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河北省保定市2020届高三上学期10月摸底考试数学(文)试题

适用年级:高三试卷类型:月考试题总数:22浏览次数:0上传日期:2020/3/26
1 . 若复数eqId1c744f1f511147359d01cf92dd3c074f,则eqId7636f89217b345e8a250706836dabaaf(   )
A.eqIde41289c7307b48bd893a195b321d250fB.eqId767acf51abfd4d97a757561d1a882151C.1D.2
难度:0.85组卷:98题型:单选题更新:2020/4/8
2 . 已知集合eqId7f3f0fe0ac344d5abad8f83b25fe3343,集合eqId232901e6933447de9314966e77fa494c,则eqId170a03e31a0e4656b66452088e998e61(   )
A.eqIdf823cfa0c38e4b3f87756acc4e9dfe5bB.eqId18ff1460ce964e5e8adca0e12d3a4fafC.eqIdeba815c7b0f74c5e89bc6d29aed86076D.eqIdda68d6ed63b14ac881cd02bef7b3646f
难度:0.94组卷:39题型:单选题更新:2020/4/8
3 . 已知eqId7325f59d822c4c318b79153587a4f903满足不等式组eqId2d773eb521394882896408c632f19f7f,则eqId69d3b7911aff4b859d84c2c827222987的最大值为( )
A.2B.-2C.1D.-1
难度:0.85组卷:125题型:单选题更新:2020/3/26
4 . 用二分法求方程eqId2b084aff199047ccb040033a367291f0eqId3af07987e2224f3aae2853e5d7551cc6内的近似解,则近似解所在的区间为(   )
A.eqId33e512517c164e65b1f204f8d19b9ec6B.eqId70f50d55796c485e8de80143ab69c701C.eqId7ac9dcb0d756437dad7ec28fe3f6c9d6D.eqId3cbbd6add52f4860a82c1a09c14bea6e
难度:0.65组卷:34题型:单选题更新:2020/4/8
5 . 函数eqId3ecf11e10f76473eaea73689957612b2的大致图象为(   )
A.figureB.figure
C.figureD.figure
难度:0.85组卷:101题型:单选题更新:2020/4/8
6 . 已知圆O中,弦PQ满足eqId6801813cb5824b659f03a42ea8420077,则圆O半径的最小值为(   )
A.eqId5f816d038c584dc7a249120298677ef3B.eqId767acf51abfd4d97a757561d1a882151C.1D.eqId65021072e3ee4edc934739d219c8c5e2
难度:0.4组卷:90题型:单选题更新:2020/4/8
7 . 已知定义在R上的函数eqId4837c94ef0ff4dcf9b1dda4df363275a的导数为eqIdd26cd9f8ad374ae192a20aada45c1618,若满足eqIdfb888abae2f64ff09198f374ca1288fa,则下列结论:①eqIdc6758edf4cdf40d39273feb13f1fb26d;②eqId245a52c3b5d34d56838180653a38c2c2;③eqId5125c50b73a4423aadb9451d6f144530;④eqId1bbc525e24ed4d7cba4d9b6694c63666中,一定正确的个数是(   )
A.4B.3C.2D.1
难度:0.4组卷:71题型:单选题更新:2020/4/8
难度:0.65组卷:147题型:单选题更新:2020/4/8
9 . 已知函数eqId6713febe48884305a506724c7125cef3R上单调递减,则实数a的取值范围是(   )
A.eqIdaf0c28fa6a1e435ba5462b37418b2f99B.eqIdc66f85e271964577843686687d98888eC.eqIdb1d63cc3078c4290bd1ba9de4e6d7662D.eqId643ce60b9c9e4da3b681b770d2ab0627
难度:0.65组卷:40题型:单选题更新:2020/4/8
10 . 已知数列eqId93e38ecd74a24cb59da79181b95bfd3aeqIdeeb4ca98872f4e6d91cea28f43fc0b63满足eqId23b0ae8c2f7647fe834dd14b3ef6db43eqIdd5d47d079fc7445bac6c9bc81638080aeqId9286163a63004a53a7334dc742be02d2,则数列eqId8633d213ffab4917a7564263ed694680的前10项的和为( )
