1 . 我国古代数学家杨辉,朱世杰等研究过高阶等差数列的求和问题,如数列
就是二阶等差数列.则数列的
前100项和是______ ,数列
前
项和是______
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cbd68ac75561eec410b34a728fe73a3c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2647d128ce3a820d598723bd935e27c8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/33d8f52737a41f038befd6aacc73c6a3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b6a24198bd04c29321ae5dc5a28fe421.png)
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名校
2 . 将数列
中的所有项排成如下数阵:其中每一行项数是上一行项数的2倍,且从第二行起每一行均构成公比为2的等比数列.
![](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/7fd71bc7e6668f90f259ad0b06dd60c2.png)
,
,
,
,
,
,
,![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5bbae9353140c2235610852d04a9a3f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dab783880d7aabc422916886630fc576.png)
记数阵中的第1列
,
,
,
构成的数列为
,
为数列
的前
项和,
,则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/414187fca31df508dbf88d7f2bb83662.png)
______ ,
______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e72adb45c60c2f63b46e65ff787302bf.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3e88093a749c0d46e0ee931ecfaff925.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6c1ccc6c74b8754e9bcbb3f39a11b6f1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/daf464629fa321a6ff7401ab79f07083.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f65fc200f10b97588a0c9896277c9c64.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5da4cd81500bdb43118150dbdb1541e6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7fd71bc7e6668f90f259ad0b06dd60c2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d7da2f386b78cdf6489efaa2f5820d3e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bc858b7a95c5006a44067022da09f667.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3e35eeaabd951fb09b2926807da3685b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0e84c30444f13d37ada78285dc4f83b7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3e76d1d8e50dda4d50229a8a20c57e58.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/eca7e7b23fd74e3cf89ac541cb7a5d88.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/46be9c9b05fd84ac9256d49a5a553af5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5bbae9353140c2235610852d04a9a3f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dab783880d7aabc422916886630fc576.png)
记数阵中的第1列
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e72adb45c60c2f63b46e65ff787302bf.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3e88093a749c0d46e0ee931ecfaff925.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3e88093a749c0d46e0ee931ecfaff925.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/f1ae9a3b0b7aeb1545b65d91aa371b3c.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/2612ac1898372c023663064336b1daab.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/414187fca31df508dbf88d7f2bb83662.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/22458185a169ccd926787f40d1e898ff.png)
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2020-11-29更新
|
335次组卷
|
3卷引用:湖南省娄底市冷水江市第一中学2020-2021学年高三上学期期中数学试题
湖南省娄底市冷水江市第一中学2020-2021学年高三上学期期中数学试题(已下线)第44练 推理与证明-2021年高考数学(文)一轮复习小题必刷江苏省南通市西亭高级中学2020-2021学年高三上学期省模考模拟二数学试题
3 . 已知
均为正实数,且
,则
的最小值为__________ ,此时
的值为__________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/632244ea6931507f8656e1cc3437d392.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5be97cd1c7111b654d87d8fbb63b6a84.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7374ee33cd18f8075f27b6f05f1ea0e7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
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解题方法
4 . 若实数
,
满足
则
的最小值是______ ,最大值是______ .
![](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/ed2f5af7aef52ece15fa23c6b8961c4c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bc6f3c30a6691c86db14441bd51d777d.png)
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5 . 已知函数
,若![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8689919da70abf5aac2ae76ca525a5fe.png)
______ ;若
,则实数
的取值范围是______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c206aab4f2b260e514ea94be3217971c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8689919da70abf5aac2ae76ca525a5fe.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/76c4e3c433af79900fc77f6372a076db.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
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2020-11-29更新
|
471次组卷
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2卷引用:浙江省台州市仙居县文元横溪中学2020-2021学年高三上学期期中数学试题
6 .
的展开式中,常数项是__________ ,
的系数为__________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d8347e6616eafc5ab6c877705b216a4e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9b0a89e3c30f6e4d4c5db4378b05d987.png)
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解题方法
7 .
中,
,
,则角![](https://staticzujuan.xkw.com/quesimg/Upload/formula/26308ea6d8f321d27acbd7f9b131f9f1.png)
__________ ,![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ee7ffcd03649a03a4f1837294f8bb88f.png)
__________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/87e048dc5bce04121470b5e0ce12cea4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fd23610dd5063618003f4c9f316a5f8e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/502491f4e48e1d74ca8cc709840c30b0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/26308ea6d8f321d27acbd7f9b131f9f1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ee7ffcd03649a03a4f1837294f8bb88f.png)
您最近一年使用:0次
2020-11-29更新
|
541次组卷
|
6卷引用:浙江省9+1高中联盟2020-2021学年高三上学期期中数学试题
浙江省9+1高中联盟2020-2021学年高三上学期期中数学试题(已下线)黄金卷06-【赢在高考·黄金20卷】备战2021高考数学全真模拟卷(新高考专用)(已下线)专题17 解三角形(客观题)-2021年高考数学(文)二轮复习热点题型精选精练(已下线)专题18 解三角形(客观题)-2021年高考数学(理)二轮复习热点题型精选精练(已下线)专题17 解三角形(客观题)-2021年高考数学二轮复习热点题型精选精练(新高考地区专用)浙江省2022届高考模拟卷数学试题(一)
8 . 已知
,圆
与
轴交于
两点,且圆
与
轴相切,则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/380bbacf854e30e2e747fc286d2b9997.png)
__________ ,![](https://staticzujuan.xkw.com/quesimg/Upload/formula/258e40e3883271c3580c1d3c805dcac6.png)
__________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c949efec1d90895689492973e4ebb3b8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/401c962d0c926dcb5e8dbe62a2cd0532.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d053b14c8588eee2acbbe44fc37a6886.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9101d4bdc17e972e52b063d440ec1900.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/380bbacf854e30e2e747fc286d2b9997.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/258e40e3883271c3580c1d3c805dcac6.png)
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9 . 已知等差数列
的公差为
,前
项和记为
,若
,则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7c98c59cd4749afdd21e73529fc84323.png)
__________ ,![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7999465d0e871febde66296a0cbf058c.png)
__________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5c02bc0c74292b1e8f395f90935d3174.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/b126010435c46a52c0b7de93eeec84da.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7c98c59cd4749afdd21e73529fc84323.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7999465d0e871febde66296a0cbf058c.png)
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解题方法
10 . 已知数列
的各项均为正数,其前
项和为
,且
,
,则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/42e4487468ab2823d6dbf7f0ebd2eb38.png)
___________ ;若
,则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5af1f1b7e9e20d799ee3c06b89a0611c.png)
___________ .
![](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/4cbb0f2883ddd23be9435fda33e9c611.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15a70b95c53fb6655721e2a8c61f5c2c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/42e4487468ab2823d6dbf7f0ebd2eb38.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/039e4fe671d61e59b96ee525c9df43e8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5af1f1b7e9e20d799ee3c06b89a0611c.png)
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