海南省海口市高考数学调研测试试题 理(PDF) 试题.pdf

２０１９!"#$%&'()*+,*-.&/0（12）１－２ｉ－１－３ｉ１３１．Ｄ狕＝＝＝－－ｉ．１＋ｉ２２２２．Ｂ∵犃＝｛狓｜－２≤狓≤２，!狓≠０｝，∴犃∩犅＝｛狓｜－１＜狓≤２，!狓≠０｝．３．Ｄ"#$%&'(、)(、*(+,%&-./012345678，9:%&;<=>．２２４．Ｂ"犪＝１，犫＝８，?犪＝１，犮＝３，@｜犕犉１｜＋｜犉１犉２｜－｜犕犉２｜＝｜犕犉１｜－｜犕犉２｜＋｜犉１犉２｜＝－２犪＋２犮＝４．２３３狀－１５．Ａ∵狓（狓－５）＝（狓＋１０），∴狓＝－４，狓＋１０＝６，AB狇＝－，∴犪狀＝－４×（－）．２２６．Ｄ∵ｓｉｎ４０°＜１＜ｌｏｇ３４，ｌｎ０．４＜０＜ｔａｎ２２６°，ｃｏｓ（－２０°）＝ｃｏｓ２０°＝ｓｉｎ７０°＞ｓｉｎ６５°，∴CDＡ，Ｂ，Ｃ，１ｔａｎ４１０°＝ｔａｎ５０°＞１＞ｓｉｎ８０°＞＞ｌｏｇ５２，9EＤ．２７．ＣFGHI&J（KL），HMNOP狕＝狓＋２狔QRS（２，３）T，狕U?VWX，!VWXY８．３５２３３２５８．Ｃ（槡２＋狓）/Z[\)]^Y4_^/`YＣ５（槡２）狓，狓，9ab]^cdY２０＋１＝２１．３３烄＝犽①，９．ＡefSY（狓０，犽狓０－２），∵狔′＝，∴狓０"①?犽狓０＝３，gh②?１＋３ｌｎ狓０＝１，狓烅烆犽狓０－２＝１＋３ｌｎ狓０②，@狓０＝１，犽＝３．２１１１１１０．Ｂ"犪１＝２，犪３＝犪１犪７，b?犱＝１，HM犪狀＝狀＋１，ai＝－，jkl`mnH?犛２０１９＝（犪狀犪狀＋１狀＋１狀＋２２１１１１１１１１１２０１９－）＋（－）＋（－）＋…＋（－）＝－＝．３３４４５２０２０２０２１２２０２１４０４２１１０１１．Ｂ"o0K、p0KM$qrstuY２!vwxY×２×（１＋４）＝５/yz{，|sxY．}+z~２３５/sxY８，9sxBY．１２烄狔＝２狓＋犿２２１２．Ａ"烅狓２，?２１狓＋２０犿狓＋５犿－５＝０．＋２＝１烆５狔２０犿５犿２－５e犃（狓１，狔１），犅（狓２，狔２），@狓１＋狓２＝－，狓１狓２＝，２１２１２２２２槡５槡２０（２１－犿）１０槡２１－犿｜犃犅｜＝槡１＋２（狓１＋狓２）－４狓１狓２＝＝．槡２１２１｜犿｜}犗OP犃犅/€犱＝，槡５犿２＋２１－犿２２２槡５×１槡５槡犿（２１－犿）２槡５@△犃犗犅/wx犛＝犱·｜犃犅｜＝≤＝，２２１２１２２１N!‚N犿２＝２１－犿２，ƒ犿２＝T，△犃犗犅/wxU?V6X．２１０槡２１－犿２５槡４２„T，｜犃犅｜＝＝．２１２１１３．８"６犪×ｃｏｓ６０°＝２４，?犪＝８．π２π１４．π…†‡H?犵（狓）＝ｓｉｎ（２狓－），9犜＝＝π．６２【２０１９!"#$%&'()*+,*-·.&/01１2（3４2）45】·１９－０１－２３９Ｃ·书１１１５．（０，）∵犳（狓）＞１＋ｌｏｇ２犪，∴１＋ｌｏｇ２犪＜０，@０＜犪＜．２２２２４槡３０１＋１＋犿２１６．ˆM犗犃，犗犅，犗犆‰‰ŠO，@４π×＝６π，@犿＝２，‹Œ犃→犅＝（２，０，－１），@ｃｏｓ〈犃→犅，３０４１槡３０犗→犇〉＝＝．槡５×６３０１１７．：（１）∵ｔａｎ犆＝槡３５，∴ｃｏｓ犆＝，ŽŽŽŽŽŽŽŽŽŽŽŽŽŽŽŽŽŽŽŽŽŽŽŽŽŽŽ３;６１１７∴ｃｏｓ２犆＝２×（）２－１＝－．ŽŽŽŽŽŽŽŽŽŽŽŽŽŽŽŽŽŽŽŽŽŽŽŽŽŽŽŽŽ５;６１８（２）e△犃犅犆/犃，犅，犆/‘’;“Y犪，犫，犮．∵３ｓｉｎ犃＝２ｓｉｎ犅，∴３犪＝２犫，ŽŽŽŽŽŽŽŽŽŽŽŽŽŽŽŽŽŽŽŽŽŽŽŽŽŽŽŽŽŽ６;∵犃犆－犅犆＝犫－犪＝１，∴犪＝２，犫＝３．ŽŽŽŽŽŽŽŽŽŽŽŽŽŽŽŽŽŽŽŽŽŽŽŽŽŽŽ８;"”•–_H?犮２＝犪２＋犫２－２犪犫ｃｏｓ犆＝１３－２＝１１，ŽŽŽŽŽŽŽŽŽŽŽŽŽŽŽŽŽŽŽŽ１０;@犮＝槡１１，△犃犅犆/—˜Y５＋槡１１．ŽŽŽŽŽŽŽŽŽŽŽŽŽŽŽŽŽŽŽŽŽŽŽŽŽŽ１２;１８．（１）™š：›K，œ犃犆１，犅犆１．ŽŽŽŽŽŽŽŽŽŽŽŽŽŽŽŽŽŽŽŽŽŽŽŽŽŽŽŽŽŽ１;ž+z~犃犅犆－犃１犅１犆１)，犈Y犃犆１/)S．ŽŽŽŽŽŽŽŽŽŽŽŽŽŽŽŽŽŽŽŽŽŽŽ２;}ŸY犉Y犃犅/)S，ai犈犉∥犅犆１．ŽŽŽŽŽŽŽŽŽŽŽŽŽŽŽŽŽŽŽŽŽŽŽŽŽŽŽŽŽŽŽŽŽŽŽŽ３;}犈犉w犅犆犆１犅１，犅犆１w犅犆犆１犅１，ai犈犉∥w犅犆犆１犅１．ŽŽŽŽŽŽŽŽŽŽŽŽŽŽŽŽŽŽŽŽŽŽŽŽŽŽŽŽŽŽŽŽ５;（２）：i犃１Y¡S¢£›Ka¤/¥¦O§¨]犃１－狓狔狕，ŽŽŽŽŽŽŽŽŽŽŽŽŽŽŽŽ６;@犃（０，０，６），犅１（０，４，０），犈（２，０，３），犉（０，２，６），ŽŽŽŽŽŽŽ７;(→→→$&'ai犅１犉＝（０，－２，６），犃犈＝（２，０，－３），犃犉＝（０，２，０）．ŽŽŽ８