第一章一般计算资料 第一节常用数学公式及常用数表 代数 (-)恒等式及因式分解 (a土b)2=a2±2ab+b2 2.(a±b)3=a3±3a2b+3ab2±b3 3.(a+b)"=a"+m"b+n(";)a2b2+…+ 4.(a+b+c)2=a2+b2+c2+2ab+2bc+2ca b-s(atb(a-b) 6.a3+b3=(a+b)(a2±ab+b2) b"=(a-b)(a"-1+a"-2b+a”-3b2+……+ab"-2+b”-1) 8. +ab-2-b-1),n=偶数 9.a"+b”=(a+5)(a"-1-a-2b+a3b2 -ab”2+b”-1),n=奇数 (二)指数 3.(am) 4.(b)”=a"b 5. afa 6.am=√am=(a)m 1 (三)一元二次方程 r2+b 它的根: b土√b (四)行列式 1.|A = u1b be 2.1A1=a的22=1b3e +a3
2第一章一般计算资料 =a1(b2c3-b3C2)-a2(bc3-b3c1)+a3(b1c2-b2c1) (五)多元-次方程组 b,y+cie= dI, +by+c2z=d2 b3y c3z=d3: ,4y。4 ,(4≠0) 式中Δ d3 b3c b d C2 ba d (六)以10为底的普通对数 4. Ig(nn )=nIgN 5.ig N =lgl 注:以e为底的自然对数或以任何数为底的对数,均符合上述公式的规律 6以e为底的自然对数(即lnN)与以10为底的普通对数(即gN)间的关系 InN In10lgN=2. 30258509IgN IgN igeInN=0.434294482InN 平面三角 (-)三角函数的基本公式 (二)两角和及差的三角函数 1.sn(a±P)= sinacom± cossing2.∞s(a±A)=0 Osa cosp f sinsing 3.g(a±B)=:+tge (三)半角及倍角的三角函数 4. cca cosa -sin a=1-2 a= 2oosa-1 5.tg2a tga (四)负角的三角函数 2. cos (a)=cosa (五)三角函数的和及差
第一节常用数学公式及常用数表3 sna±sinp=2 esin atmos+P 2. cosa t cosp=2co a+Ba-3 co=-2ing+Bna-B4.ga±g=sn(a±) (六)三角函数的乘积 1. sinasinp=,[cos(a-B)-cos(a+B) 2.8cs9=[og(a-p)+∞x(a+)] sp=,[sin(a-B)+sin(a +B) (七)三角函数的象限换算表 衰11 角(度 酒数 90+a 180+a 270-a 270+α 360 伛a (八)特殊角三角函数和三角函数表 特殊角三角函效表 衰12 G6食 ctga 15° 22 4 号+5√-3 √5 2√2号2+ L (5-√5) -25 +23 ctga
4第一章一般计算资料 角函数表 表13 0000 437.759 017556.35159 17958201994018454258 0s700000087111s9 U83354.561!57 000K 016859 0186 50.001451.00o0.00145687.5s:55 510.08910.99020.018152.88255 572, y82019205208154 2040000002041491.53 019494 n233 233429.7252 9850.54952 00U t00.0091.0000.m029-43.7750 10}0.020360.999|4.0203649.10450 03200.99999 3292.524 340099992448 23456 12 212447.0K5}47 07245 50.004360.w990.043622.845 150.021810.99960.021824582945 659900465214 976 2245.22644 0X45949095202.2243 17 02240 02699940244.06 21|0906:,3210236“92023243剪 156.26i3 y72 4149971024154.4!37 25u.010.90.02713735 97002444 2605649005613 0.02417209940.0247340.43635 270 78599997007857:3i702509s|w.s3 256039.05752 08449090084418.54131 30.9960.00871I4. 30300.026180.9960.02619 0931999600931107432832 4.172733 0636.95627 350.010180.99950.0101898.21825 350.022630.99960.02764136.17 279335.801 0076999401076|92 2337 02850999085135070 011349994015}8.14421 288134.71521 00.01640.9900168594020400.029080.9960.0291034.368 41 02938990934.02719 420229902281.84718 42 99920125179.94317 0299699955029973.36617 0302633.04516 450.01390.9990.0130,76.39015 450.030540.999530.0305532 013389990133874.72914 03083999520308432.42114 470137}990136773.13913 112 311432.s13 0139671.61512 0314 99510314331.8 9990142570.153 500.014540.99890.01455)68.7 0.031990.999490.0320 510148 99890148467.4029 03228 99948 5201513990151366.105!8 0325930.68 5303286994603280.412)7 99988015763,6576 550.016000.99870.0160062.4995 550.03345|0.999440.0334 037301456 56 0162961.3834 03374999430337629.6244 03403 4203405293713 0168759.2662 03432 0716999850171658.261 0346199400346328877 017450.99850.0174657.290 COsO sala a;88
第一节常用数学公式及常用数表5 续表 0.034900 0351列993803521 05263 123456789 99360357927.93757 05359985705357 50.036350.999340.036382749055 0.053790.99850.053 q99303667 =0123456789 03723999310372526.84552 05474 984905503 100.037810.99990.0378326.4325000.055240.998470.055331807550 038i0992703812 05553 2 05582 03897994103900 4246 50.039260.9930.0392925.452|45 1510.056690.998390.0567817.61145 03955 9992 16 99210397 5727998360573 040t3999190401624.89842 04042991804046 71941 2000oa.991040724.54240200058140.98310.0s32417.16940 05854 22041299991504133 22 0587399827058316.99 9991304162 24041899920419!23.85936 05939982405941 250.042170.9910.0422023.69535|25 04246999u 537234 37233 06018 4333996 04337 7N90123 6076 9815 300.043620.950.043662.9 10987 0.061050.998130.06116 3 04391999040439 06134|9812 1639981006175 04449 45412733 02993 34|044789990048 06233 350.045070.98980.04512|2.t 36104536 0457021.88123 3089980106321 06366 400.046530.998920.046s821.47020 400.063950.997950.0640815.60520 4 42 06453 979206467 06482 04769 98860477420.%4616 450.04780.998850.0480320.819I5 450.065400.997860.0655415.25715 47 913 9978206613 12 4914 4920 06656997780667114.99011 500.049430.9980.0494920.20610500.06650.99610.0670014.92410 0500998750500719.9708 520674399772067597958 0503099873 855 67399770 73217 550.05080.998700.0509519.6275 0.97660.0684 986705153 4053 068899976206905 4823 斗0.9983 oea sinatra ga asa sina xQ