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11。等差数列等比数列
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你可能喜欢在等比数列{an}中,a3?a6?a9=1000,则a1a11的值是( )A.10000B.1000C.100D.1_百度知道
在等比数列{an}中,a3?a6?a9=1000,则a1a11的值是( )A.10000B.1000C.100D.1
a6在等比数列{an}中?a9=1000,a3
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90%">1aa<span style="vertical-align?a9=1000∵数列{an}是等比数列:90%" dealflag="1">2=100.故选,则a6=10;font-size:font-font-size:font-size,且a3;wordSpacing,∴611=a<span style="vertical-align:font-size:normal:super?a6:nowrap:wordWrap:90%">63=1000;wordWrap:sub,∴
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出门在外也不愁设数列{an}和{bn}都是等差数列,且a1=25,b1=75,a2+b2=100,那么由an+bn所组成的数列的第37项的值为( )A. 0B. 37C. 100D. -37
∵a1=25,b1=75∴a1+b1=100∵数列{an}和{bn}都是等差数列∴{an+bn}组成的数列也是等差数列而a2+b2=100,那么an+bn=100∴a37+b37=100故选C.
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先求出a1+b1的值,然后根据{an+bn}组成的数列也是等差数列,而a2+b2=100,可求出通项an+bn,从而求出所求.
本题考点:
等差数列的通项公式;等差数列的性质.
考点点评:
本题主要考查了等差数列的通项公式,解题的关键{an+bn}组成的数列也是等差数列,属于基础题.
100 啊 !!
且a1=25,b1=75,a2加b2=100
可以得知 an和bn的公差是互为相反数
也就是 an公差为d
则bn公差为-d
所以a37+b37= a1+36d+b1+36(-d)=a1+b1=25+75=100
设公差分别为m和na2+b2=100a1+m+b1+n=100m+n=0S37=a37+b37=(a1+36m)+(b1+36n)=a1+b1+36(m+n)=a1+b1=100
a1=25,b1=75,a2加b2=100,a2+b2=a1+d1+a2+d2=100,d1+d2=0,a3+b3=a1+2d1+b1+2d2=100,……,a37+b37=a1+36d1+b1+36d2=100(a1+b1)+(a2+b2)+(a3+b3)+……+(a37+b37)=100*37=3700
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> DRA1-CMX100D10 (Crydom Co.)RELAY SSR SPST-NO 100VDC 8A DIN
DRA Series AC/DC Output SSR Assemblies Ready-to-use SSR assemblies for either AC or DC output 10 mm Single channel and 54 mm Four channel DIN Rail mount assemblies available 3 to 15 or 15 to 32 VDC input versions include LED indicator 3 to 32 VDC, 18 to 36 and 90 to 140 AC input control versions do not include LED indicator AC output ratings up to 300 VAC @ 8 Amps (UL) and 380 VAC 8 amps (IEC) DC output ratings up to 200 VDC and 8 Amps Cage style screw terminals for easy and reliable wire connection Socket clip fits all standard 35 mm DIN rail profiles Standard Assemblies (A) Output Output Control Input Input Operating 1 channel DC output Voltage Range VDC Current Range (B) ADC Voltage Range VDC Current @ 5/24 Vdc mA Status Indicator SSR Function Isolation Voltage Vrms Temp. Range °C DRA1-CMX100D10 DRA1-CMX100D6 DRA1-CMX200D3 DRA1-CMX60D10 DRA1-CMX60D5 DRA1-CMXE100D10 DRA1-CMXE100D6 DRA1-CMXE200D3 DRA1-CMXE60D10 DRA1-CMXE60D5 DRA1-MPDCD3 DRA1-MPDCD3-B 1-100 1-100 1-200 1-60 1-60 1-100 1-100 1-200 1-60 1-60 3-60 3-60 0-8 0-6 0-3 0-8 0-5 0-8 0-6 0-3 0-8 0-5 .02-3 .02-3 3-10 3-10 3-10 3-10 3-10 20-28 20-28 20-28 20-28 20-28 3-32 3-32 15 15 15 15 15 15 15 15 15 15 3 3 Yes Yes Yes Yes Yes Yes Yes Yes Yes Yes No No SPST-NO SPST-NO SPST-NO SPST-NO SPST-NO SPST-NO SPST-NO SPST-NO SPST-NO SPST-NO SPST-NO SPST-NC 2500 2500 2500 2500 2500 2500 2500 2500 2500 2500 4000 4000 -30 to 80 -30 to 80 -30 to 80 -30 to 80 -30 to 80 -30 to 80 -30 to 80 -30 to 80 -30 to 80 -30 to 80 -40 to 80 -40 to 80 Output Output Control Input Input Operating 1 channel AC output Voltage Range VAC Current Range (B) Arms Voltage Range VDC Current @ 5/24 Vdc mA Status Indicator SSR Function Isolation Voltage Vrms Temp. Range °C DRA1-CX240D5 DRA1-CX240D5-B