解题方法
1 . 已知数列
的前
项和为
,且
.
(1)求
的通项公式;
(2)若
,求数列
的前
项和
.
![](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/08eb71ecf8d733b6932f4680874dbbf3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b4d0205cf8011e87232dc289df6150f1.png)
(1)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/444ba56b5d1daf6b7957ed5d3e2fa474.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/034ba25825c13725931c483aa47c9363.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b6a24198bd04c29321ae5dc5a28fe421.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f1ae9a3b0b7aeb1545b65d91aa371b3c.png)
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名校
解题方法
2 . 如图,左车道有2辆汽车,右车道有3辆汽车等待合流,则合流结束时汽车通过顺序共有( )种.
A.10 | B.20 | C.60 | D.120 |
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2024-06-13更新
|
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|
4卷引用:山西省晋城市第一中学校2024届高三下学期高考模拟预测数学试题
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3 . 已知椭圆
与椭圆
有相同的焦点,且
与直线
相切,则椭圆
的离心率为( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/50e48d1edbfb6a5a48f9a95551d1dbc2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9724fd240c60553bffc050d502e9a18a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b1241216f3c1cb5e73043dd1037f556d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3cc13f1877a59f1cedcc8eb9c5ea23a2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b1241216f3c1cb5e73043dd1037f556d.png)
A.![]() | B.![]() | C.![]() | D.![]() |
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2024-06-12更新
|
359次组卷
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2卷引用:山西省临汾市2024届高三下学期考前适应性训练(三)数学试题
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解题方法
4 . 已知
是奇函数,当
时,
,则
( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d275fbb3ee5cd1177ca5a2ceecbbef0f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a6e2e79843faf62dde86bf858d1e0569.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6191663cbb306b5d94adeb8690a2fb97.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/835465790039f65f7ab8a21e4c2254a0.png)
A.1 | B.2 | C.3 | D.4 |
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5 . 已知函数
,若函数
恰有一个零点,则
的取值范围是____________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ce58cbeebe47f14ef0ba403e397ccb6d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/55b6a52548329c263bc70d42a4d876bc.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294f5ba74cdf695fc9a8a8e52f421328.png)
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解题方法
6 . 将一个直径为
的铁球磨制成一个零件,能够磨制成的零件可以是( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cdb26c5cdef6f16f4b39cd091041b439.png)
A.底面直径为![]() ![]() | B.底面直径为![]() ![]() |
C.底面直径为![]() ![]() | D.各棱长均为![]() |
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7 . 如图所示,在三棱锥
中,
与AC不垂直,平面
平面
,
.
;
(2)若
,点M满足
,求直线
与平面
所成角的正弦值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/63397cda22cb1fad59cf966dfb588643.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6e61620a272dada8d4b9a9fab6379dfd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6d077f6da8b2c00b152d4679aa2ed7f7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/787ac5e13622afab5e9f8603afe42356.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4cbb05b8b630052ff544249ebd72d95d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/36c4559d27e3905980d1a4f1856f07de.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7d3e94fe16834409e7688a83fbf7d5ce.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9b1c142967ed69606a3287ded01fcf9e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/20a541b81584a032f571159ea152c85a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/af68a7bf0da4f7c6f739d2e2461ad9b7.png)
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2024-06-11更新
|
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8 . 已知
中,![](https://staticzujuan.xkw.com/quesimg/Upload/formula/801ed511a7bd3f18b3cd737fa293e9f8.png)
是
的中点,且
,则
面积的最大值( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/801ed511a7bd3f18b3cd737fa293e9f8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8455657dde27aabe6adb7b188e031c11.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0dc5c9827dfd0be5a9c85962d6ccbfb1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3f4aca5534bce25acaeb7379deed8f8f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
A.![]() | B.![]() | C.1 | D.2 |
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|
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9 . 设集合
是4与6的公倍数
,
,则( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ce4d5307e3dfb8843f3ed606cbabb805.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c4ca8bdc812627d925f00ed7c145d696.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f41cb3031549496ed2ee4c05b4f82709.png)
A.![]() | B.![]() | C.![]() | D.![]() |
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10 . 在
中,
,且
,则
的面积是________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b1af98f1fb74e141fe4652c337f27bc9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2e7e852e82db2615e716db8c367e854a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
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