名校
解题方法
1 . 已知向量
,若
,则实数a=___ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ede4ae842d0364cc8207704dba0c6003.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9e6f6ad5c612fbd80ceae20f87f6aeff.png)
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|
680次组卷
|
11卷引用:河南省开封市五县2022-2023学年高三下学期开学考试文科数学试题
河南省开封市五县2022-2023学年高三下学期开学考试文科数学试题河南省开封市五县2022-2023学年高三下学期开学考试理科数学试题江西省赣州市、河南省开封市(多地区学校)2023届下学期高三开学考试数学(文)试题新高考地区2022-2023学年高三下学期开学考数学试卷江西省赣州市、河南省开封市(多地区学校)2023届下学期高三开学考试数学(理)试题山西省运城市景胜中学2022-2023学年高一下学期4月月考数学试题(B卷)内蒙古呼伦贝尔市满洲里市第一中学2022-2023学年高一下学期期中考试数学试题(已下线)第二节 平面向量基本定理及坐标表示 核心考点集训江西省贵溪市实验中学2024届高三双向达标月考调研数学试题(三)重庆市育才中学、万州高级中学及西南大学附中2024届高三上学期12月三校联考数学试题(已下线)考点2 平面向量基本定理及坐标表示 --2024届高考数学考点总动员【讲】
解题方法
2 . 已知函数
,
的定义域为
,且
,
,若
为偶函数.
,则
( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4669810732b633b60dbeaf0bf57204f6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a43b2faa4f81f32d94612dce724e772b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/880aca72ae060b259f3df44e682194ac.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6e5084c2098e6bd0396ce682835d9ce0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4669810732b633b60dbeaf0bf57204f6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1f49c4a4dbb963482889afe3ea64ee24.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b76f3a2559cd4f86b79bdf40fbdcc22e.png)
A.24 | B.26 | C.28 | D.30 |
您最近一年使用:0次
2023-02-01更新
|
989次组卷
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3卷引用:河南省开封市五县2022-2023学年高三下学期开学考试理科数学试题
河南省开封市五县2022-2023学年高三下学期开学考试理科数学试题江西省赣州市、河南省开封市(多地区学校)2023届下学期高三开学考试数学(理)试题(已下线)专题2-1 函数性质(单调性、奇偶性、中心对称、轴对称、周期性)-1
解题方法
3 . 已知球
的半径为2,四棱锥的顶点均在球
的球面上,当该四棱锥的体积最大时,其高为______
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1dde8112e8eb968fd042418dd632759e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1dde8112e8eb968fd042418dd632759e.png)
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2023-02-01更新
|
173次组卷
|
4卷引用:河南省开封市五县2022-2023学年高三下学期开学考试理科数学试题
解题方法
4 . 记
为等差数列
的前
项和,已知
,
,则
( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/08eb71ecf8d733b6932f4680874dbbf3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b6a24198bd04c29321ae5dc5a28fe421.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/31f256dc7e3ae23a850f047dd0a50aac.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/afb5c298016799362f239466e2081843.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/33854b6949cf58f84859d3de4056aa5f.png)
A.3 | B.![]() | C.2 | D.![]() |
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|
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2卷引用:河南省开封市五县2022-2023学年高三下学期开学考试理科数学试题
解题方法
5 . 已知
的展开式中
的系数为
,则实数
( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c89dcc897029b8f378ab139f6fb80b6a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d800f03de80068a1172beac3a2c75587.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2ab66291ef17f0d1664cefd6f6bffd31.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a6c57bbef89a37f1a3808c0ceeac0c22.png)
A.![]() | B.![]() | C.![]() | D.![]() |
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|
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2卷引用:河南省开封市五县2022-2023学年高三下学期开学考试理科数学试题
名校
解题方法
6 . 已知
是双曲线
:
的右焦点,
为坐标原点,
是
的右支上一点,若
,
,则
的离心率为( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a0ed1ec316bc54c37c4286c208f55667.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2a30f3a8b673cc28bd90c50cf1a35281.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3040b6c904477030ecf8ba20b2b18759.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1dde8112e8eb968fd042418dd632759e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2a30f3a8b673cc28bd90c50cf1a35281.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/556b4b56463853f64e8e68158b7eac53.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/df38777e3f4be2b87487c86eec77f3b4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2a30f3a8b673cc28bd90c50cf1a35281.png)
