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                                                                                                                高中语文综合库
                                                                                                                对于正整数集合eqIdfddc809503af418f94e71d0982881c84eqIdc73ad4de0ec14cba91db08ec61124907,eqId9277a91d918447219d400b2439c236ca),如果去掉其中任意一个元素eqIda6f896f51bba4055a34d9797545c0b41eqId57ad90ba1e1a4647af73762065dc88f6)之后,剩余的所有元素组成的集合都能分为两个交集为空集的集合,且这两个集合的所有元素之和相等,就称集合eqIdcc614bd3390c4d028df189b234dcc351为“和谐集”.
                                                                                                                (1)判断集合eqIdb21c10639f5a42cbac7821f18b9569dc是否为“和谐集”,并说明理由;
                                                                                                                (2)求证:集合eqIdfb5a795946e44f9ca04d5bc288a56929是“和谐集”;
                                                                                                                (3)求证:若集合eqIdcc614bd3390c4d028df189b234dcc351是“和谐集”,则集合eqIdcc614bd3390c4d028df189b234dcc351中元素个数为奇数.
                                                                                                                更新:2019/11/17难度系数:0.65题型:解答题组卷:0次
                                                                                                                对于集合eqId2381423d4cd146cab95f55527681a766,定义函数eqId27986262331840b98d44071a0e7c0c85,对于两个集合eqId2381423d4cd146cab95f55527681a766eqId517584fed25c413ba8b7bb33ffa2d5c6,定义集合eqId034f861d847343e480619fa170d6cd2b,用eqIdaec25daeff2d47fda18ec0c5237921c4表示有限集合eqId2381423d4cd146cab95f55527681a766所含元素的个数,若eqIddf1a5f32626f44a5a64ee1e895136ec5,eqId5628284b1cf349ea8680e75815b9a854,则能使eqId185c4b7ab44240798c0ed8ac34254df9取最小值的集合eqId86c70780eab347ccb2043d1d7bc9ed96的个数为________.
                                                                                                                更新:2019/11/17难度系数:0.65题型:填空题组卷:0次
                                                                                                                对于函数eqId6f13759e937144069819aed2ae5a1057,若存在实数eqId3a4208e0040c42ed8b09de2cae9d562e,使得eqIdf08011bffaeb4b0bbb87848eafdac7feeqId7dcd2312d0bf4bb1befdfcc170e45791上的奇函数,则称eqId6f13759e937144069819aed2ae5a1057是位差值为eqId3a4208e0040c42ed8b09de2cae9d562e的“位差奇函数”,判断下列函数:①eqId4005574244bf4d3e9c0b443c1dab27ae;②eqId0ed88373e3d349f69b2e131349b4b713;③eqIdc849966698b946dfb67f33df021d9c55;④eqId4d2ffc6d841446b5aabdfd910f508393中是“位差奇函数”的有(???)
                                                                                                                A.1B.2C.3D.4
                                                                                                                更新:2019/11/17难度系数:0.4题型:单选题组卷:0次
                                                                                                                已知由自然数组成的eqIdd7c5ded96af7486fa63823a1c0851afb元集合eqId9ead3ddbac474b7f8a2690a10c544249,非空集合eqId4ba4d0833b3746cdac653347b9d6e75d,且对任意的eqId984a073ebdc04b348982c22eeec24a83,都有eqId6697e07ecb304f56a1a0e45610339052.
                                                                                                                (1)当eqIdf6349457aaf947d383f925cd9bb53620时,求所有满足条件的集合eqId8754ce8cf7f34f04abb9a0c041f57f5c;
                                                                                                                (2)当eqIddc531a2073984d9c87f35c055670f1cf时,求所有满足条件的集合eqId8754ce8cf7f34f04abb9a0c041f57f5c的元素总和;
                                                                                                                (3)定义一个集合的“交替和”如下:按照递减的次序重新排列该集合的元素,然后从最大数开始交替地减、加后继的数.例如集合eqIdca5dbdbd1e744e1e8dc573d05828cc5c的交替和是eqId88e4b7fd117141209e21487c3fafc8f6,集合eqId052105485dc546a7a9b22c34e73540b1的交替和为eqId8f65c930571d4ff6aa6a50029d46826e.当eqId2d08451fb08c4d8985b5768589b9f7f6时,求所有满足条件的集合eqId8754ce8cf7f34f04abb9a0c041f57f5c的“交替和”的总和.
