名校
1 . 已知
,则
的最小值为______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c785ad47058eb2125253e0aa4ced2750.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cf490c4806005987640652a36f0b35ad.png)
您最近一年使用:0次
2024-06-09更新
|
745次组卷
|
2卷引用:河南省信阳市新县高级中学2024届高三数学考前仿真冲刺卷
名校
2 . 已知正数
满足
,则
的最小值为_________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1b15bd315b801f71bc30b8d772098614.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b530905506030968e3c192ae63d1294f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/704f858f73063183e5779257900e694d.png)
您最近一年使用:0次
解题方法
3 . 已知点S,A,B,C均在半径为4的球O的表面上,且
平面
,
,
,
,点M在
上,当直线
与平面
所成的角最大时,![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1039601edd7326b628a3201a3d4af948.png)
______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/10c83f8945042b9c8fb2fbdac9308d62.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7bef5239ddbb0972700ce01daf9ee7cf.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/87a0b15556a1584c1b6b2768bbc9cbda.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fa8789dc2754f640b694dbfa59934d52.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/077c956ac0eb05cf120e14f17413dfa2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0dc5c9827dfd0be5a9c85962d6ccbfb1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fddbb7f29e8672f34941fe70b0a1e45f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7bef5239ddbb0972700ce01daf9ee7cf.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1039601edd7326b628a3201a3d4af948.png)
您最近一年使用:0次
名校
解题方法
4 . 在
中,
.则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b1f9fabbbe61a759e52ec975215e2e7c.png)
______ (用弧度制表示),若
为
的中点,且
,则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1f86271ee2b1858cf3f54d57d8473dad.png)
______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f29c36db60dd12810ad2e90989d422bf.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b1f9fabbbe61a759e52ec975215e2e7c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8455657dde27aabe6adb7b188e031c11.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f52a58fbaf4fea03567e88a9f0f6e37e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/89cae28c97255a8d5640377f39be2ecf.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1f86271ee2b1858cf3f54d57d8473dad.png)
您最近一年使用:0次
名校
解题方法
5 . 已知全集
,集合
,
,则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/12fed3bd5bc925cf990e057f43395bff.png)
______ .(结果用区间表示)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fc0dc8098ad6f31bdd87771ca9cfa33a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/64e5f2435f3fe5f6adcd1f516f578f40.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ed541405e180d104069274263300f5d9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/12fed3bd5bc925cf990e057f43395bff.png)
您最近一年使用:0次
名校
解题方法
6 . 已知圆
是过原点且互相垂直的两条直线,若
被
截得的弦长与
被
截得的弦长的比为
,则直线
的斜率![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dd707b69a11f8de5566f23c1a2a9ff5a.png)
______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9f09445e7140218c30e8352b70c75413.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2e9b0f5f44abbc6544a2f672b025b013.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/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bbe103f073845122c66f22dcb14b711f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2e9b0f5f44abbc6544a2f672b025b013.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dd707b69a11f8de5566f23c1a2a9ff5a.png)
您最近一年使用:0次
7 . 已知函数
的图象关于坐标原点对称,若在
的图象上存在一点列:
,
,满足![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7a5d291d4c584b64b17b57ac9c13ea82.png)
且
,那么满足条件的
的最小值为______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f53056914d34644a387a4e782644a89b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/67da6df324c357c6c19a2d0c57b766a6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/db635d11e8a9806e884a7e155326f90b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7a5d291d4c584b64b17b57ac9c13ea82.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1b118436d26fb23aaaf7255083584a04.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6f1cdb5275fbb0cdfa00b07d7b4dbf3c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b6a24198bd04c29321ae5dc5a28fe421.png)
您最近一年使用:0次
名校
解题方法
8 . 已知双曲线
的左、右焦点分别为
,
,
的三个顶点都在
上,且直线
过原点,直线
,
斜率的乘积为3,则双曲线
的离心率为______ ,双曲线
的渐近线方程为______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bce0d4ca414e9e870813ae89721e0fc8.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/15c0dbe3c080c4c4636c64803e5c1f76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac047e91852b91af639feec23a9598b2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0dc5c9827dfd0be5a9c85962d6ccbfb1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/60ef95894ceebaf236170e8832dcf7e3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f52a58fbaf4fea03567e88a9f0f6e37e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac047e91852b91af639feec23a9598b2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/496db617426f8d1e91b38c8cc7f5e7ce.png)
您最近一年使用:0次
名校
解题方法
9 . 在一个棱长为4的正方体内部有一个半径为
的小球,该小球可以在正方体内部自由活动.当任意旋转、晃动正方体并保证小球至少与正方体的一个面相切时,小球球心的轨迹在正方体内部又会形成一个几何体,则小球球心轨迹形成的几何体的体积为________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f89eef3148f2d4d09379767b4af69132.png)
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名校
解题方法
10 . 已知集合
,
,若
,则实数
的取值范围是______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3776e2c76ad743eb10fbb443d74ba431.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/753e2644eb818e15d74d1c9115fe0cf9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0b05d2be27e8f53e4de3071846dffb41.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
您最近一年使用:0次