A.eqId0556baa69e2f488e840c3f7f368c25ceB.eqId128b794b683e45aabc5622385b220088C.eqId8af13cd5940d4b19b3bd3634bff5954aD.eqId19c33fb3762f4140ba21716cfc9fdf73
难度:0.65组卷:140题型:单选题更新:2020/3/26
11 . 已知在eqId992fe44057cf4492895193f3f5398449内有一点P,满足eqIdd90b9df34b7542ab874ffe4ceac0f2f7,过点P作直线l分别交边ABACMN,若eqId126d77146593440aa9193728ce9badddeqId36f91bf68eb44ecfb6b09f7f2a96fc0c,则mn的最小值为(   )
A.eqId135af80a94b44df3a0e99896abd944caB.eqId7f4cbc932b504200bd85e1dbb4d96181C.eqIde72c898310bf4fb1a72beeaf8a335d66D.3
难度:0.65组卷:82题型:单选题更新:2020/4/8
12 . 若eqId2ad8d06a8d884f35b088bbcce0d20961,对eqIdafdc97089dd94e18a5b74c7d22df9c7beqIda98f30caf3bb46c3a5134781050e31eeeqId982da3835b7946d999cc8604a2ece266eqIdd951487aa2c84adebbd85d63425e0e52)成立,则a的取值范围是(   )
A.eqId5b474c79f9454f5b96598f7e0ef1a01aB.eqIdf84a5530c82b469b853109005aa37c74C.eqId8f6f6108f9b44ceabe72ab4eeb01d6e4D.eqIde7495324ec2446c0adcdfd21afd2beb6
难度:0.65组卷:0题型:单选题更新:2020/3/26
13 . 已知eqId031abba576b34761a40a6c2c6f42ea55eqId1560e14997024f4ebd952a63c511619d,则pq的________条件.
难度:0.94组卷:31题型:填空题更新:2020/4/8
14 . 在eqId64b9b599fdb6481e9f8d9a94c102300b中,内角eqId10bbe48f886a4fa78fdf8c1fd064f9b4所对的边分别为eqId0ce93bfa1f6a4a23b3258410dd19847a,若eqIda08ce385279d41c789695fb651b17890eqIdacd1636d44e34ddaad7486a1a7b2fb55eqId2c657d507c4f40dd8fdb497fc692f800,则eqIde6581f86694d4da4afaef4d6876ce375__________
难度:0.65组卷:265题型:填空题更新:2020/4/8
15 . 如图,某城市人口呈指数(eqIdf86cc0312aaf42a8afca0305772417b8eqId4f5682ff18d8421ab17ef168f54ca081eqId982da3835b7946d999cc8604a2ece266eqIdd951487aa2c84adebbd85d63425e0e52)增长,则该城市人口从8万人开始增长到16万人,大约需要经过________年.figure
难度:0.65组卷:26题型:填空题更新:2020/4/8
16 . 设数列eqId93e38ecd74a24cb59da79181b95bfd3a的前n项和eqId213dac5ba2a041fc85141db50f2a8618,则eqId6196549f521f4cf79c024878d886d969________.
难度:0.65组卷:0题型:填空题更新:2020/3/26
17 . 已知向量eqIdf087b35a5011425daaafbf14a5e61064eqId5f16eb46594d47b58ffc973b5cc2dd0deqIdfe72fe3d77e34f6e89f18aeb25a9a009是同一平面内的三个向量,且eqIda8fa0144d24f4090bb028daeb55a88ed.
(1)若eqId590de90a82e949c897c82106dd7f5f06,且eqIddc77525487744d9a88e035b00c46f1b3,求eqIdf087b35a5011425daaafbf14a5e61064
(2)若eqId7032af43d52d4c5ab12ff1d493b0e0e9,且eqId19b9e2678ffb400d8e6741101aa74727eqIdec2096e4b91640eba7fae0c5515d8ac6互相垂直,求eqId5f420ef2d0b94c4b8a5d8e20a5d1ce2c.
难度:0.65组卷:106题型:解答题更新:2020/4/8
18 . 设数列eqId93e38ecd74a24cb59da79181b95bfd3a的前n项和为eqIddb5481de79c946c0a760143297d5eadeeqId77b3f6b9955e499dbdab033a38779496eqIdf09a6557d2914b1fa19eba3f9450c9a7.
