名校
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)
您最近一年使用:0次
2024-06-09更新
|
409次组卷
|
3卷引用:江西省景德镇市2024届高三第三次质检数学试题
名校
解题方法
2 . 根据统计数据,某种植物感染病毒之后,其存活日数X满足:对于任意的
,
的样本在
的样本里的数量占比与
的样本在全体样本中的数量占比相同,均等于
,即
,则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4111fbeeb20975034f051295bc7bb1f2.png)
__________ ,设
,
的前n项和为
,则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/04c2864e2ec3416cc4c081ac1f71a0af.png)
___________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a37a59558292ad6b3d0978bfd7484990.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a05d83daef7bb72f157ed504d3a1708c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a7bbadf6bea687b3de5dd1afe160a020.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/71ce9db5574a2df6184bdc7cd13b208a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d3ffd5c35bba71ea54c28622b6cf505d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1fc7e207019873e3b048a13d4876c952.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4111fbeeb20975034f051295bc7bb1f2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5ea3df8f05aab080084fe846c692c321.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/08eb71ecf8d733b6932f4680874dbbf3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/04c2864e2ec3416cc4c081ac1f71a0af.png)
您最近一年使用:0次
2024-06-09更新
|
546次组卷
|
3卷引用:山东省临沂市2024届高三下学期5月高考模拟考试(二模)数学试题
名校
解题方法
3 . 如果函数
在区间[a,b]上为增函数,则记为
,函数
在区间[a,b]上为减函数,则记为
.如果
,则实数m的最小值为________ ;如果函数
,且
,
,则实数![](https://staticzujuan.xkw.com/quesimg/Upload/formula/380bbacf854e30e2e747fc286d2b9997.png)
________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b36f7283eba1e1599ef7ebe8028f5ea9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/74d6aa3319cc5772e60a7a584eb35253.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/78dc718a20513bf3b3ba408c80db1f3b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c28de5a7346d96247de5e809f0d00b38.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/82a99da41115af57a2d17ee3a154e02d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9bd1b6a2269496d136784fb927d7689a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/380bbacf854e30e2e747fc286d2b9997.png)
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2024-06-09更新
|
765次组卷
|
3卷引用:江苏省苏锡常镇四市2024届高三教学情况调研(二)数学试题
江苏省苏锡常镇四市2024届高三教学情况调研(二)数学试题浙江省杭州师范大学附属中学2024届高三下学期高考适应性考试数学试卷(已下线)期末押题卷02(考试范围:高考全部范围)-【帮课堂】2023-2024学年高二数学同步学与练(苏教版2019选择性必修第二册)
名校
解题方法
4 . 设
,
,
,若满足条件的
与
存在且唯一,则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a6c57bbef89a37f1a3808c0ceeac0c22.png)
_______ , ![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8640aafe54018ba013295b68e2946a7a.png)
_______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e28a96ee1e62b7fbc1fb0257ad0deeed.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dd61d59ee2dc6cc43b25b7ee39ca58d2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/243288f8315e8ea94bda2ec3fec6a984.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e170f206fdbbd834aad7580c727e2cc6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5b5858ee1ce52b251816757257a11c29.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a6c57bbef89a37f1a3808c0ceeac0c22.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8640aafe54018ba013295b68e2946a7a.png)
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名校
解题方法
5 . 已知
中,
,
,记
,则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/808382ba1d893826a026d85e0cd67609.png)
_________ ;若
,当
最大时,![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5c95c6fedd33a4a8b2d25c4a2bd8d077.png)
___________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3fe95f656b98b53f71a9d72bf0c9a4b9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/42dfe8aa4868de1181b5263f7a1ed995.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6f0877d52e0b256d24f1877c4f1d3dfc.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a9d9e6ae2b22b22796fc2b4a648ae65b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/808382ba1d893826a026d85e0cd67609.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0b2b622913dfd7d0c099db3bdfed61d5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d22df2977de56cc69be0c1e847653d7a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5c95c6fedd33a4a8b2d25c4a2bd8d077.png)
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名校
解题方法
6 . 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)
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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)
您最近一年使用:0次
8 . 在
中,
,
,M是
的中点,
,则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ae248960d8c1677cf948f8251275e863.png)
______ ,![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5e93d7fd1aa177f3561fd18c1698b04c.png)
______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7099026716ee1821dd7d9f157dc055f5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/21ea52361458ce2e49ed0fe99d8e6c02.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0dc5c9827dfd0be5a9c85962d6ccbfb1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f5fe7c5e288ffc80b6f4e5298a8acb10.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ae248960d8c1677cf948f8251275e863.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5e93d7fd1aa177f3561fd18c1698b04c.png)
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解题方法
9 . 已知正方形
的边长为1,点
满足
.当
时,![](https://staticzujuan.xkw.com/quesimg/Upload/formula/63a171eb7987227fe033ceeb99a79321.png)
______ ;当![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e5085e3cdef9ea6c564e079f745d6fdb.png)
______ 时,
取得最大值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411b38a18046fea8e9fab1f9f9b80a5f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c4c58e3d93a5473d2d24dfcac856cc4a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac1c3ea872a20fdc1843cb5ffce8a554.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/63a171eb7987227fe033ceeb99a79321.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e5085e3cdef9ea6c564e079f745d6fdb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/233ba22f7ffcf96d6efe556e4c7a8edb.png)
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名校
解题方法
10 . 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)
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