解题方法
1 . 小鱼和A,B,C,D,E共六个好友在圆桌上用餐,则A坐在小鱼对面且B和C不相对的坐法的种数是__________ .如果圆桌可以旋转后重合,则记为同一种排列方式.
您最近一年使用:0次
解题方法
2 . 已知定义域为
的函数
,其中
代表不超过
的最大整数.设数列
满足:
是
在
上最大值,数列
满足:
且
,则下列说法正确的是( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5ed2f490aac02631c2ed9e6b76354a49.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/38618cc6b1ffc6c8a84c906260337b3b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2c4f5908d6a1217e493ed7586b6964dd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/96abfe2da27a63e6affb19a0c80236d9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4737369d70b1a3144eedcb0c924df616.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e976c0663fa749ca749f99842d21ca03.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3b5cc159f3dfa0534358359ea245338b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/adb8851954f243423781831867aedbdf.png)
A.![]() ![]() |
B.![]() ![]() ![]() |
C.![]() |
D.![]() |
您最近一年使用:0次
3 . 设全集为
,设
是两个集合,定义集合
,则下列说法正确的是( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b52b4f24969673c863b5aff4fb6751ce.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/01c74a907dda6bb7d9d56d009d9df253.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e1ab3275dc436da3cdd6008d5dea3265.png)
A.![]() | B.![]() |
C.![]() | D.![]() |
您最近一年使用:0次
解题方法
4 . 设椭圆
的左、右焦点为
,椭圆上一点
和平面一点
满足
,则
的最大值与最小值之和是( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5e78f1a9cc4dedc05c175ab99b288b9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4d2a97987f71835f519b462f5b8f5957.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a0ed1ec316bc54c37c4286c208f55667.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e9ea91dcba7707db9a70cac100779f43.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3ef1d66e3bc2f3f0e57af70196ba34b2.png)
A.48 | B.50 | C.52 | D.54 |
您最近一年使用:0次
解题方法
5 . 已知三棱锥
底面
为边长为2的等边三角形,
是底面
上一点,三棱锥体积
.则对
的最小值是( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/63397cda22cb1fad59cf966dfb588643.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1dde8112e8eb968fd042418dd632759e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7bef5239ddbb0972700ce01daf9ee7cf.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1ca8e418169236c1bf5c90a2c75c8683.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ddfb6a557e977b80a7e079413eab6c83.png)
A.1 | B.3 | C.![]() | D.![]() |
您最近一年使用:0次
解题方法
6 . 设焦距相同的椭圆
和双曲线
相交于分别位于第一象限、第二象限的
两点,两圆锥曲线的公共左焦点为
,则
的值是( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f036026cd92e9ad059c3f22a7658638.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6f5117e82062dc63c4fb6c60a1673615.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/01c74a907dda6bb7d9d56d009d9df253.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a0ed1ec316bc54c37c4286c208f55667.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/50f446378529ca555617bb248055cf97.png)
A.![]() | B.![]() | C.![]() | D.![]() |
您最近一年使用:0次
7 . 设锐角
满足
,则数据
的极差是( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e170f206fdbbd834aad7580c727e2cc6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c95f916e9a29372c9e912a78fbf64003.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d2117340513deb90d827c0ea2370bc86.png)
A.![]() | B.![]() | C.![]() | D.![]() |
您最近一年使用:0次
8 . 设
,集合
.则“
”是“
”的( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/73254f32b6da29ecc32df2e9f87a4c97.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a5048b79474afd13d995025baa4a2f55.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/46a70d32c64918aa4d1d9d3ce0bdbf7b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1f22fec5a381ae8aca93d876e54c79de.png)
A.充分不必要条件 | B.必要不充分条件 | C.充分必要条件 | D.既不充分也不必要条件 |
您最近一年使用:0次
9 . 设集合
,
,若
,则
( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/92af691969904a903e7cfe5da6964dee.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3cbcd2d3ac946b3a47bdf6ef1d7a7905.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/21ba256288407b6813d324fb9eef0702.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b4b9b470218359a4a47be9244980489e.png)
A.![]() | B.![]() | C.![]() | D.![]() |
您最近一年使用:0次
解题方法
10 . 已知A是抛物线
上一点(异于原点),斜率为
的直线
与抛物线恰有一个公共点A(
与x轴不平行).
(1)当
时,求点A的纵坐标;
(2)斜率为
的直线
与抛物线交于B,C两点,且
是正三角形,求
的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3764ba3aa0a241787f4661026bb14053.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6defc43285a40f7ccb74c1cc04265eba.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2e9b0f5f44abbc6544a2f672b025b013.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2e9b0f5f44abbc6544a2f672b025b013.png)
(1)当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/37e160a7bd8fce232dcaf1fbf0e94ebb.png)
(2)斜率为
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/423b7ae39db552e60ee8b1d27312306f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3f6f17bc385bafb37e8f964e5eb99cd0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/67351fe10fcfc3f9072eec4c60bfaaa5.png)
您最近一年使用:0次
2024-02-28更新
|
263次组卷
|
2卷引用:2024年集英苑冬季竞赛高中数学试题