名校
1 . 已知直线
与圆
交于
、
两点,
线段
的中点,则
.试用类比思想,对椭圆写出结论:______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f85fca60a11e1af2bf50138d0e3fe62.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c3503d330608e7138d1b529aba4512fa.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/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f52a58fbaf4fea03567e88a9f0f6e37e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8f2911a7274b9ca11e477e37cc2c173c.png)
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8-9高二下·辽宁锦州·期末
2 . 在等差数列
中,有
,其中
分别是
的前
项和,用类比推理的方法,在等比数列
中,有________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b0242e98ae52be08247a7cd2bafd806d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/057ff2c35d2bbe68dcb65f5786b631f3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8f361cfa414b52679ba2b700d809b090.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/034ba25825c13725931c483aa47c9363.png)
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名校
3 . 如图,在平面直角坐标系xoy中,将直线y
与直线x=1及x轴所围成的图形绕x轴旋转一周得到一个圆锥,圆锥的体积V圆锥
π(
)2dx
据此类比:将曲线y=x2(x≥0)与直线y=2及y轴所围成的图形绕y轴旋转一周得到一个旋转体,该旋转体的体积V=_____ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c6d646b401e82d308c21d9ce58af6cff.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/779f2db90330906debc64a2bd0bc06f5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1020afcfd8b7de38dfd825373b86bdea.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6aedd96074768753debcd53bf3821661.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2022/12/31/9c64f886-6b9c-4213-9191-ce4a4cc5c437.png?resizew=314)
您最近一年使用:0次
2019-12-27更新
|
200次组卷
|
3卷引用:湖南省衡阳市第一中学2018-2019学年高二上学期期末数学(理)试题
名校
4 . 把数列
的所有数按照从大到小的原则写成如下数表:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4f2d42c25db1b6832cb3e4c4935a37b1.png)
第
行有
个数,第
行的第
个数(从左数起)记为
,则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/951fc8c682fd75a8c8329629668fe860.png)
________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/31735b63a98b9babf437bf6620043d39.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4f2d42c25db1b6832cb3e4c4935a37b1.png)
第
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f0a532e15e232cb4b99a8d4d07c89575.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bb478a4519aec71aedec96721956f2ad.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/36a1b09c653185842513e24ebba60bb3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5873c01192b7d33b7483f444f90b5b0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/30b4baf6e03589fe63981c48f4a83e69.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/951fc8c682fd75a8c8329629668fe860.png)
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5 . 在数列
中,若
,则
,
,
,
,
,
,
构成公差为2的等差数列.类比上述性质,相应地,在数列
中,若
,则可得结论是:______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c31aaeac3589bfc4f295f5ca8adedcff.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e72adb45c60c2f63b46e65ff787302bf.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6c1ccc6c74b8754e9bcbb3f39a11b6f1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f65fc200f10b97588a0c9896277c9c64.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7fd71bc7e6668f90f259ad0b06dd60c2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/37e5531913e2f170465d8df01795cd51.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0e20d6d31d98713228480757c4efc8fa.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/37e5531913e2f170465d8df01795cd51.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/034ba25825c13725931c483aa47c9363.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ef1f021d9ddedf6a4ca994e5ff97c32c.png)
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6 . 已知
,
,
,
,若
(
、
均为正实数),根据以上等式,可推测
、
的值,则
等于( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/912fb9e87d1ba443de3706d6d6520c28.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4cfe3ac71eb9e6e20846fa092da7ba68.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2f854c72c35f65fc424e52fc4646cc71.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/37e5531913e2f170465d8df01795cd51.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e764b67fdb57057f76a33fcffa75a50e.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/294f5ba74cdf695fc9a8a8e52f421328.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b6a24198bd04c29321ae5dc5a28fe421.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8fd1f0ace9ca0b79929e73af6c201c2e.png)
A.![]() | B.![]() | C.![]() | D.![]() |
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7 . 因为正弦函数是周期函数,
是正弦函数,所以
是周期函数,以上推理( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/493e27e69e037622fa55e600fee87a3a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/493e27e69e037622fa55e600fee87a3a.png)
A.结论正确 | B.大前提不正确 | C.小前提不正确 | D.全不正确 |
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8 . 将正整数排成如表,则在表中第
行第
个数是________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5021dda43ea360fb7b1102c1a462693a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e97b325f43a8d0975cb2fb0c59a36b2f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f2162d0e3368ce0c9a5eb67f83e24afb.png)
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2019-09-24更新
|
861次组卷
|
2卷引用:湖南省娄底市2018-2019学年高二上学期期末考试数学(文)试题
名校
9 . 设
,则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/410f35063eaf42b8465193fd4bfdd491.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a75f7f8bd7aedbb9df557ac48d120450.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/410f35063eaf42b8465193fd4bfdd491.png)
A.![]() | B.![]() | C.![]() | D.![]() |
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名校
10 . 已知数列
的通项公式是
,若将数列
中的项从小到大按如下方式分组:第一组:
,第二组:
,第三组:
,…,则2018位于第________ 组.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9260f8989cfd0ffca5a49ffbc0668f14.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3247f03357462fec934f37c65ebdc77e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/811cbfc02ca75c4feb5d8692e8d78a3b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e2fd28cf789a0be36cfa9e2215b6fd9c.png)
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