1 . 在△ABC中,BC=a,AC=b,AB=c.则
等于.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a387cd8af715c8a97661d0a4fbb7118f.png)
A.![]() |
B.![]() |
C.![]() |
D.![]() |
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2013高三·江西·竞赛
2 . 在非钝角
中,证明:
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b36dd92e203b8882b16fc3aabde0eb9c.png)
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2006高三·江西·竞赛
3 . 作出正四面体每个面(三角形)的中位线,共得12条线段.在这些线段中,相互成异面直线时“线段对”有________ 个.
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4 . 设正三棱锥的内切球半径为1.则其体积的最小值为.
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2014高三·江西·竞赛
5 . 已知
.则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e32e1cc0922dfd919f8ec8831da2cee5.png)
________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8f341e490134183275d8a485d01e7c45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e32e1cc0922dfd919f8ec8831da2cee5.png)
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6 . 数列
满足
,
.令
,
,求
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0ea8d0e50065114b05ef2dc1ea1129cf.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bacb17c3d892350c94b2256fd6062f48.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7d7d87047eb29843ec7830972330b476.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bcb2599236018d17434239450e466ef1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b62c1b2dedcf93bd7034d8ca03e99a85.png)
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7 . 已知数列
满足:
,数列
的前n项和为
.则数列
的前n项和
=_______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4510f2c837504514e3efc696140a290e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/08c3600eaf0c3fcb6a9f9cabb4fc4793.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/69bffec2fc8142a99213465207723679.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5fce83115a50f99e08e9a2db7267aeed.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/63f5c583c98a1fd516c6ceaa60b55dec.png)
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2008高三·江西·竞赛
8 . 设
,
是
的小数部分.则当
时,
的值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/386ab14aa81d3bcef55d88b8e63cfab5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/686ece75006ad358f23314dc8a246e11.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/96abfe2da27a63e6affb19a0c80236d9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/28652e52c0b02a343e618935ea625cbf.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/215c0a9a273de67b95fbbe22dcd90b49.png)
A.必为无理数 | B.必为偶数 | C.必为奇数 | D.可为无理数或有理数 |
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9 . 用标有1g,2g,3g,15g,40g的砝码各一个,在某架无刻度的天平上称量重物,如果天平两端均可放置砝码,那么,该天平所能称出的不同克数(正整数的重物)至多有______ 种.
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