名校
1 . 若质数
满足:
,则
的最大值为___________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b39ad04a78e7320dfb3c2580038cff38.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4cff06d1c063525766023834fd4e2a02.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9f0bfac37657cb095fb00cae72b49d10.png)
您最近一年使用:0次
名校
2 . 有一个六位数
,它乘以3后得六位数
,则此六位数为___________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5a61e7b6548a7965af7aaa3591f63a12.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/798d6d157753bc4451d4ffb0bd1daa4e.png)
您最近一年使用:0次
名校
3 . 把三张大小相同的正方形卡片A、B、C叠放在一个底面为正方形的盒底上,底面未被卡片覆盖的部分用阴影表示.若按图1摆放时,阴影部分的面积为
;若按图2摆放时,阴影部分的面积为
,则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e097c8d4c948de063796bd19f85b3a9a.png)
___________
,(填“>”“<”或“=”)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e097c8d4c948de063796bd19f85b3a9a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1e0bd63f55069a3bc870915010b39225.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e097c8d4c948de063796bd19f85b3a9a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1e0bd63f55069a3bc870915010b39225.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2022/9/8/52990e50-d683-45a1-a2ef-d8302f703090.png?resizew=230)
您最近一年使用:0次
名校
4 . 张、王、李、赵四位同学有一人在校外做好事受到表扬,经询问,张说:“是李做的”,王说:“是张做的”,李说:“王说的不对”,赵说:“不是我做的”. 经调查,其中只有一个人说的话正确,那么受表扬的同学是( )
A.张 | B.王 | C.李 | D.赵 |
您最近一年使用:0次
名校
解题方法
5 . 已知曲线
上一动点
到两定点
,
的距离之和为
,过点
的直线
与曲线
相交于点
,
.
(1)求曲线
的方程;
(2)动弦
满足:
,求点
的轨迹方程;
(3)求
的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4bcd8ee2d8367c167d6ae0abc741b6b8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d7f7a7cf83fb9706134edb619d8aa90a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d6cc3f576dcf32e3ec2de59ea8059a4f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4e2031d209711b058f3d278ede3c1d33.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/14dd75003428d5b4071aabbaa4d11cbc.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0c88d9142df6ba8e43c1a93bd04a1362.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4bcd8ee2d8367c167d6ae0abc741b6b8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/12a3efb79f35db8448f3391252ab7d4e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8df332f01628130c084fd46aaca0a4b7.png)
(1)求曲线
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4bcd8ee2d8367c167d6ae0abc741b6b8.png)
(2)动弦
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f52a58fbaf4fea03567e88a9f0f6e37e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/55899a55390743a4dd830402641d2122.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac047e91852b91af639feec23a9598b2.png)
(3)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f979df095c33a0d8edce5c1fab7cad04.png)
您最近一年使用:0次
2022-09-06更新
|
382次组卷
|
2卷引用:上海市行知中学2022届高三上学期开学考试数学试题
6 . 在“立体几何”知识中:①两直线所成角的取值范围是
;②直线与平面所成角的取值范围是
;③二面角的平面角取值范围是
.在“解析几何”知识中;④直线的倾斜角取值范围是
;⑤两直线的夹角取值范围是
;在“向量”知识中:⑥两向量的夹角的取值范围是
;以上概念叙述正确的是( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0aa898d5280ab56f52aeedc2cce370bf.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ff14bdd7f2b48c0ce6ba8696c89fbf68.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f55cfcbb5c5950e18a8452b38bb17036.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83b1d28a098ea5555c89b332fad25b96.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/917ae6fcf56fa6b4fc9852854cd8f78b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f55cfcbb5c5950e18a8452b38bb17036.png)
A.②①④⑤ | B.②③④⑥ | C.③④⑤⑥ | D.②③④⑤ |
您最近一年使用:0次
7 . 一个棱长为2的正方体容器,将8个直径均为1的球放入容器内,容器正中央能放入的最大的球的直径为________ .
您最近一年使用:0次
8 . 直线
(
为常数,且
),则直线倾斜角![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9251dff989f7d60db751b73033dee269.png)
________ (结果用反正切表示).
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8cff0bbf16b63e3ee0d68f2ab8f9236d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/76f0649064a085fb74c997fb507a9b6d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/94ed37ee7432002cd0e0978b2012e184.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9251dff989f7d60db751b73033dee269.png)
您最近一年使用:0次
9 . 阅读下面的材料,然后解析问题:
我们新定义一种三角形,两边的平方和等于第三边平方的k倍的三角形叫做“k倍三角形”(k为正实数).
(1)请根据“k倍三角形”的定义填空(填“锐角”、“直角”或“钝角”)
① 当
时,k倍三角形一定是 三角形;
② 当
时,k倍三角形一定是 三角形.
(2)探究:当
时,已知
为“k倍三角形”,且
,
,求所有满足条件的k值.
(3)拓展:若
是“k倍三角形”,且
,
,
,
.当
时,求
的值.
我们新定义一种三角形,两边的平方和等于第三边平方的k倍的三角形叫做“k倍三角形”(k为正实数).
(1)请根据“k倍三角形”的定义填空(填“锐角”、“直角”或“钝角”)
① 当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5095a28bb1b91bf6bed9e2cfbd76bb18.png)
② 当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/df2817c52144d06555e98131b5e657c4.png)
(2)探究:当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fc329b32ecf0f0532d09a8a21343e8cb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dd967903ed5a6f640a5b801ec8be0070.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fcd0ced286a0fbc7e4862f8147264277.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8f144992e1cbee34868abce1e5ad38c9.png)
(3)拓展:若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dd967903ed5a6f640a5b801ec8be0070.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f149e83812e72efd7dd3dfc78d0134ae.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4c884a45b56bc34d79273b067c1520b2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/df81cda12d7601d58b1d9c7c180c4d66.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8e781a2489271bfd1597cba1bb6f5887.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f8e69866076dcff686a05e9e91e61e68.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3ae0bcf70002c9d5d58ff2b6de206e5a.png)
您最近一年使用:0次
名校
10 . 已知抛物线
(
)经过点
,顶点为
,与x轴交于C、D两点(点C在点D的左边),与y轴相交于点B.
(1)求该抛物线的解析式;
(2)求点B、C、D三点的坐标;
(3)若点P是x轴上的任意一点,试判断
与
的大小关系.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a90385c676848de67293e3ed6bc000fe.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/20849c00c47cbdc43f18d53341b6c4e5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7a19f3e129db559eafde49b35fb777f7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9ec250913c4ea996f20acc1907da19d5.png)
(1)求该抛物线的解析式;
(2)求点B、C、D三点的坐标;
(3)若点P是x轴上的任意一点,试判断
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a13ec9a812274ad0839f20ba17348687.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8e2c9786c8b1c54d8016b76aa34ee475.png)
您最近一年使用:0次