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1 . 设
,则“
”是“
”的( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5ae470980d6e3b53c65b9d42d1f011c5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/61e1bc5b79341efc01d7d1bc39cdeb35.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fb0962aa0f96faef0aeabd5945e77fee.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 |
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2 . 下列结论正确的是( )
A.![]() | B.![]() |
C.![]() | D.若![]() ![]() |
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3 . 传说古希腊毕达哥拉斯学派的数学家用沙粒或小石子来研究数.他们根据沙粒或小石头所排列的形状把数分成许多类,如图的
称为五边形数,若五边形数所构成的数列记作
,下列不是数列
的项的是( )
![](https://img.xkw.com/dksih/QBM/editorImg/2024/3/7/f3d951cc-856e-4887-a17d-d938bb0442a8.png?resizew=402)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a498667c4291fa4b05e0c98a3ea96d6e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/76aef4cdcb5af742ce28003b7b6c8c20.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/76aef4cdcb5af742ce28003b7b6c8c20.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2024/3/7/f3d951cc-856e-4887-a17d-d938bb0442a8.png?resizew=402)
A.35 | B.70 | C.145 | D.175 |
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4 . 已知圆
过
,
,
三点.
(1)求圆
的标准方程;
(2)若点
在圆
上运动,求
的最大值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac047e91852b91af639feec23a9598b2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/98e5cf0973c93007ac0fffa0ef07bf4a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8148a45d42e764fdebaf85dff82b28a8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/362f91c4d7d9907787be84bb34bc4628.png)
(1)求圆
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac047e91852b91af639feec23a9598b2.png)
(2)若点
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8701e0cce437edc830438b4fe6277d89.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac047e91852b91af639feec23a9598b2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d1fc838e1477179b36ca7481ee2cc1e8.png)
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2024-03-07更新
|
136次组卷
|
3卷引用:重庆市缙云教育联盟2023-2024学年高二下学期2月月度质量检测数学试题
5 . 数列
的前
项和为
,满足
,则
( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b6a24198bd04c29321ae5dc5a28fe421.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/08eb71ecf8d733b6932f4680874dbbf3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/29795e58d4269fcb99617ccb3a5ff5f2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/614306cc3f34bdee4d5d885b79667645.png)
A.30 | B.64 | C.62 | D.126 |
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6 . 已知集合
,
,则( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c1ef521a1e3b1dcfb66367ec4fd0d071.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/99b3e0831a124c918d9fa0eca67cf085.png)
A.![]() | B.![]() | C.![]() | D.![]() |
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解题方法
7 . 已知抛物线
的焦点
到准线
的距离为2,则下列说法正确的是( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7e6c830bfa9a1b979a1a9665166424bf.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a0ed1ec316bc54c37c4286c208f55667.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f85fca60a11e1af2bf50138d0e3fe62.png)
A.过点![]() ![]() |
B.若![]() ![]() ![]() |
C.直线![]() ![]() |
D.抛物线![]() ![]() ![]() ![]() |
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解题方法
8 . 在平面直角坐标系中,某菱形的一组对边所在的直线方程为:
,
,另一组对边
,
.则下列命题正确的有( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8b5a0c210fb01fa67c6ae92975e82514.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cd8419b91d1bd3c5823b2b66d90bed31.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9c7aa84db6decf2856dc5ed208fa21d4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a93628c150ebb15e876cd89a1de16e0d.png)
A.![]() |
B.与![]() ![]() ![]() |
C.该菱形的四个顶点共圆 |
D.该菱形的面积为定值 |
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9 . 如图,四棱锥
的底面是正方形,平面
平面
,
,E为BC的中点.
(1)证明:
;
(2)若
为锐角三角形,求直线AE与平面PAD所成角的余弦值的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0585b6c0f156eecf9662b9846d4eb693.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e4aa9084b8fe0fe05c4388d1f835587b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411b38a18046fea8e9fab1f9f9b80a5f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/63e4d19bf237a6fca67e0d01a9ddb726.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2024/3/4/e2a3105d-f623-4ef6-8c50-ad1071af465d.png?resizew=158)
(1)证明:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/304e9d63e7fdc531f4f7b805b765a1b1.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/af2cc5f8cec8c498aa12c99c04e1c97d.png)
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10 . 已知
,
,
为原点,则
的外接圆方程为__________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/60d295a4cc3a58f9f38ee98337313c81.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e3f3cd3027a533dd07220f161c958602.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1dde8112e8eb968fd042418dd632759e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/866b81a8384cce4f24867baca2e6820c.png)
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