(1)求证:数列eqId93e38ecd74a24cb59da79181b95bfd3a为等比数列;
(2)求数列eqId816e1c4b601540fd9adab1973ad68c5e的前n项和eqId92ed363a54bd4a8a93df9463bb3af1f5.
难度:0.65组卷:122题型:解答题更新:2020/4/8
19 . 在平面直角坐标系eqId2272a344734c4fb088737b84294f7219中,设eqId64b9b599fdb6481e9f8d9a94c102300b的内角eqId10bbe48f886a4fa78fdf8c1fd064f9b4所对的边分别为eqId0ce93bfa1f6a4a23b3258410dd19847a,且eqId018b9925502446a8aeb9392a407a4a49eqId58d859bd6f7f4ea489c29732c3675ef9.
(1)求eqId19a4eb16029e4550a14f2afe4741a3c3
(2)设eqIda55c6dd114394a819c8cf36d49121f9deqId9768f4b9a22744d9870530a6ab96b0be,且eqIdf9fab689efb2408796cd4deb4a00b4faeqIdba4e50fca553402596e714ea8763e43aeqIde83aba750c90449881406d87140199d0的夹角为eqIdf9db0aee08264a238b9741675591065e,求eqId44bcee43f61e4d4794e1b2a85b022e77的值.
难度:0.65组卷:276题型:解答题更新:2020/4/8
20 . 在一带一路战略引领下,某企业打算从生产基地A,将货物经过公路运输到仓储点D,然后再由列车运输到目的地点C(如图),已知eqIdcb10196d503f462b85b728cf9aed4aa3eqId2807fcad45ad4b3b8490dba6af5d22e6eqId4cf41562509841df9c2bd6d8f0ff3502,记eqIda5bac3dfae074333ad277a8779220a3c.
figure
(1)试用eqIdf9db0aee08264a238b9741675591065e表示ADCD
(2)设从AD汽车的速度为50km/h,从DC火车的速度为100km/h,求由ADC所用的最短时间.
难度:0.65组卷:38题型:解答题更新:2020/4/8
21 . 已知等差数列eqId93e38ecd74a24cb59da79181b95bfd3a的公差为deqId8ca2020af38e40e89edd28f3ea41e1b3,前n项和为eqIddb5481de79c946c0a760143297d5eade,等比数列eqIdeeb4ca98872f4e6d91cea28f43fc0b63的公比为qeqId332298991ed249c2a9933965bc84ff56,若eqId7135e8122e6b41d2bb9a585cf5e8a16feqIdeab1f632dcff4980be85b8074c2b9058.
(1)求数列eqId93e38ecd74a24cb59da79181b95bfd3aeqIdeeb4ca98872f4e6d91cea28f43fc0b63的通项公式;
(2)记eqIdd9dc81b3174e43399e28d4539e9152b6,设数列eqId74ef5fe5183946caaee41d8974816a20的前n项和为eqId92ed363a54bd4a8a93df9463bb3af1f5,求eqId92ed363a54bd4a8a93df9463bb3af1f5.
难度:0.4组卷:0题型:解答题更新:2020/3/26
22 . 已知函数eqIda507c6c4675845cea3b4bfed4bd99e2e.
(1)求函数eqId4837c94ef0ff4dcf9b1dda4df363275a的图象在点eqIddcf5b30f6a19464fa0936e1b3a5a4898处的切线方程;
(2)若eqIde3ea86d846f84051a821a64b36f863d4eqId267e68d0a19b4513a831bbdd635f6eda上有解,求eqId3a4208e0040c42ed8b09de2cae9d562e的取值范围;
(3)设eqIdd26cd9f8ad374ae192a20aada45c1618是函数eqId4837c94ef0ff4dcf9b1dda4df363275a的导函数,eqId8e36348e89f8400bbe580cc90c534660是函数eqIdd26cd9f8ad374ae192a20aada45c1618的导函数,若函数eqId8e36348e89f8400bbe580cc90c534660的零点为eqId761b2917a82b4524b8dbab7e6380f014,则点eqId8fa1cdc8ce384065bd55c5edc6609190恰好就是该函数eqId4837c94ef0ff4dcf9b1dda4df363275a的对称中心.试求eqIde1ee6b76d8fc4e25b91e35d2b4f748a3的值.
难度:0.65组卷:175题型:解答题更新:2020/3/26
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