解题方法
1 . 如图,在四棱锥
中,平面
平面
,底面
为直角梯形,
为等边三角形,
,
,
.
;
(2)点
在棱
上运动,求
面积的最小值;
(3)点
为
的中点,在棱
上找一点
,使得
平面
,求
的值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0585b6c0f156eecf9662b9846d4eb693.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/93edc7bb513f40a89173121c8570cd65.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411b38a18046fea8e9fab1f9f9b80a5f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411b38a18046fea8e9fab1f9f9b80a5f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/55a675310c8ba418e5a59beb7317e21e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f571396be1aa4a8914a66f7d7abd6381.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9060f03b9ee41d70d135b1e1a8902ce9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7ae78aadc0434867ed7fd781574be9f8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ecf6c62979a7aa534a191d8387a741e8.png)
(2)点
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/54a5d7d3b6b63fe5c24c3907b7a8eaa3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/48f3c9abbd78e9a6840ee5f30381daac.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9eda61683bb1d4d62441f0625097b477.png)
(3)点
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac047e91852b91af639feec23a9598b2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d2be49c37e30a3ced0364c3e74d8c687.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/48f3c9abbd78e9a6840ee5f30381daac.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/acc290b44635265137fdf13146b6a6d9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9f33fa5152ba27f7b8a28890cefca219.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/532c7d9eb4015a630d0f2f5038991932.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f8298b274cf88d2fe96bfbb01e249282.png)
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解题方法
2 . 某中学1500名同学参加一分钟跳绳测试,经统计,成绩X近似服从正态分布
,已知成绩大于170次的有300人,则可估计该校一分钟跳绳成绩X在130~150次之间的人数约为______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9ad4446f68716039017630c572f755aa.png)
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3 . 若把函数
的图象向左平移
个单位后得到的是一个偶函数,则
( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c770d5bae90a683ceb617d351d0c49db.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/926d1308d5db144e31b4d0211c63ef52.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/380bbacf854e30e2e747fc286d2b9997.png)
A.![]() | B.![]() | C.![]() | D.![]() |
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4 . 如图,两根绳子把物体M吊在水平杆子AB上.已知物体M的重力大小为20牛,且
,在下列角度中,当角
取哪个值时,绳
承受的拉力最小.( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6268c98375e93cfd430147d7d42d26c8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c24095e409b025db711f14be783a406c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b90e0f35eda1a729fed485f83da5ea9d.png)
A.![]() | B.![]() | C.![]() | D.![]() |
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解题方法
5 . 已知集合
,
,则
( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ff66407cd5e6a2e7e2231e8c07c724e4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/41a7e64f73ba3ad4f6167dc43b3773cd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/95e60375f97ff7854f4d3a8b1108d2e3.png)
A.![]() | B.![]() |
C.![]() | D.![]() |
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名校
解题方法
6 . 在
中,
为
上一点,
为
上任意一点,若
,则
的最小值是( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2a30f3a8b673cc28bd90c50cf1a35281.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/60ef95894ceebaf236170e8832dcf7e3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1feb930d791c77478c939ae89a297192.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/85c4bdfb0db1e31e8459df1d15f9ab55.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7734fe1d1aff8096db067eb4216429d7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/172e8fc1228b95ed78f5c2d65af379e1.png)
A.4 | B.8 | C.12 | D.16 |
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7 . 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)
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|
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解题方法
8 . 在平行四边形
中,
,沿对角线
将三角形
折起,所得四面体
外接球的表面积为
,则异面直线
与
所成角为( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411b38a18046fea8e9fab1f9f9b80a5f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b0b3f2f9b53daae909668120399938a5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d40b319212a7e7528b053e1c7097e966.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7abd284f76d9f5769bc189508ce2572b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/891579e7c231584a8e16b8eeff79888e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4f5f9251b20115e4f9bfc2005ef26f86.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f52a58fbaf4fea03567e88a9f0f6e37e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9d78abbad68bbbf12af10cd40ef4c353.png)
A.![]() | B.![]() | C.![]() | D.![]() |
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9 . 已知0为函数
的极小值点,则a的取值范围是( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/43505c216bd37010b4766638942edb19.png)
A.![]() | B.![]() |
C.![]() | D.![]() |
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名校
解题方法
10 . 已知
,
为奇函数,当
时,
,则集合
可表示为( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/51c530f4b7491b95acb8ce3eef9aa09d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/24a57996290794e082b21d8f1dfc322a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/08115d6d9f876dea921a4d32260ff1fb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8028d9cbe27fc6749398cfcb3f91f8ee.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b660ca5820346753d9b1ee2f2ef33a65.png)
A.![]() | B.![]() |
C.![]() | D.![]() |
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