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1 . 已知p:
;q:
.
(1)若p是q的充分不必要条件,求m的取值范围;
(2)若
是q的必要不充分条件,求m的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b78302bdbfb9abc2a0b72d8007bebebb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fb1c34fd418fc0916b4694808a8062fc.png)
(1)若p是q的充分不必要条件,求m的取值范围;
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7ffc1bb9d53a27d484396ad74d6a26e0.png)
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2 . 已知关于x的不等式
的解集是
,则不等式
的解集是______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5b5f28031b036e4a37be931d5ff28368.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2a8c040948b3937978a23f29c6818646.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c7a3d3229aec36241be3efb0c9926aa4.png)
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2卷引用:甘肃省白银市靖远县靖远县第一中学2023-2024学年高一上学期期中数学试题
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解题方法
3 . 若直线
与直线
垂直,则
( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e26a7ebcdbd284618944ea10cb13e42d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e3b6352408efc633a1706ef3bf23d901.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/380bbacf854e30e2e747fc286d2b9997.png)
A.![]() | B.![]() | C.7 | D.![]() |
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4 . 已知数列
满足
,且
的前n项和为
.
(1)求
;
(2)求数列
的前n项和
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e39fa92ed6942356d9144e4a0176a3b7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/08eb71ecf8d733b6932f4680874dbbf3.png)
(1)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/08eb71ecf8d733b6932f4680874dbbf3.png)
(2)求数列
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/19a643885117f1df06a1a52ca74ef0c2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f1ae9a3b0b7aeb1545b65d91aa371b3c.png)
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解题方法
5 . 已知圆
.
(1)求
的取值范围;
(2)若倾斜角为
的直线
与圆C相交于
,
两点,且
,求
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f3bc22ae063d8b01cfb897842c261e37.png)
(1)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
(2)若倾斜角为
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/be6a6301878fed2a01413020b27310a5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c3016baf1a9ce777f16ea9ce469b2510.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/19efd2f2662ca444c784b69e35f53120.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
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6 . 已知数列
满足
.
(1)求
的通项公式;
(2)求数列
的前n项和
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/75ca7477bb593f96e91eca63e7869864.png)
(1)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
(2)求数列
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/50473ae6386b877564a9fb3b6c352586.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/08eb71ecf8d733b6932f4680874dbbf3.png)
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解题方法
7 .
的内角A,B,C的对边分别为a,b,c.已知
.
(1)求A;
(2)若
,求
的面积.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/69012a36c38163565a2d1ee18f2c68d1.png)
(1)求A;
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/23c71cc0d12cc069bb24fb23b9839d5e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
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解题方法
8 . 已知正四棱锥
的每个顶点都在球O的球面上,球O的表面积为
,且
,则正四棱锥
的高为______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0585b6c0f156eecf9662b9846d4eb693.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/25420b86ceb6e4f36010f058b79242d9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/080ca48cd27d4bf9d9ef084b558fc17a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0585b6c0f156eecf9662b9846d4eb693.png)
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9 . 一个小球从54米高处自由落下,每次着地后又弹回到原来高度的
处,则小球第2次落地时,经过的路程是______ 米;小球第
次落地时,经过的路程是______ 米.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4dac452fbb5ef6dd653e7fbbef639484.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c4f27f84764f1cca89ce3d93fc1cf603.png)
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10 . 若
,则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/82cdc2fb87506cb95a883ae45bdc6b1a.png)
______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5a54d708415e07ff126509128ec1774b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/82cdc2fb87506cb95a883ae45bdc6b1a.png)
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