解题方法
1 . 根据《中华人民共和国道路交通安全法》规定:血液酒精浓度在
(含80)以上时,属醉酒驾车,处十五日以下拘留和三个月以上六个月以下暂扣驾驶证,并处500元以上2000元以下罚款,某地统计了近五年来查处的酒后驾车和醉酒驾车共200人,如图,这是对这200人酒后驾车血液中酒精含量进行检测所得结果的频率分布直方图,下列说法正确的是( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8e65df230f2e14321c9099e2eabb51ca.png)
A.在酒后驾车的驾驶人中醉酒驾车比例不高因此危害不大 |
B.在频率分布直方图中每个柱的高度代表区间内人数的频率 |
C.根据频率分布直方图可知200人中醉酒驾车的约有30人 |
D.这200人酒后驾车血液中酒精含量的平均值约为![]() |
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解题方法
2 . 已知椭圆
的离心率为
,点
到椭圆右焦点距离等于焦距.
(1)求椭圆标准方程;
(2)过点
斜率为
的直线
与椭圆交于
两点,且与
轴交于点
,线段
的垂直平分线与
轴,
轴分别交于点
,点
为坐标原点,求
的值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3324199c6751f2e0e6d8542783b0d957.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/860884c0017c8bceb5b0edff796c144f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/74b605ff5d297bb67af13ecd188466d2.png)
(1)求椭圆标准方程;
(2)过点
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac047e91852b91af639feec23a9598b2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f0a532e15e232cb4b99a8d4d07c89575.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f85fca60a11e1af2bf50138d0e3fe62.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/01c74a907dda6bb7d9d56d009d9df253.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/54a5d7d3b6b63fe5c24c3907b7a8eaa3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f52a58fbaf4fea03567e88a9f0f6e37e.png)
![](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/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5b59af2a746f194631182adc035484fe.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f0a532e15e232cb4b99a8d4d07c89575.png)
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解题方法
3 . 已知函数
.
(1)求函数
在点
处的切线方程;
(2)求函数
的最小值;
(3)函数
,证明:
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3e426f7804ba33a506c8645404cdb95c.png)
(1)求函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d275fbb3ee5cd1177ca5a2ceecbbef0f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6d06e33d079ac1649ee5eea8f61de7cf.png)
(2)求函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/028517e8bebe634441e0a5c79828e88a.png)
(3)函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6289962049a906dde1d22ecfc989813c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fcfd640a0bc9642cfecddaab6d593a10.png)
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4 .
是复数单位,化简
的结果为______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3a7035cd4adda5d72a9fc9f9fda75995.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fbc96e1201d63fe9cfea64aaab392d38.png)
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5 . 设
是等差数列,
是各项均为正数的等比数列,
,
.
(1)求数列
与
的通项公式;
(2)数列
的前
项和分别为
;
(ⅰ)证明
;
(ⅱ)求
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/034ba25825c13725931c483aa47c9363.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7d2321a15e35423a7e85ec684b2b8a12.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/591c8f4062164ea52d6311e593022b97.png)
(1)求数列
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/034ba25825c13725931c483aa47c9363.png)
(2)数列
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/62e567d7e9761951a266953c8d5042ac.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b6a24198bd04c29321ae5dc5a28fe421.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/478421b81927e435cbcf5acafa89efd7.png)
(ⅰ)证明
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e2b414c0b74e1d3831f72e545371b4e4.png)
(ⅱ)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/86117f13f9345c3e8b549ce050d79e12.png)
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6 . 命题
,命题
不都为0,则
是
的( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7c94788465e8ac43ddc4c5281d3351f9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cc7f0e7ed3cbf5854ddbef101cb0dc59.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b1010846eeec6c9da29640f5aa3f8738.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9aa8a716a31b0f51b70fdf9bdb257909.png)
A.充要条件 | B.充分不必要条件 | C.必要不充分条件 | D.既不充分又不必要条件 |
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7 . 已知偶函数
,则下列结论中正确的个数为( )
①
;②
在
上是单调函数;
③
的最小值为
;④方程
有两个不相等的实数根
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/02e99c5267faaf5eae89e481b3c4091b.png)
①
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0b550ee821ee1838384835e81fc34b67.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d562dc22dfb3b81d0c3f88b54d063c2f.png)
③
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0c2df754f77604928c25690dde22b753.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/eb381ac86308c6249bc7e8737cdc668d.png)
A.1 | B.2 | C.3 | D.4 |
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解题方法
8 . 若
,则
的最小值为______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/aa4f9ca31abf12016ce44853838d900c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f183b063afc457270ff3aaa501c0c13d.png)
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9 . 在
的二项展开式中,常数项是______ .(用数字作答)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5b79731094c5133411a0a5e76d9ea9a3.png)
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10 . 已知
,如图所示,点
为
中点,点
满足
,记
,用
表示![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e2d0ccec6c59f86aa8c3b57fabf30059.png)
______ ;当
时![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1bd01707e8d32f277b83c007a5b15bd7.png)
______ .
![](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/0dc5c9827dfd0be5a9c85962d6ccbfb1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8455657dde27aabe6adb7b188e031c11.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8dfd76585cf7eece74fdd50acefd1ada.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b3ceac772dba008adf20e589703bd7e5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0b172cf8d898883d82e973f28c3c3a3e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e2d0ccec6c59f86aa8c3b57fabf30059.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d26c541bcbd80642c5b51150d95134e5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1bd01707e8d32f277b83c007a5b15bd7.png)
您最近一年使用:0次