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1 . 若关于
,
的三项式
的展开式中各项系数之和为64,则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f3cb8d72bb2e281b943b3b430138ef7.png)
______ ;其中
项系数的最大值为______ .
![](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/e1eb936f10114007b7714efa72b7b946.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f3cb8d72bb2e281b943b3b430138ef7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6f29d5f376c75c41ae6af0c8a8565449.png)
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3卷引用:重庆市第一中学校2023-2024学年高二下学期5月月考数学试题
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解题方法
2 . 已知
,
,
,则
的最小值为______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/08115d6d9f876dea921a4d32260ff1fb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/061813f1ec633c5c4c393c4de7938322.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ad98159fff13440a0823898748eddf09.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/edaa9bd14b224b0a2235fcb2fae58cf6.png)
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3 . 在平行四边形ABCD中,若
,
,则平行四边形ABCD的面积为______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/42083f00cd68320e4e0275400c139551.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/499fd1c359cd78bf067326e4b940acee.png)
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4 . 已知三棱锥
的四个顶点均在球O上,
平面
为等腰直角三角形,A为直角顶点.若
,且
,则球O的表面积为_______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/63397cda22cb1fad59cf966dfb588643.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c45fbffb9e2c7fa7c5006cde8da0cabe.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e1258223a94b8d5790053de9c640db8a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e0470bb4b86ddf002cc5b146c2abe47a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ced1596b1848adb52de3d0943b9fc5f2.png)
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5 . 在正项等比数列
中,
,则
的最大值为_______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e0fdd6661bb04cc216641de7e89d7c96.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/eefc81004f635ff8ec14b3008154724d.png)
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6 . 已知
的最大值为3,则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5b3afddf0af09c9dfc48aa2c87c20556.png)
___________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/345669a1b6a90a2169b26e80b74ffcfe.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5b3afddf0af09c9dfc48aa2c87c20556.png)
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7 . 已知三棱锥
,
为
中点,
,
,且
,
,
,
,则三棱锥
外接球的表面积为______ ,过点
的平面截该三棱锥外接球所得截面面积的最小值为______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/63397cda22cb1fad59cf966dfb588643.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/acc290b44635265137fdf13146b6a6d9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0dc5c9827dfd0be5a9c85962d6ccbfb1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f0d9ef979b9f27a28cbda6923e888ccc.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d900531973c546625694146fa1509ab9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8fd3eb538f36e6e722e4ce125266b99b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ca036d049f5205cf04cb1b9c5cd03f97.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ef0402dd5ae3db10281f9f1e11738bcb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3755b2bcf7516eedb26a27ad73657216.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/63397cda22cb1fad59cf966dfb588643.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/acc290b44635265137fdf13146b6a6d9.png)
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8 . 已知棱长为1的正方体
内有一个动点M,满足
,且
,则四棱锥
体积的最小值为______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6e09725691ee7851f54c0dee86b2bf55.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4a8c425e2bc51c94717ee613f9a6dff0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/440e8409121aff14ec2d2d7f3919a150.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ba0db0dfbebfda04286949b1f11efb36.png)
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9 . 设
且
,则
的最大值为__________
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/69ee6696dee035519e1ba7fb78269830.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/131ac7eb1e911c9a40e84235bf3742ed.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/859e880e86ea03026e38805cb1320359.png)
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2024-06-04更新
|
1223次组卷
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2卷引用:重庆市西南大学附属中学2024届高考全真模拟数学试题
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10 . 已知圆
和抛物线
,F为抛物线C的焦点,若圆M与抛物线C在公共点P处有相同的切线l,且直线l的纵截距为
则实数p的值为______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/33310187e5735b2ded8d82bb78ccd888.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9b018f9658dfb68a30bd928e5d730045.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c8b380a1c7bc573f57f8bcb2fb8d1c2b.png)
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2卷引用:重庆市南开中学校2024届高三下学期第八次质量检测(5月模拟预测)数学试题