解题方法
1 . 光线从点
射到
轴上,经
轴反射后经过圆
上的点
,则该光线从点A到点
的路线长的最小值是( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4f8c934a5b1e5481440d8de919a3771c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0749142e1d5c8f5b3fb8996643559af7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7f9e8449aad35c5d840a3395ea86df6d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7f9e8449aad35c5d840a3395ea86df6d.png)
A.9 | B.10 | C.11 | D.12 |
您最近一年使用:0次
解题方法
2 . 已知向量
的夹角为
,且
,若
,则
( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b8e8b95a61af300412fc65f846089028.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2d88591679796c52024d11c4de641bdb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e3391576038a1782ce7283ddb46e6ef7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1a35ae9ce2be6d13a97d79d79b0ca219.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dd707b69a11f8de5566f23c1a2a9ff5a.png)
A.![]() | B.![]() | C.![]() | D.![]() |
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解题方法
3 . 已知质数
,且曲线
在点
处的切线方程为
.
(1)求m的值;
(2)证明:对一切
,都有
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/14e2da4647a9925ccc924b0f9f3b40ff.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/942c2141d01bde6b48210c56a17fc75e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7ea9824af71c9da5db5a00ec06063024.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ba8eb06f527d4201b93636710c62d461.png)
(1)求m的值;
(2)证明:对一切
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a6e2e79843faf62dde86bf858d1e0569.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/92222bd1bfa79c6082eea07ced5a98ef.png)
您最近一年使用:0次
2024-05-14更新
|
476次组卷
|
2卷引用:辽宁省葫芦岛市协作校2023-2024学年高三下学期第一次考试数学试卷
4 . 在正四棱台
中,
,
,
为棱
上的动点(含端点),则下列结论正确的是( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6e09725691ee7851f54c0dee86b2bf55.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7d34f4346b90098f34d6f8c49af803a4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e55a2310cbba5e050488cd9296eb195d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e0a851907ada2ac2c3c4880a6736d28a.png)
A.四棱台![]() ![]() |
B.四棱台![]() ![]() |
C.![]() ![]() |
D.![]() ![]() |
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5 . 已知变量
与
的回归直线方程为
,变量
与
负相关,则( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d053b14c8588eee2acbbe44fc37a6886.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e4e84801c624273c969392f5f45c7646.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d053b14c8588eee2acbbe44fc37a6886.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e81e59019989b7dc2fb59b037ef6e010.png)
A.![]() ![]() ![]() ![]() | B.![]() ![]() ![]() ![]() |
C.![]() ![]() ![]() ![]() | D.![]() ![]() ![]() ![]() |
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名校
解题方法
6 . 在
中,角
的对边分别是
,
,
,则“
”是“
是锐角三角形”的( )
![](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/0a6936d370d6a238a608ca56f87198de.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2c94bb12cee76221e13f9ef955b0aab1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/071a7e733d466949ac935b4b8ee8d183.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8fd683ddb2d025bca7ff2545c9fc9f4e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
A.充分不必要条件 | B.必要不充分条件 |
C.充要条件 | D.既不充分也不必要条件 |
您最近一年使用:0次
2024-04-26更新
|
876次组卷
|
3卷引用:辽宁省葫芦岛市协作校2023-2024学年高三下学期第一次考试数学试卷
名校
解题方法
7 . 在半径为5的球体内部放置一个圆锥,则该圆锥体积的最大值为( )
A.![]() | B.![]() | C.![]() | D.![]() |
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2024-04-23更新
|
718次组卷
|
4卷引用:辽宁省葫芦岛市协作校2023-2024学年高三下学期第一次考试数学试卷
辽宁省葫芦岛市协作校2023-2024学年高三下学期第一次考试数学试卷内蒙古自治区呼伦贝尔市2024届高三下学期二模理科数学试题(已下线)宁夏回族自治区银川一中2024届高三下学期第四次模拟考试数学(理)试卷(已下线)模块一 专题5 导数在研究函数性质中的应用B提升卷(高二人教B版)
名校
解题方法
8 . 如图,
为圆锥顶点,
是圆锥底面圆的圆心,
,
是长度为
的底面圆的两条直径,
,且
,
为母线
上一点.
为
中点时,
平面
;
(2)若
,二面角
的余弦值为
,试确定P点的位置.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cf231f8f86fb922df4ca0c87f044cec3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1dde8112e8eb968fd042418dd632759e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f52a58fbaf4fea03567e88a9f0f6e37e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9d78abbad68bbbf12af10cd40ef4c353.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/61128ab996360a038e6e64d82fcba004.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/38a5ed40e239098309bb3c9a5ad28489.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8cea06e3edaaef607d8b78ecf4090d07.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3d4db9b82b67efe45a02fca32bfcf5dc.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3d4db9b82b67efe45a02fca32bfcf5dc.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e448430f520d89044cd537055125247b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/80f747eb5b2d21c9de962cbfd4ec4bb7.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/79684a6e92297749c005e2b23cac9710.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/21d9f756419912dd298a0d6857130c80.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0d037b7c680082a4c1fea62fca54d203.png)
您最近一年使用:0次
2024-04-20更新
|
2561次组卷
|
4卷引用:辽宁省葫芦岛市2024届高三下学期第一次模拟数学试题
名校
解题方法
9 . 已知双曲线G的中心为坐标原点,离心率为
,左、右顶点分别为
,
.
(1)求
的方程;
(2)过右焦点
的直线l与G的右支交于M,N两点,若直线
与
交于点
.
(i)证明:点
在定直线上:
(ii)若直线
与
交于点
,求证:
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d59ab85c075a09d55d69e159e4abb268.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/586d6b7a54a256cb0ecd0ea2d8262f6d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/69fff64ee6ea236550185efc7ed1b598.png)
(1)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/895dc3dc3a6606ff487a4c4863e18509.png)
(2)过右焦点
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a3fb78c5f885034612c0e030b920143d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d50703c46b6153945d718b198f03b4b5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7785afeeaf274892253d04b4f693b367.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
(i)证明:点
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
(ii)若直线
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f50b3ae183997b707d16eb4e7f6712fa.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e69d2b798744645af88a4fa411344a83.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/acc290b44635265137fdf13146b6a6d9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d44ce1d330a34bf5b88efbe7a6b327f7.png)
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2024-04-17更新
|
1203次组卷
|
2卷引用:辽宁省葫芦岛市2024届高三下学期第一次模拟数学试题
10 . 已知椭圆
,A,B为G的短轴端点,P为G上异于A,B的一点,则直线
,
的斜率之积为( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/eda236a74f97b9258ae9cd9f0dd62865.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/20a541b81584a032f571159ea152c85a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2cdba1337ec85fa9722cb4b320a82ae6.png)
A.![]() | B.![]() | C.![]() | D.![]() |
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2024-04-12更新
|
1300次组卷
|
3卷引用:辽宁省葫芦岛市2024届高三下学期第一次模拟数学试题