33db94ea590e7c2223.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c814128ea2139e33db94ea590e7c2223.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a24a2c53e3b0b1c08803e95419f909d3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0afb80007983e5b99dcdeebf87d18ff4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3f6f17bc385bafb37e8f964e5eb99cd0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3f6f17bc385bafb37e8f964e5eb99cd0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/aec19b68e3add9d5bfcc6269a1855b87.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/aec19b68e3add9d5bfcc6269a1855b87.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/232ffacdfbbb7b106f60c11091f2e00a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0afb80007983e5b99dcdeebf87d18ff4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/29a5b0f908cdae073db61be5b42fbcf7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/29a5b0f908cdae073db61be5b42fbcf7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3002f56900c2924bfd79fc3865b0a02e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3002f56900c2924bfd79fc3865b0a02e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7a0876215b2fd463d151523cd3c6b447.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cb534198726521275de13f6c75b32c1b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/909736dad505d81be43aef91e6309bf4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3282e5fde4ae53fcb1bb072a685304c9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4cbbc1b259a1d64b21526296de4b54a2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15a70b95c53fb6655721e2a8c61f5c2c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/76aef4cdcb5af742ce28003b7b6c8c20.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f1ae9a3b0b7aeb1545b65d91aa371b3c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15a70b95c53fb6655721e2a8c61f5c2c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a9935a4fb98ed73171478cb3413c71c7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/df64046e91b047037f19e4032e3b6de3.png)
您最近一年使用:0次
10 . “杨辉三角”是二项式系数在三角形中的一种几何排列,在中国南宋数学家杨辉1261年所著的《详解九章算法》一书中就有出现.如图所示,在“杨辉三角”中,除每行两边的数都是1外,其余每个数都是其“肩上”的两个数之和,例如第4行的第3个数6为第3行中两个3的和.记“杨辉三角”第n行的第i个数为
,请用组合数第n行写出![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bfd9239ca8be8f73bc821afc462977ab.png)
______ ,则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/acbf2c5069319402f2dc76c729657397.png)
______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/50a272adba0f1120109824440f0e252c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bfd9239ca8be8f73bc821afc462977ab.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/acbf2c5069319402f2dc76c729657397.png)
您最近一年使用:0次
2024-04-24更新
|
233次组卷
|
5卷引用:云南省保山市文山州2022-2023学年高二下学期期末考试数学试题
云南省保山市文山州2022-2023学年高二下学期期末考试数学试题广东省广州市西关外国语学校2023-2024学年高二下学期期中数学试题(已下线)专题01计数原理、排列组合、二项式定理9种常考题型归类【好题汇编】-备战2023-2024学年高二数学下学期期末真题分类汇编(人教B版2019选择性必修第二册)(已下线)专题02 第六章 二项式定理--高二期末考点大串讲(人教A版2019)(已下线)专题02 高二下期末真题精选(压轴题 )-高二期末考点大串讲(人教A版2019)