A.![]() | B.![]() | C.![]() | D.2 |
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4卷引用:河南省开封市五县2022-2023学年高三下学期开学考试理科数学试题
7 . 已知曲线
在点
处的切线
与
轴交于点
,曲线
在点
处的切线
与
轴交于点
,若
,则
的取小值为( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/723c38736c0ca030d62f68dcfa07e6c0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2e9b0f5f44abbc6544a2f672b025b013.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7f9e8449aad35c5d840a3395ea86df6d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/32bce360ba4c3fe4ed4e044f963f150f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3f6f17bc385bafb37e8f964e5eb99cd0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8455657dde27aabe6adb7b188e031c11.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1ce08b357f11ef44c3e8207ac574422a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/532fb9d8a0715b513e9e3f144ea264e9.png)
A.![]() | B.![]() | C.![]() | D.![]() |
您最近一年使用:0次
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|
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3卷引用:河南省开封市五县2022-2023学年高三下学期开学考试理科数学试题
8 . 已知函数
(
).
(1)讨论
的单调性;
(2)若
,
(
)是
的两个极值点,证明:
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0b5b74839cfd8efbdfbf2640e2883e4f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/22dd8b3dc4c609bab82d356a5cc2208d.png)
(1)讨论
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
(2)若
![](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/26d8dafc71b106f39f4e15442220897b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bde9af87ee7e53b71b44cdabb9aafedd.png)
您最近一年使用:0次
2023-01-31更新
|
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4卷引用:河南省开封市五县2022-2023学年高三下学期开学考试理科数学试题
河南省开封市五县2022-2023学年高三下学期开学考试理科数学试题新高考地区2022-2023学年高三下学期开学考数学试卷江西省赣州市、河南省开封市(多地区学校)2023届下学期高三开学考试数学(理)试题(已下线)拓展五:利用导数证明不等式的9种方法总结-【帮课堂】2022-2023学年高二数学同步精品讲义(人教A版2019选择性必修第二册)
解题方法
9 . 在四棱锥
中,
底面
,
,
,
,
,
.
![](https://img.xkw.com/dksih/QBM/editorImg/2023/2/7/02aada27-ecbf-4745-a517-38416c14c7c1.png?resizew=138)
(1)证明:平面
平面
;
(2)若
,求二面角
的余弦值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0585b6c0f156eecf9662b9846d4eb693.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5a1b49f64e0065edad868b25e9fcada3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411b38a18046fea8e9fab1f9f9b80a5f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1134c8e3440abb6cd385af2c169037fe.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3d2c15801fee2405573677484f5dcfa4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a88c44f558705de3bcefcfc0ece96b8f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1ffc2817fa590affb5a760a25dc65308.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/18834f4ba51bf4d490f35ed02379fec7.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2023/2/7/02aada27-ecbf-4745-a517-38416c14c7c1.png?resizew=138)
(1)证明:平面
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/342d452a7b850cd3a15b23619ad39bd7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e7b7c83470489253394bd288d7c920df.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/58fc6a5e71fa379d613ac1ef1cdf1048.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b33b7213d99a817bff19bcf740a0697c.png)
您最近一年使用:0次
2023-01-31更新
|
357次组卷
|
3卷引用:河南省开封市五县2022-2023学年高三下学期开学考试理科数学试题
解题方法
10 . 已知
的内角A,B,C的对边分别为a,b,c,
.
(1)证明:
为定值;
(2)若
,
,求
的周长.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8422e8218eb90572c9fb1cb3f194ae7b.png)
(1)证明:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/413323ab92f73c1eabb235731bb5c399.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2bd5b9bbd3d22bd2cef53dd4b9691257.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f141ca47d770aee9afb69d1ce16cbf76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
您最近一年使用:0次
2023-01-31更新
|
435次组卷
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3卷引用:河南省开封市五县2022-2023学年高三下学期开学考试理科数学试题