名校
解题方法
1 . 已知
,则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/36750f82587c69e167dc52e44cc3086d.png)
__________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/79f0792dd320fc6561dfe67d34a190b2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/36750f82587c69e167dc52e44cc3086d.png)
您最近一年使用:0次
2024-04-15更新
|
629次组卷
|
3卷引用:贵州省毕节市织金县部分学校2024届高三下学期一模考试数学试题(一)
2 . 定义在
上的可导函数
满足
,若
,则
的取值范围为______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cf3ed15aa3dcc4211fb520b5b942c989.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7f351f52fa39f396de83a37fc7ddaf93.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/77f08f6e40f61d495f2d385dc568b99b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294f5ba74cdf695fc9a8a8e52f421328.png)
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名校
3 . 写出函数
的一条斜率为正的切线方程:______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/841c2b8063fbf48858b7526fed1a1e90.png)
您最近一年使用:0次
2024-04-13更新
|
612次组卷
|
3卷引用:贵州省贵阳市清华中学2024届高三下学期5月高考临考预测数学试题
解题方法
4 . 如果复数
,
,
,
在复平面内对应的点分别为
,
,
,
,复数z满足
,且
,则
的最大值为________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f9edf13e16f94717233962e7ec2fa079.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/897b3236850f1925308136357d4d5899.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/00ed343cf3cad4644ea3d9ca0bd37a8f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f6391054f48da6b0e007e8210677f49b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0d8b9ad2fcfff3dd546c5fdbedfe6238.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4bb8477bcc87b1401970171bf57b9ecb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b2c1fd680a5d355178273c6d6025eb80.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/276bdeecec8e10c149c9653fa5f5facb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7cf49f5ddfb0682255be5cbba1d3626d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fd8af0ca09b38b3ee491816d8bf097c4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1c2d67a223c5b9fd87c060ec8c006d6b.png)
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名校
5 . 在
中,内角
所对的边分别为
,若
成等比数列,且
,则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5f1e5d29de6e4d72bfed62d9c14dde5.png)
_______ ,![](https://staticzujuan.xkw.com/quesimg/Upload/formula/df23cc36e6d0a1f5bfc6b7a1cde0d4b5.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/76f0649064a085fb74c997fb507a9b6d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4cb926a5338553390e23eab672d8e554.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5f1e5d29de6e4d72bfed62d9c14dde5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/df23cc36e6d0a1f5bfc6b7a1cde0d4b5.png)
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2024-04-07更新
|
1181次组卷
|
4卷引用:贵州省安顺市部分学校2024届高三下学期二模考试数学试题
6 . 已知复数
满足
(
为虚数单位),则
的虚部为______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e81e59019989b7dc2fb59b037ef6e010.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a16fc8bfe8c333b06a502033ca1f5bd9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3a7035cd4adda5d72a9fc9f9fda75995.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e81e59019989b7dc2fb59b037ef6e010.png)
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解题方法
7 . 双曲线
:
(
,
)的左、右焦点分别为
,
,过点
直线
与双曲线右支交于
,
两点,点
是
轴上一点,
,
,则双曲线
的离心率为______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2a30f3a8b673cc28bd90c50cf1a35281.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/19f3fa0b40fb0d9b8c62e37316ab3b04.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/94440d3e4c073f94f2b266ff99d50e74.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/67ca5fd57c2c2fcc3c7a574fdd1467d9.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/a3fb78c5f885034612c0e030b920143d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2e9b0f5f44abbc6544a2f672b025b013.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/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1f30acc34f4ee1077532ae6808af2ab2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d3aec335cbb956999b4c53130c548cdb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2a30f3a8b673cc28bd90c50cf1a35281.png)
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解题方法
8 . 三等分角大约是在公元前五世纪由古希腊人提出来的,它和“立方倍积问题”“化圆为方问题”并称为“古代三大几何难题”.公元六世纪时,数学家帕普斯曾证明用一固定的双曲线可以解决“三等分角问题”.某同学在学习过程中,借用帕普斯的研究,使某锐角
的顶点与坐标原点
重合,点
在第四象限,且点
在双曲线
的一条渐近线上,而
与
在第一象限内交于点
.以点
为圆心,
为半径的圆与
在第四象限内交于点
,设
的中点为
,则
.若
,则
的值为__________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6d7b2fe01a33c4825f9974ed9663a99c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1dde8112e8eb968fd042418dd632759e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7f9e8449aad35c5d840a3395ea86df6d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7f9e8449aad35c5d840a3395ea86df6d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d20b5646427bee93f9d0542f91f374b4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ef4113c492885ba7c47fe42ac792578f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0b68df477b3ee45ac0f725db00d465a1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8a58f9947538051854639fb05d876d0e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0b68df477b3ee45ac0f725db00d465a1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/20a541b81584a032f571159ea152c85a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/acc290b44635265137fdf13146b6a6d9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/48ed200cdcec3e0461dc5974f7d3f8d3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9bca735ba25c34964d96a4923cf797a2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
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名校
9 . 已知
,则使不等式
能成立的正整数
的最大值为__________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fc66afc1e6e40f45ffeea65fb2c925bf.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ddac9d23ae90a2c3ad1225bb2388562d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b6a24198bd04c29321ae5dc5a28fe421.png)
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2024-03-31更新
|
979次组卷
|
3卷引用:贵州省贵阳市清华中学2024届高三下学期5月高考临考预测数学试题
解题方法
10 . 已知直四棱柱
的棱长均4,且
,则以
为球心,
为半径的球面与侧面
的交线长为______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6e09725691ee7851f54c0dee86b2bf55.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/72f427d187aad86252e188bd0649bfd7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8455657dde27aabe6adb7b188e031c11.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dbff61fe9d4e93d7cc338489d1c99c40.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e168672b47d7e64dc1b404f8882c7dcf.png)
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