解题方法
1 . 已知
,设集合
,集合
,若
,则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/380bbacf854e30e2e747fc286d2b9997.png)
______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/10bbdef421c976962a270a2beabbad91.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/416073f15f8f3ca7444c1a6d7dd3ab04.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0135df381808119c5f864fb2c9cbba63.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0b05d2be27e8f53e4de3071846dffb41.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/380bbacf854e30e2e747fc286d2b9997.png)
您最近一年使用:0次
2 . 若实数
,
满足
,则
的最小值为______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2c94bb12cee76221e13f9ef955b0aab1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/922b0ee0288c72a56800199c4c1e23a7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e37fe74f1af6fe335d5d15322d175b0b.png)
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3 . 已知复数
,其中
为虚数单位,则
在复平面内所对应的点的坐标为______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d971e248bd035650f7fc77adaea2ba1f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3a7035cd4adda5d72a9fc9f9fda75995.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5fcfebd9f5a57036e6df6b6e14865da3.png)
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解题方法
4 . 设
,
,
是正整数,
是数列
的前
项和,
,
,若
,且
,记
,则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e9a580cb582c782207eea3e1387cc627.png)
______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f0a532e15e232cb4b99a8d4d07c89575.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294f5ba74cdf695fc9a8a8e52f421328.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/83cf38189d5cbf627d2b82ac0eb76006.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b6a24198bd04c29321ae5dc5a28fe421.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/039e4fe671d61e59b96ee525c9df43e8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7b3a76992503393f74712a724e3a0cd3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ae30f0e425814c6b7005e46d65949a86.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7877dccf462e5eb837589fa3ed8a360f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dfa88dd2410bf39672ab47040ba8cf.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e9a580cb582c782207eea3e1387cc627.png)
您最近一年使用:0次
5 . 已知抛物线
的焦点
是双曲线
的右焦点,过点
的直线
的法向量
,
与
轴以及
的左支分别相交
,
两点,若
,则双曲线
的实轴长为______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4856428c4f87eada4e504fce8cc91d1e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a0ed1ec316bc54c37c4286c208f55667.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4bcd8ee2d8367c167d6ae0abc741b6b8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a0ed1ec316bc54c37c4286c208f55667.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f85fca60a11e1af2bf50138d0e3fe62.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3f81cc7f88a8d551586440d58b1797d0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f85fca60a11e1af2bf50138d0e3fe62.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d053b14c8588eee2acbbe44fc37a6886.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4bcd8ee2d8367c167d6ae0abc741b6b8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7f9e8449aad35c5d840a3395ea86df6d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b1674dd6829c5695b9542192cc2f8e77.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4bcd8ee2d8367c167d6ae0abc741b6b8.png)
您最近一年使用:0次
解题方法
6 . 已知
,若
,则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ee224f978e4dce0175985255eebb7d36.png)
______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/32781c27ac690dc0af1e101fec17dc1c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3fe50986f2497adab30ff5c7b90b3d4e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ee224f978e4dce0175985255eebb7d36.png)
您最近一年使用:0次
7 . 为了提高学生参加体育锻炼的积极性,某校本学期依据学生特点针对性的组建了五个特色运动社团,学校为了了解学生参与运动的情况,对每个特色运动社团的参与人数进行了统计,其中一个特色运动社团开学第1周至第5周参与运动的人数统计数据如表所示.
若表中数据可用回归方程
来预测,则本学期第11周参与该特色运动社团的人数约为______ .(精确到整数)
周次 | 1 | 2 | 3 | 4 | 5 |
参与运动的人数 | 35 | 36 | 40 | 39 | 45 |
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ed3c78c94449ff9171197e82e14fdc6d.png)
您最近一年使用:0次
名校
8 . 设
,若
,且
,则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ccc009e82148c32647621725edf12b44.png)
______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/32fd864fb00fbabea34c44ce44895fa6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/553a2b13547ab9fabd8878fbbb8780db.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/eb8e7a2df4185211339d84892de2ddf7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ccc009e82148c32647621725edf12b44.png)
您最近一年使用:0次
2024-04-20更新
|
776次组卷
|
4卷引用:上海市普陀区2024届高三下学期4月质量调研(二模)数学试卷
9 . 设等比数列
的公比为
,则“
,
,
成等差数列”的一个充分非必要条件是______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bba0c5e13b2a855de99c171b45bd5730.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ec161579eb8772cc0238cfee7b3a9c91.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/daf464629fa321a6ff7401ab79f07083.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e86e2e42b4aa93db9241103e7f61766c.png)
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10 . 若向量
在向量
上的投影为
,且
,则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2e8492059b5f228ad882fc58f07e9c70.png)
______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7a2f4b1178f68bd147d1a2a6acd04435.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c94075193c11fe43f2396cff5a485054.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/244db4140995042ce50fc3d645fd7216.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9e38872aea18fd01ee30fc842c7492c0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2e8492059b5f228ad882fc58f07e9c70.png)
您最近一年使用:0次
2024-04-20更新
|
804次组卷
|
3卷引用:上海市普陀区2024届高三下学期4月质量调研(二模)数学试卷