                                                                                                                更新:2019/11/17难度系数:0.4题型:解答题组卷:0次
                                                                                                                规定eqId01015ffbc0fd45269ec9bbde3c843ab1eqId0b7a5a2225db43cd8ee81c45f7fa338a是两个运算符号,其运算法则如下,对任意实数eqId75cea6bfb0dd486cb2c6c7bac50087ed有:eqId21436d9e99ac4ffb84274b5222574809,eqId9c15fb0513854d4da1b11b4460bd05c2.若eqId5f70be71bd454c418543914339347c6eeqId7b15bcd0f9264747955fe5a7603c125ceqIdb78d2e1bcb3d4b4f98aaf8f51a5a8289,则用列举法表示集合eqIdce21b2b77d864971a29623b56f1cb6bb__________.
                                                                                                                更新:2019/11/17难度系数:0.85题型:填空题组卷:0次
                                                                                                                我国南宋著名数学家秦九韶提出了由三角形三边求三角形面积的“三斜求积”,设eqId992fe44057cf4492895193f3f5398449的三个内角eqIdcc614bd3390c4d028df189b234dcc351eqId8754ce8cf7f34f04abb9a0c041f57f5ceqId19a4eb16029e4550a14f2afe4741a3c3所对的边分别为eqId70a27b6ddf6b478285353abb3b1f3741eqIdaea992e70d4943e49e893817eb885ed7eqIdad7cefefaba947e1a168bca491c4fca1,面积为eqId1b7d8b87b50e4cfdbf89d48980209a52,则“三斜求积”公式为eqIdc923372b559345c08d96d186c4a3a577,若eqId86c6b733815d48b49900eaeb12eaea0aeqIdc455048b6d114e09a99592f762e7a2bc,则用“三斜求积”公式求得eqId992fe44057cf4492895193f3f5398449的面积为(?? )
                                                                                                                A.eqIda2a0ce3781fa4c26b624f5966b7dee44B.1C.eqIdcf32b3b919f04cc18988c622e750e9f1D.eqId767acf51abfd4d97a757561d1a882151
                                                                                                                更新:2019/11/17难度系数:0.85题型:单选题组卷:0次
                                                                                                                如图,学校升旗仪式上,主持人站在主席台前沿D处,测得旗杆AB顶部的仰角为eqIde3aa61c693e143dc95417ac8319291bd俯角最后一排学生C的俯角为eqId5b9656ca004d4dd8b9a63a2e49d32729最后一排学生C测得旗杆顶部的仰角为eqIda1a583bfd2774def9599c509fc7ab0cf旗杆底部与学生在一个水平面上,并且不计学生身高.
                                                                                                                figure
                                                                                                                (1)设eqIdee6398708afe4556a0ebeeea696c5bf9米,试用eqId588f87bc60a44a70a20e4e165fa85872eqId8e15963708e9415da25069fea5906e24表示旗杆的高度AB(米);
                                                                                                                (2)测得eqId4c376312c4504bff919c77c82869edbb米,eqId679a409cc118438da5617b616787d7d3若国歌长度约为50秒,国旗班升旗手应以多大的速度匀速升旗才能是国旗到达旗杆顶点时师生的目光刚好停留在B处?
                                                                                                                更新:2019/11/17难度系数:0.4题型:解答题组卷:0次
                                                                                                                已知eqId982da3835b7946d999cc8604a2ece266eqIdd951487aa2c84adebbd85d63425e0e52eqId59d96c5796f64ab3b9aa1ec2ae41a60a,当eqId24959488b69c40e4bda06c78bba788f7时,均有eqId0cc09b33022740128168f9cc48a08140,求实数eqId70a27b6ddf6b478285353abb3b1f3741的取值范围。
                                                                                                                更新:2019/11/17难度系数:0.4题型:解答题组卷:0次
                                                                                                                已知函数eqId857bb5e85ed8444a84a58c21bfd0fbe4eqId9a6ab8c7a61c43929927e61370ed6826,求函数eqId6a5b5de4688a43989860bcaa8a4c31d5的单调区间。
                                                                                                                更新:2019/11/17难度系数:0.65题型:解答题组卷:0次
                                                                                                                对两个不相等的实数根eqId70a27b6ddf6b478285353abb3b1f3741eqIdaea992e70d4943e49e893817eb885ed7,我们规定符号eqIdb185ed67a37548fd81c86ea454473584表示eqId70a27b6ddf6b478285353abb3b1f3741eqIdaea992e70d4943e49e893817eb885ed7中较大的数,如:eqId40b30a76b6af4422a1bd73681d781341,按照这个规定:方程eqId746e855f4cfc40108c82cf34483ee4aa的解为______.
                                                                                                                更新:2019/11/17难度系数:0.94题型:填空题组卷:0次
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