DRA1-CX240D5R DRA1-CX380D5 DRA1-CX380D5R DRA1-CXE240D5 DRA1-CXE240D5R DRA1-CXE380D5 DRA1-MCX240D5 DRA1-MCX380D5 DRA1-MCXE240D5 DRA1-MCXE380D5 DRA1-MP120D3 DRA1-MP240D3 DRA1-MP240D4 DRA1-SPF240A25 DRA1-SPF240D25 DRA1-SPF240D25R DRA1-SPF380D25 DRA1-SPF380D25R DRA1-SPFE240A25 DRA1-SPFE240D25 DRA1-SPFE240D25R 12-280 12-280 12-280 48-530 48-530 12-280 12-280 48-530 12-280 48-530 12-280 48-530 12-140 24-280 24-280 12-280 12-280 12-280 48-530 48-530 12-280 12-280 12-280 .06-5 .06-5 .06-5 .06-5 .06-5 .06-5 .06-5 .06-5 .06-5 .06-5 .06-5 .06-5 .02-3 .02-3 .02-4 .06-8 .06-8 .06-8 .06-8 .06-8 .06-8 .06-8 .06-8 3-15 4-28 3-15 4-15 4-15 15-32 15-32 15-32 3-15 4-15 15-32 15-32 3-32 3-32 3-32 90-140 VAC 3-15 3-15 4-15 4-15 18-36 VAC 15-32 15-32 15 15 15 15 15 15 15 15 15 15 15 15 3 3 3 10 15 15 15 15 10 15 15 Yes No Yes Yes Yes Yes Yes Yes Yes Yes Yes Yes No No No No Yes Yes Yes Yes No Yes Yes SPST-NO, Zero Voltage Turn-On SPST-NC, Zero Voltage Turn-On SPST-NO, Random Turn-On SPST-NO, Zero Voltage Turn-On SPST-NO, Random Turn-On SPST-NO, Zero Voltage Turn-On SPST-NO, Random Turn-On SPST-NO, Zero Voltage Turn-On SPST-NO, Zero Voltage Turn-On SPST-NO, Zero Voltage Turn-On SPST-NO, Zero Voltage Turn-On SPST-NO, Zero Voltage Turn-On SPST-NO, Zero Voltage Turn-On SPST-NO, Zero Voltage Turn-On SPST-NO, Zero Voltage Turn-On SPST-NO, Zero Voltage Turn-On SPST-NO, Zero Voltage Turn-On SPST-NO, Random Turn-On SPST-NO, Zero Voltage Turn-On SPST-NO, Random Turn-On SPST-NO, Zero Voltage Turn-On SPST-NO, Zero Voltage Turn-On SPST-NO, Random Turn-On 4000 4000 4000 4000 4000 4000 4000 4000 4000 4000 4000 4000 4000 4000 4000 4000 4000 4000 4000 4000 4000 4000 4000 -30 to 80 -30 to 80 -30 to 80 -30 to 80 -30 to 80 -30 to 80 -30 to 80 -30 to 80 -40 to 80 -40 to 80 -40 to 80 -40 to 80 -40 to 80 -40 to 80 -40 to 80 -30 to 80 -30 to 80 -30 to 80 -30 to 80 -30 to 80 -30 to 80 -30 to 80 -30 to 80 Output Output Control Input Input Operating 4 channel DC output Voltage Range VDC Current Range (B) ADC Voltage Range VDC Current @ 5/24 Vdc mA Status Indicator SSR Function Isolation Voltage Vrms Temp. Range °C DRA4-CMX100D10 DRA4-CMX200D3 DRA4-CMXE100D10 DRA4-CMXE200D3 1-100 1-200 1-100 1-200 0-8 0-3 0-8 0-3 3-10 3-10 20-28 20-28 15 15 15 15 Yes Yes Yes Yes SPST-NO SPST-NO SPST-NO SPST-NO 2500 2500 2500 2500 -30 to 80 -30 to 80 -30 to 80 -30 to 80 Output Output Control Input Input Operating 4 channel AC output Voltage Range VAC Current Range (B) Arms Voltage Range VDC Current @ 5/24 Vdc mA Status Indicator SSR Function Isolation Voltage Vrms Temp. Range °C DRA4-CX240D5 DRA4-CXE240D5 DRA4-MCX240D5 DRA4-MCXE240D5 12-280 12-280 12-280 12-280 .06-5 .06-5 .06-5 .06-5 3-15 15-32 3-15 15-32 15 15 15 15 Yes Yes Yes Yes SPST-NO, Zero Voltage Turn-On SPST-NO, Zero Voltage Turn-On SPST-NO, Zero Voltage Turn-On SPST-NO, Zero Voltage Turn-On 4000 4000 4000 4000 -30 to 80 -30 to 80 -40 to 80 -40 to 80 (A) For full SSR specifications see product datasheet at (B) Maximum output current rating of any assembly is 8 amps per channel @ 40°C ambient, derating from full output to 0 amps @ 80°C ambient. Other Crydom products and competitive part number cross-reference available at:
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